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Estimating the critical determinants of a class of three-dimensional star bodies. (English) Zbl 1415.11094

Commun. Math. 25, No. 2, 149-157 (2017).

MSC: 11J13 11H16

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On the critical determinants of certain star bodies. (English) Zbl 1433.11085

Commun. Math. 25, No. 1, 5-11 (2017).

MSC: 11J13 11H16

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A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method. (English) Zbl 1413.11099

Math. Slovaca 67, No. 2, 533-539 (2017).

MSC: 11M06 11M41 11N37

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Simultaneous Diophantine approximation: searching for analogues of Hurwitz’s theorem. (English) Zbl 1402.11102

Rassias, Themistocles M. (ed.) et al., Essays in mathematics and its applications. In honor of Vladimir Arnold. Cham: Springer (ISBN 978-3-319-31336-8/hbk; 978-3-319-31338-2/ebook). 181-197 (2016).

MSC: 11J13 11-02

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Nowak, W. Georg; Scheicher, Klaus; Sirvent, Víctor F.

Lattice points in bodies of rotation with a dent. (English) Zbl 1407.11116

Int. J. Number Theory 12, No. 2, 567-583 (2016).

MSC: 11P21 11K38

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On Hausdorff dimension monotonicity of a family of dynamical subsets of Rauzy fractals. (English) Zbl 1418.37023

Int. J. Number Theory 11, No. 4, 1089-1098 (2015).

MSC: 37B10 28A80 11B85 11N37

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Integer points in large bodies. (English) Zbl 1360.11091

Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 583-599 (2014).

MSC: 11P21

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Nowak, Werner Georg; Tóth, László

Lower bounds for simultaneous Diophantine approximation constants. (English) Zbl 1368.11063

Commun. Math. 22, No. 1, 71-76 (2014).

Reviewer: Ranjeet Sehmi (Chandigarh)

MSC: 11J13 11H16

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On the average number of subgroups of the group \(\mathbb Z_m\times\mathbb Z_n\). (English) Zbl 1307.11098

Int. J. Number Theory 10, No. 2, 363-374 (2014).

Reviewer: Grigore Călugăreanu (Cluj-Napoca)

MSC: 11N45 20K01 20K27

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Nowak, W.; Litvinenko, A.

Kriging and spatial design accelerated by orders of magnitude: combining low-rank covariance approximations with FFT-techniques. (English) Zbl 1321.86027

Math. Geosci. 45, No. 4, 411-435 (2013).

MSC: 86A32 65C60 62M30

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Melquiond, Guillaume; Nowak, W. Georg; Zimmermann, Paul

On Ramanujan sums over the Gaussian integers. (English) Zbl 1340.11080

Math. Slovaca 63, No. 4, 725-732 (2013).

Reviewer: Angel V. Kumchev (Towson)

MSC: 11N37 11L03

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Numerical approximation of the Masser-Gramain constant to four decimal digits: \(\delta= 1.819\dots\). (English) Zbl 1281.11108

Math. Comput. 82, No. 282, 1235-1246 (2013).

MSC: 11Y60 11H06 11P21 52C05

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On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions. (English) Zbl 1294.11166

Cent. Eur. J. Math. 11, No. 3, 477-486 (2013).

Reviewer: Eira J. Scourfield (Egham)

MSC: 11N37 11A05 11A25 11L07

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Krätzel, Ekkehard; Nowak, Werner Georg; Tóth, László

The average size of Ramanujan sums over quadratic number fields. (English) Zbl 1305.11081

Arch. Math. 99, No. 5, 433-442 (2012).

Reviewer: László Tóth (Pécs)

MSC: 11N37 11L05 11L07 11R11

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On certain arithmetic functions involving the greatest common divisor. (English) Zbl 1285.11120

Cent. Eur. J. Math. 10, No. 2, 761-774 (2012).

Reviewer: Eira J. Scourfield (Egham)

MSC: 11N37 11A05 11A25 11L07

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Nowak, Werner Georg; Hietz, Peter

Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method. (English) Zbl 1299.11062

Acta Math. Hung. 134, No. 1-2, 12-28 (2012).

