Document Search Results

Kritzer, Peter (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Berlin: De Gruyter (ISBN 978-3-11-031789-3/hbk; 978-3-11-031793-0/ebook). Radon Series on Computational and Applied Mathematics 15, 87-104 (2014).

MSC: 11B85 11A63 11N60

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Ninčević, Marina; Slijepčević, Siniša

Positive exponential sums and odd polynomials. (English) Zbl 1366.11094

Rad Hrvat. Akad. Znan. Umjet. 519, Mat. Znan. 18, 35-53 (2014).

MSC: 11L07 11P99 37A45

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Matolcsi, Máté; Ruzsa, Imre Z.

Difference sets and positive exponential sums. I: General properties. (English) Zbl 1354.11017

J. Fourier Anal. Appl. 20, No. 1, 17-41 (2014).

Reviewer: Qinghai Zhong (Graz)

MSC: 11B50 11B75 11P70

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Ouled Azaiez, Najib; Mkaouar, Mohamed; Thuswaldner, Jörg M.

On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) (French. English summary) Zbl 1353.11012

Funct. Approximatio, Comment. Math. 51, No. 2, 237-267 (2014).

Reviewer: Thomas Stoll (Vandœuvre-lés Nancy)

MSC: 11A63 11L03 11N05 11L20 11N60

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Lubinsky, D. S.

Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series. (English) Zbl 1340.11072

Acta Math. Hung. 143, No. 2, 422-438 (2014).

Reviewer: Tonko Tonkov (Sofia)

MSC: 11L03 42A32 42C05

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Kátai, Imre

On the Turán-Kubilius inequality. (English) Zbl 1333.11082

Pintz, János (ed.) et al., Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22–26, 2011. Berlin: De Gruyter (ISBN 978-3-11-028242-9/ebook; 978-3-11-028237-5/hbk). De Gruyter Proceedings in Mathematics, 177-185 (2014).

Reviewer: Adam J. Harper (Cambridge)

MSC: 11L03 11N60 11K65 11A63

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Bochkarev, S. V.

de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. (English. Russian original) Zbl 1311.42011

Russ. Math. Surv. 69, No. 1, 119-152 (2014); translation from Usp. Mat. Nauk 69, No. 1, 125-162 (2014).

Reviewer: Valentina Cesarino (Vicenza)

MSC: 42A32 42A55

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Hamel, Mariah; Lyall, Neil; Rice, Alex

Improved bounds on Sárközy’s theorem for quadratic polynomials. (English) Zbl 1337.11006

Int. Math. Res. Not. 2013, No. 8, 1761-1782 (2013).

MSC: 11B30 11L03

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Khan, Asif R.; Latif, Naveed; Pečarić, Josip

Exponential convexity for majorization. (English) Zbl 1277.26018

J. Inequal. Appl. 2012, Paper No. 105, 13 p. (2012).

MSC: 26A51 39B62 26D15 26D20 26D99

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Koumandos, Stamatis; Lamprecht, Martin

The zeros of certain Lommel functions. (English) Zbl 1277.33003

Proc. Am. Math. Soc. 140, No. 9, 3091-3100 (2012).

Reviewer: Juri M. Rappoport (Moskva)

MSC: 33C10 33B10 42A05 30C15 26D15

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Latif, N.; Perić, I.; Pečarić, J.

On discrete Favard’s and Berwald’s inequalities. (English) Zbl 1263.26008

Commun. Math. Anal. 12, No. 2, 34-57 (2012).

MSC: 26A24 26A51 26D15

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Morgenbesser, Johannes F.

The sum of digits of Gaussian primes. (English) Zbl 1243.11007

Ramanujan J. 27, No. 1, 43-70 (2012).

Reviewer: Thomas Stoll (Marseille)

MSC: 11A63 11L20 11N60 42A05

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Luca, Florian; Shparlinski, Igor E.

Errata to “Uniform distribution of some ratios involving the number of prime and integer divisors”. (English) Zbl 1313.11106

Unif. Distrib. Theory 6, No. 2, 83 (2011).

Reviewer: Štefan Porubský (Praha)

MSC: 11L07 11N37 11N60

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Zheng, Xingzhong; Ren, Fangguo

Properties of matrix exponentials. (Chinese. English summary) Zbl 1249.15014

Basic Sci. J. Text. Univ. 24, No. 1, 118-121 (2011).

