Kaur, Amrinder; Sankaranarayanan, Ayyadurai The Selberg-Delange method and mean value of arithmetic functions over short intervals. (English) Zbl 07765127 J. Number Theory 255, 37-61 (2024). MSC: 11N37 PDF BibTeX XML Cite \textit{A. Kaur} and \textit{A. Sankaranarayanan}, J. Number Theory 255, 37--61 (2024; Zbl 07765127) Full Text: DOI arXiv
Ivashkovich, S. Riemann surface of the Riemann zeta function. (English) Zbl 07761710 J. Math. Anal. Appl. 529, No. 2, Article ID 126756, 28 p. (2024). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 30B40 PDF BibTeX XML Cite \textit{S. Ivashkovich}, J. Math. Anal. Appl. 529, No. 2, Article ID 126756, 28 p. (2024; Zbl 07761710) Full Text: DOI arXiv
Yang, Qiyu Large values of \(\zeta (s)\) for \(1/2 < \operatorname{Re}(s) < 1\). (English) Zbl 07748222 J. Number Theory 254, 199-213 (2024). MSC: 11M06 PDF BibTeX XML Cite \textit{Q. Yang}, J. Number Theory 254, 199--213 (2024; Zbl 07748222) Full Text: DOI
Fujita, Takahiko; Yoshida, Naohiro On further application of the zeta distribution to number theory. (English) Zbl 07771759 Res. Number Theory 9, No. 4, Paper No. 81, 12 p. (2023). MSC: 11M06 11N37 60E05 60E07 11K99 PDF BibTeX XML Cite \textit{T. Fujita} and \textit{N. Yoshida}, Res. Number Theory 9, No. 4, Paper No. 81, 12 p. (2023; Zbl 07771759) Full Text: DOI
Bui, Hung M.; Goldston, Daniel A.; Milinovich, Micah B.; Montgomery, Hugh L. Small gaps and small spacings between zeta zeros. (English) Zbl 07771569 Acta Arith. 210, 133-153 (2023). MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{H. M. Bui} et al., Acta Arith. 210, 133--153 (2023; Zbl 07771569) Full Text: DOI arXiv
Frontczak, Robert; Kumari, Munesh; Prasad, Kalika New integrals involving a function associated with Euler-Maclaurin summation formula. (English) Zbl 07771346 Contrib. Math. 7, 11-14 (2023). MSC: 11B68 65B15 PDF BibTeX XML Cite \textit{R. Frontczak} et al., Contrib. Math. 7, 11--14 (2023; Zbl 07771346) Full Text: DOI
Foster, James; Habermann, Karen Brownian bridge expansions for Lévy area approximations and particular values of the Riemann zeta function. (English) Zbl 07770095 Comb. Probab. Comput. 32, No. 3, 370-397 (2023). MSC: 60F05 60H35 60J65 41A10 42A10 11M06 PDF BibTeX XML Cite \textit{J. Foster} and \textit{K. Habermann}, Comb. Probab. Comput. 32, No. 3, 370--397 (2023; Zbl 07770095) Full Text: DOI arXiv OA License
Chorge, Shashank Extreme values of the Riemann zeta function at its critical points in the critical Strip. (English) Zbl 07768667 Acta Arith. 209, 291-318 (2023). MSC: 11M26 PDF BibTeX XML Cite \textit{S. Chorge}, Acta Arith. 209, 291--318 (2023; Zbl 07768667) Full Text: DOI arXiv
Rella, Claudia Resurgence, Stokes constants, and arithmetic functions in topological string theory. (English) Zbl 07764851 Commun. Number Theory Phys. 17, No. 3, 709-820 (2023). MSC: 81T30 81Q10 11M06 14J32 30E15 32Q25 58K65 11A25 30B50 40G10 PDF BibTeX XML Cite \textit{C. Rella}, Commun. Number Theory Phys. 17, No. 3, 709--820 (2023; Zbl 07764851) Full Text: DOI arXiv
Matomäki, Kaisa On primes, almost primes, and the Möbius function in short intervals. (English) Zbl 07763406 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 569-583 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11M06 11N05 11N25 PDF BibTeX XML Cite \textit{K. Matomäki}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 569--583 (2023; Zbl 07763406) Full Text: DOI