MSC: 11L40 11K38 11P21

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An improved model for the diffusion of oxygen into respiring wood. (English) Zbl 1404.92124

J. Biol. Syst. 19, No. 1, 101-112 (2011).

MSC: 92C80 35Q92

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Garcia, V. C.; Nowak, W. G.

The lattice discrepancy of certain three-dimensional bodies. (English) Zbl 1258.11087

Monatsh. Math. 163, No. 2, 149-174 (2011).

Reviewer: Adam J. Harper (Montreal)

MSC: 11P21 11N37 11K38 52C07

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A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1218.11091

Acta Math. Hung. 128, No. 1-2, 106-115 (2010).

Reviewer: Yukio Ohkubo (Kagoshima)

MSC: 11P21 11K38 52C07

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On the lattice discrepancy of ellipsoids of rotation. (English) Zbl 1279.11098

Unif. Distrib. Theory 4, No. 2, 101-114 (2009).

MSC: 11P21 11N37 11K38 11L07

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A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. II. (English) Zbl 1270.11097

Cent. Eur. J. Math. 7, No. 3, 452-462 (2009).

MSC: 11N37 35P20 58J50 11P21

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A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. (English) Zbl 1184.11039

Arch. Math. 92, No. 4, 344-354 (2009).

Reviewer: Ekkehard Krätzel (Wien)

MSC: 11N37 11P21 58J50 11F72 35P20

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The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. (English) Zbl 1253.11092

Monatsh. Math. 154, No. 2, 145-156 (2008).

Reviewer: Aleksandar Ivić (Beograd)

MSC: 11P21 11K38 52C07

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The lattice point discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1174.11079

Acta Math. Hung. 120, No. 1-2, 179-192 (2008).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11P21 11K38 52C07

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Garaev, M. Z.; Kühleitner, M.; Luca, F.; Nowak, W. G.

Asymptotic formulas for certain arithmetic functions. (English) Zbl 1174.11073

Math. Slovaca 58, No. 3, 301-308 (2008).

Reviewer: Georges Grekos (St. Etienne)

MSC: 11N37 11R42

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On the lattice discrepancy of bodies of rotation with boundary points of curvature zero. (English) Zbl 1139.11042

Arch. Math. 90, No. 2, 181-192 (2008).

Reviewer: Ekkehard Krätzel (Wien)

MSC: 11P21 11K38 52C07

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On a arithmetic function connected with the distribution of supersingular Fermat varieties. (English) Zbl 1192.11065

Unif. Distrib. Theory 2, No. 1, 11-21 (2007).

Reviewer: Florian Luca (Morelia)

MSC: 11N37 14H45

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Hietz, Peter; Nowak, Werner Georg

An explicit estimate for the lattice point discrepancy of ellipsoids of rotation. (Eine explizite Abschätzung für die Gitter-Diskrepanz von Rotationsellipsoiden.) (German) Zbl 1173.11053

Monatsh. Math. 152, No. 1, 45-61 (2007).

Reviewer: Bertrand Meyer (Lausanne)

MSC: 11P21 11K38 52C07

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Models for analyzing the non-steady state diffusion of oxygen through respiring wood. (English) Zbl 1124.92003

J. Biol. Syst. 15, No. 1, 63-72 (2007).

MSC: 92C05 35K05 35Q92 35A35

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A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary. (English) Zbl 1118.11043

Acta Arith. 127, No. 3, 285-299 (2007).

Reviewer: Matthias Beck (San Francisco)

MSC: 11P21 11K38 52C07

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Garaev, M. Z.; Luca, F.; Nowak, W. G.

Short interval asymptotics for a class of arithmetic functions. (English) Zbl 1174.11074

Acta Math. Hung. 113, No. 1-2, 85-99 (2006).

MSC: 11N37 11N45 11P21

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On the average number of integral ideals of given norm in a quadratic number field: an improved mean-square asymptotics. (English) Zbl 1170.11033

Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 192-204 (2006).

Reviewer: Ekkehard Krätzel (Wien)

MSC: 11N37 11P21 11R44 11N36 11R42

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Ivić, A.; Krätzel, E.; Kühleitner, M.; Nowak, W. G.