MSC: 15A16 15A69 15B48

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Morgenbesser, Johannes F.

The sum of digits of \(\lfloor n^c\rfloor\). (English) Zbl 1270.11009

Acta Arith. 148, No. 4, 367-393 (2011).

Reviewer: Manfred G. Madritsch (Vandœuvre)

MSC: 11A63 11L07 11N60 60F05

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Koumandos, Stamatis

Positive trigonometric sums and starlike functions. (English) Zbl 1233.30010

Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 157-182 (2011).

Reviewer: Florin Nicolae (Berlin)

MSC: 30C45 33B10

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Slijepčević, Siniša

On van der Corput property of squares. (English) Zbl 1254.11078

Glas. Mat., III. Ser. 45, No. 2, 357-372 (2010).

Reviewer: Imre Z. Ruzsa (Budapest)

MSC: 11L07 37A45 11B83 11P99

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Anwar, M.; Latif, N.; Pečarić, J.

Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means. (English) Zbl 1192.15012

J. Inequal. Appl. 2010, Article ID 728251, 19 p. (2010).

MSC: 15B48 26D15 26E60

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Jakšetić, J.; Pečarić, J.; ur Rehman, Atiq

Cauchy means involving Chebyshev functional. (English) Zbl 1208.26035

Proc. A. Razmadze Math. Inst. 151, 43-54 (2009).

Reviewer: Petr Gurka (Praha)

MSC: 26D15 26D20 26D99

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Drmota, Michael; Mauduit, Christian; Rivat, Joël

Primes with an average sum of digits. (English) Zbl 1230.11013

Compos. Math. 145, No. 2, 271-292 (2009).

Reviewer: Clemens Heuberger (Klagenfurt)

MSC: 11A63 11L03 11N05 11N60 11L20 60F05

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Banks, William D.; Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E.

Uniform distribution of fractional parts related to pseudoprimes. (English) Zbl 1255.11040

Can. J. Math. 61, No. 3, 481-502 (2009).

MSC: 11L07 11N37 11N60

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Balasuriya, Sanka; Banks, William D.; Shparlinski, Igor E.

Congruences and exponential sums with the sum of aliquot divisors function. (English) Zbl 1231.11094

Int. J. Number Theory 4, No. 6, 903-909 (2008).

MSC: 11L07 11A07 11N60

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Drmota, Michael; Rivat, Joël; Stoll, Thomas

The sum of digits of primes in \(\mathbb Z[i]\). (English) Zbl 1190.11053

Monatsh. Math. 155, No. 3-4, 317-347 (2008).

Reviewer: Wolfgang Steiner (Paris)

MSC: 11A63 11L07 11N60

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Washburn, John

WITHDRAWN: Convolution and Cross-Correlation of Ramanujan-Fourier Series. arXiv:0805.0284

Preprint, arXiv:0805.0284 [math.NT] (2008); retraction notice ibid.

MSC: 11A41 11L03 11L07 42A32

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Kátai, Imre

Distribution of arithmetical functions on some subsets of integers. (English) Zbl 1164.11047

Algebra Discrete Math. 2007, No. 3, 87-98 (2007).

MSC: 11N25 11N60 11A25 11L07

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Anderson, B.; Ash, J. M.; Jones, R. L.; Rider, D. G.; Saffari, B.

Exponential sums with coefficients 0 or 1 and concentrated \(L^p\) norms. (English) Zbl 1133.42004

Ann. Inst. Fourier 57, No. 5, 1377-1404 (2007).

Reviewer: Stamatis Koumandos (Nicosia)

MSC: 42A05 42A10 42A32 11L03

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Chan, O-Yeat

Weighted trigonometric sums over a half-period. (English) Zbl 1151.11040

Adv. Appl. Math. 38, No. 4, 482-504 (2007).

Reviewer: Tatyana L. Todorova (Sofia)

MSC: 11L03 42A32 42B05

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Bochkarev, S. V.

Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. (English. Russian original) Zbl 1329.42003

Proc. Steklov Inst. Math. 255, 49-64 (2006); translation from Tr. Mat. Inst. Steklova 255, 55-70 (2006).

MSC: 42A16 42A32 42B25 11L03

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Luca, Florian; Shparlinski, Igor E.

Uniform distribution theory of some ratios involving the number of prime and integer divisors. (English) Zbl 1147.11057

Unif. Distrib. Theory 1, No. 1, 15-26 (2006); erratum ibid. 6, No. 2, 83 (2011).