Bibi, Amina; Li, Xiao-Min; Yi, Hong-Xun On the difference independence of the Euler gamma function and the Riemann zeta function. (English) Zbl 07762923 Comput. Methods Funct. Theory 23, No. 4, 771-788 (2023). MSC: 30D35 30D30 11M06 39A05 PDF BibTeX XML Cite \textit{A. Bibi} et al., Comput. Methods Funct. Theory 23, No. 4, 771--788 (2023; Zbl 07762923) Full Text: DOI
Cully-Hugill, Michaela Explicit estimates for the distribution of primes. (Abstract of thesis). (English) Zbl 07760900 Bull. Aust. Math. Soc. 108, No. 2, 341-342 (2023). MSC: 11N05 11M06 11M26 11N37 11-02 PDF BibTeX XML Cite \textit{M. Cully-Hugill}, Bull. Aust. Math. Soc. 108, No. 2, 341--342 (2023; Zbl 07760900) Full Text: DOI
Dong, Zikang; Wei, Bin A note on the large values OF \(|\zeta^{(\ell)}(1+it)|\). (English) Zbl 07760886 Bull. Aust. Math. Soc. 108, No. 2, 217-223 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 11N37 PDF BibTeX XML Cite \textit{Z. Dong} and \textit{B. Wei}, Bull. Aust. Math. Soc. 108, No. 2, 217--223 (2023; Zbl 07760886) Full Text: DOI arXiv
Korolev, Maxim; Laurinčikas, Antanas Joint approximation of analytic functions by shifts of the Riemann zeta-function twisted by the Gram function. (English) Zbl 07752873 Carpathian J. Math. 39, No. 1, 175-187 (2023). MSC: 11M06 PDF BibTeX XML Cite \textit{M. Korolev} and \textit{A. Laurinčikas}, Carpathian J. Math. 39, No. 1, 175--187 (2023; Zbl 07752873) Full Text: DOI
Li, C. L.; Chu, W. Four classes of definite integrals about hyperbolic and trigonometric functions. (English) Zbl 07752256 Comput. Math. Math. Phys. 63, No. 7, 1199-1217 (2023). MSC: 33-XX PDF BibTeX XML Cite \textit{C. L. Li} and \textit{W. Chu}, Comput. Math. Math. Phys. 63, No. 7, 1199--1217 (2023; Zbl 07752256) Full Text: DOI
Patkowski, Alexander E. On Davenport expansions, Popov’s formula and Fine’s query. (English) Zbl 07747479 Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 59-65 (2023). MSC: 11L20 11M06 PDF BibTeX XML Cite \textit{A. E. Patkowski}, Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 59--65 (2023; Zbl 07747479) Full Text: arXiv Link
Kiuchi, Isao On a sum involving squarefull numbers. II. (English) Zbl 07743994 Mosc. J. Comb. Number Theory 12, No. 3, 241-246 (2023). MSC: 11A25 11N37 11P99 PDF BibTeX XML Cite \textit{I. Kiuchi}, Mosc. J. Comb. Number Theory 12, No. 3, 241--246 (2023; Zbl 07743994) Full Text: DOI
Miyanishi, Yoshihisa A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann-Poincaré operators. (English) Zbl 07742426 Arch. Math. 121, No. 4, 419-424 (2023). MSC: 47J10 58C40 11M06 PDF BibTeX XML Cite \textit{Y. Miyanishi}, Arch. Math. 121, No. 4, 419--424 (2023; Zbl 07742426) Full Text: DOI
Vaishya, Lalit; Pandey, Manish Kumar Counting square-free integers represented by binary quadratic forms of a fixed discriminant. (English) Zbl 07742423 Arch. Math. 121, No. 4, 385-395 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F11 11M06 11N37 PDF BibTeX XML Cite \textit{L. Vaishya} and \textit{M. K. Pandey}, Arch. Math. 121, No. 4, 385--395 (2023; Zbl 07742423) Full Text: DOI
Andrade, J. C.; Best, C. G. Random matrix theory and moments of moments of \(L\)-functions. (English) Zbl 07742203 Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023). Reviewer: Weiping Li (Guanghan) MSC: 60B20 11M06 11M50 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{C. G. Best}, Random Matrices Theory Appl. 12, No. 3, Article ID 2350002, 23 p. (2023; Zbl 07742203) Full Text: DOI arXiv