Lattice points in large regions and related arithmetic functions: recent developments in a very classic topic. (English) Zbl 1177.11084

Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 89-128 (2006).

Reviewer: Bertrand Meyer (Lausanne)

MSC: 11P21 11N25 11N37 11N45 11N64 11H06

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Krätzel, E.; Nowak, W. G.

On differences of two squares. (English) Zbl 1146.11048

Cent. Eur. J. Math. 4, No. 1, 110-122 (2006).

MSC: 11N37

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Garaev, M. Z.; Luca, F.; Nowak, W. G.

The divisor problem for \(d_4(n)\) in short intervals. (English) Zbl 1090.11060

Arch. Math. 86, No. 1, 60-66 (2006).

Reviewer: Mongi Naimi (Tunis)

MSC: 11N37 11N56 11M06 11P21

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Eine effektive Absch”atzung f”ur die Gitter-Diskrepanz von Rotationsellipsoiden. arXiv:math/0603292

Preprint, arXiv:math/0603292 [math.NT] (2006).

MSC: 11P21

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On the distribution of \(M\)-tuples of \(B\)-numbers. (English) Zbl 1150.11036

Publ. Inst. Math., Nouv. Sér. 77(91), 71-78 (2005).

Reviewer: George Greaves (Cardif)

MSC: 11N25 11N36

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Primitive lattice points inside an ellipse. (English) Zbl 1081.11064

Czech. Math. J. 55, No. 2, 519-530 (2005).

MSC: 11P21

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Nowak, Werner Georg; Schoissengeier, Johannes

Effective estimates for the lattice point discrepancy of certain planar and three-dimensional domains. (Effektive Abschätzungen für den Gitterrest gewisser ebener und dreidimensionaler Bereiche.) (English) Zbl 1197.11135

Monatsh. Math. 146, No. 1, 21-35 (2005).

MSC: 11P21 52C07

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Girstmair, K.; Kühleitner, M.; Müller, W.; Nowak, W. G.

The Piltz divisor problem in number fields: an improved lower bound by Soundararajan’s method. (English) Zbl 1079.11047

Acta Arith. 117, No. 2, 187-206 (2005).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11N37 11P21 11R45

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The distribution of powers of integers in algebraic number fields. (English) Zbl 1079.11057

J. Théor. Nombres Bordx. 16, No. 1, 197-214 (2004).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11R47 11P21

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Kühleitner, M.; Nowak, W. G.

The average number of solutions of the Diophantine equation \(U^2+V^2=W^3\) and related arithmetic functions. (English) Zbl 1060.11058

Acta Math. Hung. 104, No. 3, 225-240 (2004).

MSC: 11N37 11D45 11M06

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The lattice point discrepancy of a body of revolution: improving the lower bound by Soundararajan’s method. (English) Zbl 1056.11053

Arch. Math. 83, No. 3, 208-216 (2004).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11P21 11K38 52C07

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Kraetzel, E.; Nowak, W. G.

Lattice points in a circle: an improved mean-square asymptotics. (English) Zbl 1092.11039

Acta Arith. 113, No. 3, 259-272 (2004).

MSC: 11P21 11N37 11N25 11N36

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Effektive Abschaetzungen fuer den Gitterrest gewisser ebener und dreidimensionaler Bereiche. arXiv:math/0405215

Preprint, arXiv:math/0405215 [math.NT] (2004).

MSC: 11P21

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On the distribution of powers of Gaussian integers. (Zur Verteilung der Potenzen Gaußscher ganzer Zahlen.) (German) Zbl 1053.11081

Abh. Math. Semin. Univ. Hamb. 73, 43-65 (2003).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11P21

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On the divisor problem: moments of \({\varDelta}(x)\) over short intervals. (English) Zbl 1065.11076

Acta Arith. 109, No. 4, 329-341 (2003).

Reviewer: Aleksandar Ivić (Beograd)

MSC: 11N37

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On fractional part sums: A mean-square asymptotics over short intervals. (English) Zbl 1069.11042

Monatsh. Math. 137, No. 3, 227-238 (2002).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11P21 11K99

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On the mean lattice point discrepancy of a convex disc. (English) Zbl 1013.11065

Arch. Math. 78, No. 3, 241-248 (2002).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11K38

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Primitive lattice points in a thin strip along the boundary of a large convex planar domain. (English) Zbl 0984.11047

Acta Arith. 99, No. 4, 331-341 (2001).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11N37

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On sums of two \(k\)th powers: a mean-square asymptotics over short intervals. (English) Zbl 0986.11068

Acta Arith. 99, No. 2, 191-203 (2001).