Reviewer: Jonas Šiaulys (Vilnius)

MSC: 11N60 11L07 11N37

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Šleževičienė, Rasa; Steuding, Jörn

On exponential sums related to the circle problem. II: Short intervals. (English) Zbl 1164.11038

Syta, H. (ed.) et al., Voronoï’s impact on modern science. Book III. Proceedings of the 3rd Voronoï conference on analytic number theory and spatial tessellations. Kyiv: Institute of Mathematics (ISBN 966-02-2571-7; 966-02-3764-2). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Mathematics and its Applications 55, 37-46 (2005).

MSC: 11L07

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Banks, William D.; Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E.

Uniform distribution of the fractional part of the average prime divisor. (English) Zbl 1088.11062

Forum Math. 17, No. 6, 885-901 (2005).

Reviewer: Mongi Naimi (Tunis)

MSC: 11K65 11L07 11N37 11N60

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Mauduit, Christian; Rivat, Joël

\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). (Propriétés \(q\)-multiplicatives de la suite \(\lfloor n^c \rfloor\), \(c>1\).) (French) Zbl 1082.11058

Acta Arith. 118, No. 2, 187-203 (2005).

Reviewer: Sidney W. Graham (Mount Pleasant)

MSC: 11N60 11A63 11L07 11N36

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Boyarinov, R. N.

An additive problem with an increasing number of summands. (English. Russian original) Zbl 1119.11318

Mosc. Univ. Math. Bull. 57, No. 6, 39-40 (2002); translation from Vestn. Mosk. Univ., Ser. I 2002, No. 6, 58-59 (2002).

Reviewer: Ju. N. Krapivnyj (Odessa)

MSC: 11P99 11L99

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Heath-Brown, D. R.

The largest prime factor of \(X^3+2\). (English) Zbl 1023.11048

Proc. Lond. Math. Soc., III. Ser. 82, No. 3, 554-596 (2001).

Reviewer: Sidney W.Graham (Mount Pleasant)

MSC: 11N32 11L07 11N36

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Michel, Philippe

Lower bounds of exponential sums. (Minorations de sommes d’exponentielles.) (French) Zbl 0958.11056

Duke Math. J. 95, No. 2, 227-240 (1998).

Reviewer: Roger Heath-Brown (Oxford)

MSC: 11L03 11T23 11L05

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Grossmann, Nathaniel

Convergent expansions for two common trigonometric sums. (English) Zbl 0912.42004

J. Math. Anal. Appl. 205, No. 2, 577-585 (1997).

Reviewer: D.Leitmann (Garbsen)

MSC: 42A24 42A05 11L03 42A32 42A38

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Tenenbaum, Gérald

Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. (English) Zbl 0831.11001

Cambridge Studies in Advanced Mathematics. 46. Cambridge: Cambridge Univ. Press. xiv, 448 p. (1995).

Reviewer: Wolfgang Schwarz (Frankfurt am Main)

MSC: 11-01 11-02 11Nxx 11Kxx 11Mxx 11Lxx 11N35 11N37 11N56 11A41 11A25 11K65 11L40 11N60 11M06 11M45 11N05 11N13 11L07

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Elliott, P. D. T. A.

On the correlation of multiplicative functions. (English) Zbl 0810.11055

Notas Soc. Mat. Chile 11, No. 1, 1-11 (1992).

Reviewer: Wolfgang Schwarz (Frankfurt / Main)

MSC: 11N37 11K65 11N60

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Martin, C.; Miller, J.; Pearce, K.

Numerical solution of positive sum exponential equations. (English) Zbl 0685.65047

Appl. Math. Comput. 34, No. 2, 89-93 (1989).

Reviewer: Dietrich Braess (Bochum)

MSC: 65H10 11L03 11T23 65D05 41A30

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Fujii, Akio

Zeta zeros and Dirichlet L-functions. II. (English) Zbl 0669.10062

Proc. Japan Acad., Ser. A 64, No. 8, 296-299 (1988).

Reviewer: A.Ivić

MSC: 11M06 11L03 11J71

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Bourgain, J.

On the minimum of a sum of cosines. (Sur le minimum d’une somme de cosinus.) (French) Zbl 0615.42001

Acta Arith. 45, 381-389 (1985).