Nakamura, Takashi; Suzuki, Masatoshi On infinitely divisible distributions related to the Riemann hypothesis. (English) Zbl 07733993 Stat. Probab. Lett. 201, Article ID 109889, 5 p. (2023). MSC: 11M26 60E07 PDF BibTeX XML Cite \textit{T. Nakamura} and \textit{M. Suzuki}, Stat. Probab. Lett. 201, Article ID 109889, 5 p. (2023; Zbl 07733993) Full Text: DOI arXiv
Bellotti, Chiara; Puglisi, Giuseppe Elementary methods in the study of the Deuring-Heilbronn phenomenon. (English) Zbl 07732770 Acta Arith. 208, No. 3, 257-277 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M20 PDF BibTeX XML Cite \textit{C. Bellotti} and \textit{G. Puglisi}, Acta Arith. 208, No. 3, 257--277 (2023; Zbl 07732770) Full Text: DOI arXiv
Pintz, János Density theorems for Riemann’s zeta-function near the line \(\operatorname{Re} s = 1\). (English) Zbl 07732757 Acta Arith. 208, No. 1, 1-13 (2023). MSC: 11M26 11M06 PDF BibTeX XML Cite \textit{J. Pintz}, Acta Arith. 208, No. 1, 1--13 (2023; Zbl 07732757) Full Text: DOI
Alzer, Horst; Kwong, Man Kam On Sándor’s inequality for the Riemann zeta function. (English) Zbl 07732113 J. Integer Seq. 26, No. 3, Article 23.3.6, 5 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11B83 26D15 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{M. K. Kwong}, J. Integer Seq. 26, No. 3, Article 23.3.6, 5 p. (2023; Zbl 07732113) Full Text: Link
Han, Xue-Feng; Chen, Chao-Ping; Srivastava, Hari M. Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function. (English) Zbl 1521.41009 Rocky Mt. J. Math. 53, No. 3, 775-790 (2023). MSC: 41A60 26A48 33B15 PDF BibTeX XML Cite \textit{X.-F. Han} et al., Rocky Mt. J. Math. 53, No. 3, 775--790 (2023; Zbl 1521.41009) Full Text: DOI Link
Malagutti, Marcello On the spectral zeta function of second order semiregular non-commutative harmonic oscillators. (English) Zbl 07731022 Bull. Sci. Math. 187, Article ID 103286, 29 p. (2023). MSC: 11M41 81Q10 11M35 46L60 46N50 PDF BibTeX XML Cite \textit{M. Malagutti}, Bull. Sci. Math. 187, Article ID 103286, 29 p. (2023; Zbl 07731022) Full Text: DOI arXiv
Yang, Quan; Mehta, Jay; Kanemitsu, Shigeru On Popov’s explicit formula and the Davenport expansion. (English) Zbl 07729542 Czech. Math. J. 73, No. 3, 869-883 (2023). MSC: 11M41 11N05 11J54 PDF BibTeX XML Cite \textit{Q. Yang} et al., Czech. Math. J. 73, No. 3, 869--883 (2023; Zbl 07729542) Full Text: DOI
Connes, Alain; Consani, Caterina Spectral triples and \(\zeta\)-cycles. (English) Zbl 07724321 Enseign. Math. (2) 69, No. 1-2, 93-148 (2023). MSC: 11M55 11M06 46L87 58B34 PDF BibTeX XML Cite \textit{A. Connes} and \textit{C. Consani}, Enseign. Math. (2) 69, No. 1--2, 93--148 (2023; Zbl 07724321) Full Text: DOI arXiv
Goldston, Daniel A.; Trudgian, Timothy S.; Turnage-Butterbaugh, Caroline L. On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function. (English) Zbl 07723328 J. Math. Anal. Appl. 527, No. 2, Article ID 127548, 7 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M26 11M06 11M20 11R29 11R42 PDF BibTeX XML Cite \textit{D. A. Goldston} et al., J. Math. Anal. Appl. 527, No. 2, Article ID 127548, 7 p. (2023; Zbl 07723328) Full Text: DOI arXiv
Johnston, Daniel R.; Yang, Andrew Some explicit estimates for the error term in the prime number theorem. (English) Zbl 07723314 J. Math. Anal. Appl. 527, No. 2, Article ID 127460, 23 p. (2023). MSC: 11N05 11M06 11M26 11Y35 11N37 PDF BibTeX XML Cite \textit{D. R. Johnston} and \textit{A. Yang}, J. Math. Anal. Appl. 527, No. 2, Article ID 127460, 23 p. (2023; Zbl 07723314) Full Text: DOI arXiv