Reviewer: Ekkehard Krätzel (Wien)

MSC: 11P21 11N37 11L07

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Kuba, G.; Müller, Helmut; Nowak, W. G.; Schoissengeier, J.

On the distribution of the power of integers of a complex cubic number field. (Zur Verteilung der Potenzen ganzer Zahlen eines komplexen kubischen Zahlkörpers.) (German) Zbl 1008.11039

Abh. Math. Semin. Univ. Hamb. 70, 341-354 (2000).

Reviewer: Władysław Narkiewicz (Wrocław)

MSC: 11R16 11P21 11R04 11R47

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On sums of \(k\)-th powers: A mean-square bound over short intervals. (English) Zbl 0997.11080

Funct. Approximatio, Comment. Math. 28, 117-125 (2000).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11N37 11L07

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On ternary cubic forms. (English) Zbl 0949.11034

Math. Pannonica 11, No. 1, 87-100 (2000).

Reviewer: Veikko Ennola (Turku)

MSC: 11H50 11H16

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Diophantine approximation in \(\mathbb{R}^s\): On a method of Mordell and Armitage. (English) Zbl 0976.11031

Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 339-349 (2000).

Reviewer: J.V.Armitage (Durham)

MSC: 11H06 11H16 11H46 11J13

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Müller, Helmut; Nowak, Werner Georg

The asymptotic behaviour of the mean-square of fractional part sums. (English) Zbl 0948.11038

Proc. Edinb. Math. Soc., II. Ser. 43, No. 2, 309-323 (2000).

Reviewer: Werner Georg Nowak (Wien)

MSC: 11P21 11K99

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Powers of Gaussian integers in squares. (Potenzen von Gaußschen ganzen Zahlen in Quadraten.) (German) Zbl 1027.11073

Mitt. Math. Ges. Hamb. 18, 119-126 (1999).

Reviewer: Wolfgang Schwarz (Frankfurt/Main) (MR 2001b:11089)

MSC: 11P21

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The critical determinant of the double paraboloid and Diophantine approximation in \({\mathbb R}^3\) and \({\mathbb R}^4\). (English) Zbl 0923.11102

Math. Pannonica 10, No. 1, 111-122 (1999).

Reviewer: Peter Gruber (Wien)

MSC: 11H06 11J13 52C07

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On differences of two \(k\)th powers of integers. (English) Zbl 0922.11080

Ramanujan J. 2, No. 4, 421-440 (1998).

Reviewer: Kan Jiahai (Nanjing)

MSC: 11P21 11N37 11L07

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Kühleitner, M.; Nowak, W. G.; Schoissengeier, J.; Wooley, T. D.

Fractional part sums and lattice points. (English) Zbl 0931.11039

Proc. Edinb. Math. Soc., II. Ser. 41, No. 3, 497-515 (1998).

Reviewer: W.Recknagel (Ebenhausen)

MSC: 11P21 11K99 11B68

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On sums of two cubes: An \(\Omega_+\)-estimate for the error term. (English) Zbl 0916.11052

Acta Arith. 85, No. 2, 179-195 (1998).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11N37

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On sums and differences of two relative prime cubes. II. (English) Zbl 0978.11050

Tatra Mt. Math. Publ. 11, 23-34 (1997).

Reviewer: Gerald Kuba (Wien)

MSC: 11N37 11P21 11M41 11M26

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Primitive lattice points in starlike planar sets. (English) Zbl 0917.11052

Pac. J. Math. 179, No. 1, 163-178 (1997).

Reviewer: B.Z.Moroz (Bonn)

MSC: 11P21 11M26

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Huxley, Martin N.; Nowak, Werner Georg

Sums of two \(k\)-th powers: an Omega estimate for the error term. (English) Zbl 0880.11066

Arch. Math. 68, No. 1, 27-35 (1997).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11N37 11L07

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Primitive lattice points in convex planar domains. (English) Zbl 0861.11056

Acta Arith. 76, No. 3, 271-283 (1996).