Reviewer: Borislav Crstici (Timişoara)

MSC: 11L03 42A05 42A32

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Bantle, G.; Grupp, F.

On a problem of Erdős and Szemerédi. (English) Zbl 0578.10057

J. Number Theory 22, 280-288 (1986).

Reviewer: A.Ivić

MSC: 11B83 11L40 11N13

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Bourgain, Jean

On the minimum of certain cosine sums. (Sur le minimum de certaines sommes de cosinus.) (French) Zbl 0553.10029

Publ. Math. Orsay 84-01, Exp. No. 2, 7 p. (1984).

Reviewer: H. N. Mhaskar

MSC: 11L03 42A05 42A32

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Konyagin, S. V.

On the problem of Littlewood. (English) Zbl 0511.42003

Math. USSR, Izv. 18, 205-225 (1982).

MSC: 42A10 11L07 41A10 42A24 42A32

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Konyagin, S. V.

On the problem of Littlewood. (Russian) Zbl 0493.42004

Izv. Akad. Nauk SSSR, Ser. Mat. 45, 243-265 (1981).

MSC: 42A05 42A10 11L07 42A24 42A32 41A10

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Gustafson, Sven-Åke

A computational scheme for exponential approximation. (English) Zbl 0479.65010

Z. Angew. Math. Mech. 61, T284-T287 (1981).

MSC: 65D10 65K10 11L03 41A46

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Kopetzky, Hans Günther; Schwarz, Wolfgang K.; Wirsing, Eduard

Nonnegative sums of roots of unity. (English) Zbl 0414.12003

Arch. Math. 34, 114-121 (1980).

MSC: 11R04 11T23 11L03 30B10 43A35

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Huta, Anton

On exponential interpolation. (English) Zbl 0488.41003

Acta Fac. Rerum Nat. Univ. Comenianae, Math. 35, 157-183 (1979).

MSC: 41A05 41A30 11L03

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Schaback, Robert

On alternation numbers in nonlinear Chebyshev approximation. (English) Zbl 0395.41013

J. Approximation Theory 23, 379-391 (1978).

MSC: 41A50 41A52

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Found 80 Documents (Results 1–80)

On the asymptotic approach to the change-point problem and exponential convergence rate in the ergodic theorem for Markov chains. (English. Russian original) Zbl 1529.60048

On the strong Liouville property of covering spaces. (English) Zbl 07749916

Sublinear circuits and the constrained signomial nonnegativity problem. (English) Zbl 1517.14039

On the order of magnitude of some arithmetical functions under digital constraint. II. (English) Zbl 07831101

The truncated sum of digits function of polynomial sequences. (English) Zbl 1507.11010

Möbius orthogonality of sequences with maximal entropy. (English) Zbl 1510.11128

\(k\)-free numbers and integer parts of \(\alpha p\). (English) Zbl 1489.11141

Trigonometric series with noninteger harmonics. (English) Zbl 1479.42013

On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes. (English) Zbl 1488.11019

On the dynamical system generated by the Möbius transformation at prime times. (English) Zbl 1481.11082

Positive harmonic functions on groups and covering spaces. (English) Zbl 1456.53053

Higher dimensional Dedekind sums and twisted mean values of Dirichlet \(L\)-series. (English) Zbl 1456.11153

Prime numbers in two bases. (English) Zbl 1484.11016

Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic. (English) Zbl 1468.11144

Poissonian pair correlation in higher dimensions. (English) Zbl 1445.11077

Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). (English) Zbl 1446.11210

Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\). (English) Zbl 1453.11161

Disjointness of the Möbius transformation and Möbius function. (English) Zbl 1454.11147

The Rudin-Shapiro sequence and similar sequences are normal along squares. (English) Zbl 1446.11012

Generalized Fourier coefficients of multiplicative functions. (English) Zbl 1444.11201

Application of limit theorem to sum of Legendre symbols. (English) Zbl 1424.11143

Prony’s method in several variables. (English) Zbl 1377.65048

Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions. (Répartition simultanée de \(S(n)\) et \(S(n+1)\) dans les progressions arithmétiques.) (French. English summary) Zbl 1412.11010

Nice error frames, canonical abstract error groups and the construction of SICs. (English) Zbl 1402.81025

On the support of the Kloosterman paths. arXiv:1709.05192

Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions. (English) Zbl 1399.11035