Belovas, I. An inequality for the Riemann zeta function. (English) Zbl 07722712 Acta Math. Hung. 170, No. 1, 367-378 (2023). MSC: 11M06 30A10 33B15 PDF BibTeX XML Cite \textit{I. Belovas}, Acta Math. Hung. 170, No. 1, 367--378 (2023; Zbl 07722712) Full Text: DOI
Tam, D. D. On the distribution of zeros of linear combinations of Dirichlet \(L\)-functions on the critical line. (English) Zbl 07722699 Acta Math. Hung. 170, No. 1, 110-149 (2023). MSC: 11M26 PDF BibTeX XML Cite \textit{D. D. Tam}, Acta Math. Hung. 170, No. 1, 110--149 (2023; Zbl 07722699) Full Text: DOI
Suzuki, Masatoshi Li coefficients as norms of functions in a model space. (English) Zbl 07722269 J. Number Theory 252, 177-194 (2023). MSC: 11M26 11M36 46E22 PDF BibTeX XML Cite \textit{M. Suzuki}, J. Number Theory 252, 177--194 (2023; Zbl 07722269) Full Text: DOI arXiv
Lee, Junghun The Riemann zeta function on arithmetic progressions and denseness properties. (English) Zbl 07722179 Eur. J. Math. 9, No. 3, Paper No. 69, 12 p. (2023). MSC: 11M06 30K10 PDF BibTeX XML Cite \textit{J. Lee}, Eur. J. Math. 9, No. 3, Paper No. 69, 12 p. (2023; Zbl 07722179) Full Text: DOI
Khurana, Suraj Singh On irrationality criteria for the Ramanujan summation of certain series. (English) Zbl 07720853 Int. J. Number Theory 19, No. 7, 1571-1587 (2023). MSC: 11M06 11J72 33C90 40G99 PDF BibTeX XML Cite \textit{S. S. Khurana}, Int. J. Number Theory 19, No. 7, 1571--1587 (2023; Zbl 07720853) Full Text: DOI
Lü, Feng; Jiang, Shuxin On the algebraic differential independence of \(\Gamma\) and \(\zeta\). (English) Zbl 07720081 Monatsh. Math. 202, No. 1, 141-159 (2023). MSC: 33-XX 34M15 11M06 33B15 30D30 PDF BibTeX XML Cite \textit{F. Lü} and \textit{S. Jiang}, Monatsh. Math. 202, No. 1, 141--159 (2023; Zbl 07720081) Full Text: DOI
Deng, Wenli; Wang, Jinglong The Euler-Riemann \(\zeta\) function and the estimation of the power-law exponent. (English) Zbl 07715800 Physica A 624, Article ID 128940, 10 p. (2023). MSC: 82-XX 62B05 62F10 62F25 62P99 PDF BibTeX XML Cite \textit{W. Deng} and \textit{J. Wang}, Physica A 624, Article ID 128940, 10 p. (2023; Zbl 07715800) Full Text: DOI
Chu, Wenchang Trigonometric sums and Riemann zeta function. (English) Zbl 1515.11077 Math. Slovaca 73, No. 3, 595-612 (2023). MSC: 11L03 11M06 33B10 PDF BibTeX XML Cite \textit{W. Chu}, Math. Slovaca 73, No. 3, 595--612 (2023; Zbl 1515.11077) Full Text: DOI
Han, Xue-Feng; Chen, Chao-Ping; Srivastava, Hari M. Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants. (English) Zbl 07710596 Appl. Anal. Discrete Math. 17, No. 1, 159-178 (2023). MSC: 41A60 11M06 40A05 PDF BibTeX XML Cite \textit{X.-F. Han} et al., Appl. Anal. Discrete Math. 17, No. 1, 159--178 (2023; Zbl 07710596) Full Text: DOI
Mitov, Kosto; Nadarajah, Saralees Entropy of some discrete distributions. (English) Zbl 1515.94035 Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 2, 19 p. (2023). MSC: 94A17 60E05 PDF BibTeX XML Cite \textit{K. Mitov} and \textit{S. Nadarajah}, Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 2, 19 p. (2023; Zbl 1515.94035) Full Text: DOI
Garbaliauskienė, Virginija; Macaitienė, Renata; Šiaučiūnas, Darius On the functional independence of the Riemann zeta-function. (English) Zbl 07706397 Math. Model. Anal. 28, No. 2, 352-359 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 PDF BibTeX XML Cite \textit{V. Garbaliauskienė} et al., Math. Model. Anal. 28, No. 2, 352--359 (2023; Zbl 07706397) Full Text: DOI