Reviewer: E.Krätzel (Wien)

MSC: 11P21 11M26 11M41

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On sums of two \(k\)-th powers: A mean-square bound for the error term. (English) Zbl 0860.11060

Analysis 16, No. 3, 297-304 (1996).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11P21 11N37 11L07

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On the value distribution of a class of arithmetic functions. (English) Zbl 0854.11050

Commentat. Math. Univ. Carol. 37, No. 1, 117-134 (1996).

Reviewer: A.Ivić (Beograd)

MSC: 11N37 11N64 11N45

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On the general asymmetric divisor problem. (English) Zbl 0854.11048

Abh. Math. Semin. Univ. Hamb. 65, 259-276 (1995).

Reviewer: A.Ivić (Beograd)

MSC: 11N37

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Müller, Wolfgang; Nowak, Werner Georg

On sums and differences of two relative prime cubes. (English) Zbl 0842.11032

Analysis 15, No. 4, 325-341 (1995).

Reviewer: E.Krätzel (Wien)

MSC: 11N37 11P21 11M26

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Third power moments of the error terms corresponding to certain arithmetic functions. (English) Zbl 0839.11043

Manuscr. Math. 87, No. 4, 459-480 (1995).

Reviewer: E.Krätzel (Wien)

MSC: 11N37

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An Omega theorem for a class of arithmetic functions. (English) Zbl 0835.11036

Math. Nachr. 165, 79-98 (1994).

Reviewer: E.Krätzel (Jena)

MSC: 11N37

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On the distribution of integer ideals in algebraic number fields. (English) Zbl 0803.11061

Math. Nachr. 161, 59-74 (1993).

Reviewer: E.Krätzel (Jena)

MSC: 11R47

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A remark concerning the \(s\)-dimensional simultaneous diophantine approximation constants. (English) Zbl 0801.11030

Grazer Math. Ber. 318, 105-110 (1993).

Reviewer: Jörg M. Wills (Siegen)

MSC: 11J13

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Mercier, Armel; Nowak, Werner Georg

On the average order of arithmetic functions connected with the Riemann zeta-function. (English) Zbl 0914.11052

Srivastava, H. M. (ed.) et al., Analysis, geometry and groups: a Riemann legacy volume. 2 vols. Palm Harbor, FL: Hadronic Press. Hadronic Press Collection of Original Articles. Part II, 449-470 (1993).

MSC: 11N37 11M06 11M41

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A divisor problem for values of polynomials.II. (Problème des diviseurs pour des valeurs polynômiales. II.) (French) Zbl 0807.11045

Ann. Sci. Math. Qué. 16, No. 1, 81-94 (1992).

Reviewer: W.Recknagel (Ebenhausen)

MSC: 11N37 11L07 11P21

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Divisor problems in special sets of positive integers. (English) Zbl 0823.11051

Acta Math. Univ. Comen., New Ser. 61, No. 1, 101-115 (1992).

Reviewer: A.Ivić (Beograd)

MSC: 11N37 11N69 11R47

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Kuba, Gerald; Nowak, Werner Georg

Sums of reciprocals of general divisor functions and the Selberg divisor problem. (English) Zbl 0727.11035

Abh. Math. Semin. Univ. Hamb. 61, 163-173 (1991).

Reviewer: W. G. Nowak (Wien)

MSC: 11N37 11R42 11R47

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On representations of positive integers as a sum of two polynomials. (English) Zbl 0767.11044

Arch. Math. 58, No. 2, 147-156 (1992).

Reviewer: W.Recknagel (Ebenhausen)

MSC: 11P21 11N37 11B68

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Mercier, Armel; Nowak, Werner Georg

A divisor problem for values of polynomials. (English) Zbl 0807.11044

Can. Math. Bull. 35, No. 1, 108-115 (1992).

MSC: 11N37 11L07 11P21

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Lattice points in large convex bodies. II. (English) Zbl 0769.11037

Acta Arith. 62, No. 3, 285-295 (1992).

