Found 144 Documents (Results 1–100)
A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method. (English) Zbl 1413.11099
On Hausdorff dimension monotonicity of a family of dynamical subsets of Rauzy fractals. (English) Zbl 1418.37023
Lower bounds for simultaneous Diophantine approximation constants. (English) Zbl 1368.11063
Reviewer: Ranjeet Sehmi (Chandigarh)
On the average number of subgroups of the group \(\mathbb Z_m\times\mathbb Z_n\). (English) Zbl 1307.11098
Reviewer: Grigore Călugăreanu (Cluj-Napoca)
Kriging and spatial design accelerated by orders of magnitude: combining low-rank covariance approximations with FFT-techniques. (English) Zbl 1321.86027
On Ramanujan sums over the Gaussian integers. (English) Zbl 1340.11080
Reviewer: Angel V. Kumchev (Towson)
Numerical approximation of the Masser-Gramain constant to four decimal digits: \(\delta= 1.819\dots\). (English) Zbl 1281.11108
On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions. (English) Zbl 1294.11166
Reviewer: Eira J. Scourfield (Egham)
The average size of Ramanujan sums over quadratic number fields. (English) Zbl 1305.11081
Reviewer: László Tóth (Pécs)
On certain arithmetic functions involving the greatest common divisor. (English) Zbl 1285.11120
Reviewer: Eira J. Scourfield (Egham)
Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method. (English) Zbl 1299.11062
The lattice discrepancy of certain three-dimensional bodies. (English) Zbl 1258.11087
Reviewer: Adam J. Harper (Montreal)
A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1218.11091
Reviewer: Yukio Ohkubo (Kagoshima)
A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. II. (English) Zbl 1270.11097
A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. (English) Zbl 1184.11039
Reviewer: Ekkehard Krätzel (Wien)
The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. (English) Zbl 1253.11092
Reviewer: Aleksandar Ivić (Beograd)
The lattice point discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1174.11079
Reviewer: Ekkehard Krätzel (Jena)
Asymptotic formulas for certain arithmetic functions. (English) Zbl 1174.11073
Reviewer: Georges Grekos (St. Etienne)
On the lattice discrepancy of bodies of rotation with boundary points of curvature zero. (English) Zbl 1139.11042
Reviewer: Ekkehard Krätzel (Wien)
On a arithmetic function connected with the distribution of supersingular Fermat varieties. (English) Zbl 1192.11065
Reviewer: Florian Luca (Morelia)
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
Reviewer: Bertrand Meyer (Lausanne)
Models for analyzing the non-steady state diffusion of oxygen through respiring wood. (English) Zbl 1124.92003
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary. (English) Zbl 1118.11043
Reviewer: Matthias Beck (San Francisco)
On differences of two squares. (English) Zbl 1146.11048
MSC:
11N37
The divisor problem for \(d_4(n)\) in short intervals. (English) Zbl 1090.11060
Reviewer: Mongi Naimi (Tunis)
On the distribution of \(M\)-tuples of \(B\)-numbers. (English) Zbl 1150.11036
Reviewer: George Greaves (Cardif)
Primitive lattice points inside an ellipse. (English) Zbl 1081.11064
MSC:
11P21
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
The Piltz divisor problem in number fields: an improved lower bound by Soundararajan’s method. (English) Zbl 1079.11047
Reviewer: Ekkehard Krätzel (Jena)
The distribution of powers of integers in algebraic number fields. (English) Zbl 1079.11057
Reviewer: Ekkehard Krätzel (Jena)
The average number of solutions of the Diophantine equation \(U^2+V^2=W^3\) and related arithmetic functions. (English) Zbl 1060.11058