Distribution of completely \(Q\)-additive functions along squares of polynomials over a finite field. (Répartition des fonctions complètement \(Q\)-additives le long des carrés de polynômes sur un corps fini.) (French. English summary) Zbl 1378.11086

On the uniform distribution of certain sequences involving the Euler totient function and the sum of divisors function. (English) Zbl 1389.11109

On quadratic Gauss sums and variations thereof. (English) Zbl 1339.11100

Prime numbers along Rudin-Shapiro sequences. (English) Zbl 1398.11121

Introduction to analytic and probabilistic number theory. Transl. from the 3rd French edition by Patrick D. F. Ion. 3rd expanded ed. (English) Zbl 1336.11001

Subsequences of automatic sequences and uniform distribution. (English) Zbl 1360.11056

Positive exponential sums and odd polynomials. (English) Zbl 1366.11094

Difference sets and positive exponential sums. I: General properties. (English) Zbl 1354.11017

On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) (French. English summary) Zbl 1353.11012

Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series. (English) Zbl 1340.11072

On the Turán-Kubilius inequality. (English) Zbl 1333.11082

de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. (English. Russian original) Zbl 1311.42011

Improved bounds on Sárközy’s theorem for quadratic polynomials. (English) Zbl 1337.11006

Exponential convexity for majorization. (English) Zbl 1277.26018

The zeros of certain Lommel functions. (English) Zbl 1277.33003

On discrete Favard’s and Berwald’s inequalities. (English) Zbl 1263.26008

The sum of digits of Gaussian primes. (English) Zbl 1243.11007

Errata to “Uniform distribution of some ratios involving the number of prime and integer divisors”. (English) Zbl 1313.11106

Properties of matrix exponentials. (Chinese. English summary) Zbl 1249.15014

The sum of digits of \(\lfloor n^c\rfloor\). (English) Zbl 1270.11009

Positive trigonometric sums and starlike functions. (English) Zbl 1233.30010

On van der Corput property of squares. (English) Zbl 1254.11078

Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means. (English) Zbl 1192.15012

Cauchy means involving Chebyshev functional. (English) Zbl 1208.26035

Primes with an average sum of digits. (English) Zbl 1230.11013

Uniform distribution of fractional parts related to pseudoprimes. (English) Zbl 1255.11040

Congruences and exponential sums with the sum of aliquot divisors function. (English) Zbl 1231.11094

The sum of digits of primes in \(\mathbb Z[i]\). (English) Zbl 1190.11053

WITHDRAWN: Convolution and Cross-Correlation of Ramanujan-Fourier Series. arXiv:0805.0284

Distribution of arithmetical functions on some subsets of integers. (English) Zbl 1164.11047

Exponential sums with coefficients 0 or 1 and concentrated \(L^p\) norms. (English) Zbl 1133.42004

Weighted trigonometric sums over a half-period. (English) Zbl 1151.11040

Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. (English. Russian original) Zbl 1329.42003

Uniform distribution theory of some ratios involving the number of prime and integer divisors. (English) Zbl 1147.11057

On exponential sums related to the circle problem. II: Short intervals. (English) Zbl 1164.11038

Uniform distribution of the fractional part of the average prime divisor. (English) Zbl 1088.11062

\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). (Propriétés \(q\)-multiplicatives de la suite \(\lfloor n^c \rfloor\), \(c>1\).) (French) Zbl 1082.11058

An additive problem with an increasing number of summands. (English. Russian original) Zbl 1119.11318

The largest prime factor of \(X^3+2\). (English) Zbl 1023.11048

Lower bounds of exponential sums. (Minorations de sommes d’exponentielles.) (French) Zbl 0958.11056

Convergent expansions for two common trigonometric sums. (English) Zbl 0912.42004

Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. (English) Zbl 0831.11001

On the correlation of multiplicative functions. (English) Zbl 0810.11055

Numerical solution of positive sum exponential equations. (English) Zbl 0685.65047

Zeta zeros and Dirichlet L-functions. II. (English) Zbl 0669.10062

On the minimum of a sum of cosines. (Sur le minimum d’une somme de cosinus.) (French) Zbl 0615.42001

On a problem of Erdős and Szemerédi. (English) Zbl 0578.10057

On the minimum of certain cosine sums. (Sur le minimum de certaines sommes de cosinus.) (French) Zbl 0553.10029

**Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\).** (English) Zbl 1453.11161