Reviewer: J.Brüdern (Göttingen)

MSC: 11P21 11L07

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On the average number of finite Abelian groups of a given order. (English) Zbl 0749.11043

Ann. Sci. Math. Qué. 15, No. 2, 193-202 (1991).

Reviewer: Lu Minggao (Hefei)

MSC: 11N45 20K99

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Lattice points in large convex bodies. (English) Zbl 0754.11027

Monatsh. Math. 112, No. 1, 61-72 (1991).

Reviewer: Jörg Brüdern (Göttingen)

MSC: 11P21 11L07

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On the lattice rest of a convex body in \(\mathbb{R}^ s\). III. (English) Zbl 0745.11044

Czech. Math. J. 41(116), No. 2, 359-367 (1991).

Reviewer: W.G.Nowak (Wien)

MSC: 11P21 11H06 52C07

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On the Piltz divisor problem with congruence conditions. II. (English) Zbl 0731.11052

Abh. Math. Semin. Univ. Hamb. 60, 153-163 (1990).

Reviewer: W.Recknagel (Ebenhausen)

MSC: 11N37 11P21 11N25

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Müller, Wolfgang; Nowak, Werner Georg

Divisors in arithmetic progressions in imaginary quadratic number fields. (English) Zbl 0726.11057

Number-theoretic analysis, Semin. Proc., Vienna/Austria 1988-89, Lect. Notes Math. 1452, 178-192 (1990).

Reviewer: E.Krätzel (Jena)

MSC: 11N37 11R47

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Lattice points in planar domains: applications of Huxley’s ‘discrete Hardy-Littlewood method’. (English) Zbl 0715.11054

Number-theoretic analysis, Semin. Proc., Vienna/Austria 1988-89, Lect. Notes Math. 1452, 139-164 (1990).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11P21 11P55 11N37 11H06

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A two-sided omega-theorem for an asymmetric divisor problem. (English) Zbl 0707.11065

Manuscr. Math. 69, No. 2, 153-172 (1990).

Reviewer: Ekkehard Krätzel (Jena)

MSC: 11N37

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Nowak, Werner Georg; Recknagel, Winfried

On the Piltz divisor problem with congruence conditions. (English) Zbl 0701.11038

Number theory, Proc. 1st Conf. Can. Number Theory Assoc., Banff/Alberta (Can.) 1988, 455-469 (1990).

Reviewer: W.Recknagel

MSC: 11N37 11M06 11M35

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The distribution of Pythagorean triples and a three-dimensional divisor problem. (English) Zbl 0702.11064

Math. J. Okayama Univ. 31, 213-220 (1989).

Reviewer: F.Fricker

MSC: 11P21 11M26 11N37

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Müller, Wolfgang; Nowak, Werner Georg

On a mean-value theorem concerning differences of two k-th powers. (English) Zbl 0687.10033

Tsukuba J. Math. 13, No. 1, 23-29 (1989).

Reviewer: W.Recknagel

MSC: 11N37 11P21 11P05

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On Euler’s \(\phi\)-function in quadratic number fields. (English) Zbl 0683.10037

Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 755-771 (1989).

Reviewer: T.Maxsein

MSC: 11N37 11R04 11R11 11A25

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On sums of two coprime k-th powers. (English) Zbl 0678.10034

Monatsh. Math. 108, No. 1, 47-57 (1989).

Reviewer: W.G.Nowak

MSC: 11N37 11P21 11L40

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On a divisor problem in arithmetic progressions. (English) Zbl 0678.10033

J. Number Theory 31, No. 2, 174-182 (1989).

Reviewer: R.Sitaramachandrarao

MSC: 11N37 11N13

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Menzer, Hartmut; Nowak, Werner Georg

On an error term involving the totient function. (English) Zbl 0677.10030

Indian J. Pure Appl. Math. 20, No. 6, 537-542 (1989).

Reviewer: J.Herzog

MSC: 11N37 11A25

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On an asymmetric divisor problem with congruence conditions. (English) Zbl 0674.10037

Manuscr. Math. 64, No. 1, 107-119 (1989).

Reviewer: Aleksandar Ivić (Beograd)

MSC: 11N37 11L03

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