The lattice point discrepancy of a body of revolution: improving the lower bound by Soundararajan’s method. (English) Zbl 1056.11053
Reviewer: Ekkehard Krätzel (Jena)
On the distribution of powers of Gaussian integers. (Zur Verteilung der Potenzen Gaußscher ganzer Zahlen.) (German) Zbl 1053.11081
Reviewer: Ekkehard Krätzel (Jena)
MSC:
11P21
On the divisor problem: moments of \({\varDelta}(x)\) over short intervals. (English) Zbl 1065.11076
Reviewer: Aleksandar Ivić (Beograd)
MSC:
11N37
On fractional part sums: A mean-square asymptotics over short intervals. (English) Zbl 1069.11042
Reviewer: Ekkehard Krätzel (Jena)
On the mean lattice point discrepancy of a convex disc. (English) Zbl 1013.11065
Reviewer: G.Kolesnik (Los Angeles)
Primitive lattice points in a thin strip along the boundary of a large convex planar domain. (English) Zbl 0984.11047
Reviewer: G.Kolesnik (Los Angeles)
On sums of two \(k\)th powers: a mean-square asymptotics over short intervals. (English) Zbl 0986.11068
Reviewer: Ekkehard Krätzel (Wien)
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
Reviewer: Władysław Narkiewicz (Wrocław)
On sums of \(k\)-th powers: A mean-square bound over short intervals. (English) Zbl 0997.11080
Reviewer: G.Kolesnik (Los Angeles)
On ternary cubic forms. (English) Zbl 0949.11034
Reviewer: Veikko Ennola (Turku)
The asymptotic behaviour of the mean-square of fractional part sums. (English) Zbl 0948.11038
Reviewer: Werner Georg Nowak (Wien)
Powers of Gaussian integers in squares. (Potenzen von Gaußschen ganzen Zahlen in Quadraten.) (German) Zbl 1027.11073
MSC:
11P21
The critical determinant of the double paraboloid and Diophantine approximation in \({\mathbb R}^3\) and \({\mathbb R}^4\). (English) Zbl 0923.11102
Reviewer: Peter Gruber (Wien)
On differences of two \(k\)th powers of integers. (English) Zbl 0922.11080
Reviewer: Kan Jiahai (Nanjing)
Fractional part sums and lattice points. (English) Zbl 0931.11039
Reviewer: W.Recknagel (Ebenhausen)
On sums of two cubes: An \(\Omega_+\)-estimate for the error term. (English) Zbl 0916.11052
Reviewer: G.Kolesnik (Los Angeles)
On sums and differences of two relative prime cubes. II. (English) Zbl 0978.11050
Reviewer: Gerald Kuba (Wien)
Primitive lattice points in starlike planar sets. (English) Zbl 0917.11052
Reviewer: B.Z.Moroz (Bonn)
Sums of two \(k\)-th powers: an Omega estimate for the error term. (English) Zbl 0880.11066
Reviewer: G.Kolesnik (Los Angeles)
Primitive lattice points in convex planar domains. (English) Zbl 0861.11056
Reviewer: E.Krätzel (Wien)
On sums of two \(k\)-th powers: A mean-square bound for the error term. (English) Zbl 0860.11060
Reviewer: G.Kolesnik (Los Angeles)
On the value distribution of a class of arithmetic functions. (English) Zbl 0854.11050
Reviewer: A.Ivić (Beograd)
On the general asymmetric divisor problem. (English) Zbl 0854.11048
Reviewer: A.Ivić (Beograd)
MSC:
11N37
On sums and differences of two relative prime cubes. (English) Zbl 0842.11032
Reviewer: E.Krätzel (Wien)
Third power moments of the error terms corresponding to certain arithmetic functions. (English) Zbl 0839.11043
Reviewer: E.Krätzel (Wien)
MSC:
11N37
An Omega theorem for a class of arithmetic functions. (English) Zbl 0835.11036
Reviewer: E.Krätzel (Jena)
MSC:
11N37
On the distribution of integer ideals in algebraic number fields. (English) Zbl 0803.11061
Reviewer: E.Krätzel (Jena)
MSC:
11R47
A remark concerning the \(s\)-dimensional simultaneous diophantine approximation constants. (English) Zbl 0801.11030
Reviewer: Jörg M. Wills (Siegen)
MSC:
11J13
A divisor problem for values of polynomials.II. (Problème des diviseurs pour des valeurs polynômiales. II.) (French) Zbl 0807.11045
Reviewer: W.Recknagel (Ebenhausen)
Divisor problems in special sets of positive integers. (English) Zbl 0823.11051
Reviewer: A.Ivić (Beograd)
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)
On representations of positive integers as a sum of two polynomials. (English) Zbl 0767.11044
Reviewer: W.Recknagel (Ebenhausen)
Lattice points in large convex bodies. II. (English) Zbl 0769.11037
Reviewer: J.Brüdern (Göttingen)
On the average number of finite Abelian groups of a given order. (English) Zbl 0749.11043
Reviewer: Lu Minggao (Hefei)
Lattice points in large convex bodies. (English) Zbl 0754.11027
Reviewer: Jörg Brüdern (Göttingen)
On the lattice rest of a convex body in \(\mathbb{R}^ s\). III. (English) Zbl 0745.11044
Reviewer: W.G.Nowak (Wien)
On the Piltz divisor problem with congruence conditions. II. (English) Zbl 0731.11052
Reviewer: W.Recknagel (Ebenhausen)
A two-sided omega-theorem for an asymmetric divisor problem. (English) Zbl 0707.11065
Reviewer: Ekkehard Krätzel (Jena)
MSC:
11N37
The distribution of Pythagorean triples and a three-dimensional divisor problem. (English) Zbl 0702.11064
Reviewer: F.Fricker
On a mean-value theorem concerning differences of two k-th powers. (English) Zbl 0687.10033
Reviewer: W.Recknagel
On sums of two coprime k-th powers. (English) Zbl 0678.10034
Reviewer: W.G.Nowak
On a divisor problem in arithmetic progressions. (English) Zbl 0678.10033
Reviewer: R.Sitaramachandrarao
On an error term involving the totient function. (English) Zbl 0677.10030
Reviewer: J.Herzog
On an asymmetric divisor problem with congruence conditions. (English) Zbl 0674.10037
Reviewer: Aleksandar Ivić (Beograd)
Primitive lattice points in rational ellipses and related arithmetic functions. (English) Zbl 0678.10032
Reviewer: W.Recknagel
On the number of primitive Pythagorean triangles. (English) Zbl 0667.10028
Reviewer: Thomas Maxsein
Conditional asymptotic formulae for a class of arithmetic functions. (English) Zbl 0658.10052
Reviewer: A.Hildebrand
MSC:
11N37
On the asymptotic behaviour of sums \(\sum g(n)\{xn^{-\alpha}\}^ m\). (English) Zbl 0654.10040
Reviewer: S.Kanemitsu
MSC:
11N37
On the distribution of square free ideals in quadratic number fields. (Zur Verteilung der quadratfreien Ideale in quadratischen Zahlkörpern.) (English) Zbl 0636.12004
Reviewer: Jürgen Hinz (Marburg)
On a limit problem in Ford circles. (Über ein Grenzwertproblem bei Ford-Kreisen.) (German) Zbl 0634.10029
Reviewer: W. Recknagel (Ebenhausen)
The Liouville function on square-full ideals in quadratic number fields. (English) Zbl 0631.12001
Reviewer: Werner Georg Nowak
Bemerkungen über Fordkugeln. (Remarks on Ford balls). (German) Zbl 0616.10030
Reviewer: Th.Maxsein
An asymptotic formula of Rieger concerning the Ford-Speiser configuration. (Über eine asymptotische Formel von Rieger betreffend die Ford-Speiser- Konfiguration.) (German) Zbl 0595.10010
Reviewer: Werner Georg Nowak (Wien)
On Euler’s \(\varphi\)-function in quadratic number fields. (Über die Eulersche \(\varphi\)-Funktion in quadratischen Zahlkörpern.) (German) Zbl 0594.12001
Reviewer: Werner Georg Nowak (Wien)
On certain estimates in the theory of Ford circles. (Zu einigen Abschätzungen in der Theorie der Ford-Kreise.) (German) Zbl 0599.10026
Reviewer: T. Maxsein
On lattice points in planar domains. (English) Zbl 0593.10038
Reviewer: F.Fricker
MSC:
11P21
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