Cully-Hugill, Michaela; Johnston, Daniel R. On the error term in the explicit formula of Riemann-von Mangoldt. (English) Zbl 07704099 Int. J. Number Theory 19, No. 6, 1205-1228 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N05 11M26 11Y70 PDF BibTeX XML Cite \textit{M. Cully-Hugill} and \textit{D. R. Johnston}, Int. J. Number Theory 19, No. 6, 1205--1228 (2023; Zbl 07704099) Full Text: DOI arXiv
Tričković, Slobodan B.; Stanković, Miomir S. On the closed form of Clausen functions. (English) Zbl 07702675 Integral Transforms Spec. Funct. 34, No. 6, 469-477 (2023). MSC: 33-XX 11M41 33B15 PDF BibTeX XML Cite \textit{S. B. Tričković} and \textit{M. S. Stanković}, Integral Transforms Spec. Funct. 34, No. 6, 469--477 (2023; Zbl 07702675) Full Text: DOI
Suman, Shekhar; Das, Raman Kumar A note on series equivalent of the Riemann hypothesis. (English) Zbl 07699546 Indian J. Pure Appl. Math. 54, No. 1, 117-119 (2023). MSC: 11M26 11M06 11-02 11-03 11N05 PDF BibTeX XML Cite \textit{S. Suman} and \textit{R. K. Das}, Indian J. Pure Appl. Math. 54, No. 1, 117--119 (2023; Zbl 07699546) Full Text: DOI
Garg, Meghali; Maji, Bibekananda Hardy-Littlewood-Riesz type equivalent criteria for the generalized Riemann hypothesis. (English) Zbl 07694423 Monatsh. Math. 201, No. 3, 771-788 (2023). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{M. Garg} and \textit{B. Maji}, Monatsh. Math. 201, No. 3, 771--788 (2023; Zbl 07694423) Full Text: DOI arXiv
Pongsriiam, Prapanpong Analytic number theory for beginners. 2nd edition. (English) Zbl 07692715 Student Mathematical Library 103. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6444-8/pbk; 978-1-4704-7357-0/ebook). xxiii, 375 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 97F60 PDF BibTeX XML Cite \textit{P. Pongsriiam}, Analytic number theory for beginners. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07692715) Full Text: DOI
Chong, Carsten; Dalang, Robert C. Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs. (English) Zbl 07691562 Bernoulli 29, No. 3, 1792-1820 (2023). MSC: 60H15 60H05 60K35 PDF BibTeX XML Cite \textit{C. Chong} and \textit{R. C. Dalang}, Bernoulli 29, No. 3, 1792--1820 (2023; Zbl 07691562) Full Text: DOI arXiv Link
Nakamura, Takashi On zeros of bilateral Hurwitz and periodic zeta and zeta star functions. (English) Zbl 07690305 Rocky Mt. J. Math. 53, No. 1, 157-176 (2023). MSC: 11M35 11M20 11M26 PDF BibTeX XML Cite \textit{T. Nakamura}, Rocky Mt. J. Math. 53, No. 1, 157--176 (2023; Zbl 07690305) Full Text: DOI arXiv Link
Broucke, Frederik; Debruyne, Gregory On zero-density estimates and the PNT in short intervals for Beurling generalized numbers. (English) Zbl 07690064 Acta Arith. 207, No. 4, 365-391 (2023). Reviewer: S. Drappeau (Marseille) MSC: 11M26 11M41 11N05 11N80 PDF BibTeX XML Cite \textit{F. Broucke} and \textit{G. Debruyne}, Acta Arith. 207, No. 4, 365--391 (2023; Zbl 07690064) Full Text: DOI arXiv
Matsumoto, Kohji; Tsumura, Hirofumi Double Dirichlet series associated with arithmetic functions. II. (English) Zbl 07684576 Kodai Math. J. 46, No. 1, 10-30 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M41 11M06 11M26 PDF BibTeX XML Cite \textit{K. Matsumoto} and \textit{H. Tsumura}, Kodai Math. J. 46, No. 1, 10--30 (2023; Zbl 07684576) Full Text: DOI arXiv
Hu, Pei-Chu; Li, Bao Qin A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond. (English) Zbl 07683778 Acta Arith. 207, No. 2, 183-200 (2023). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11M06 30D30 PDF BibTeX XML Cite \textit{P.-C. Hu} and \textit{B. Q. Li}, Acta Arith. 207, No. 2, 183--200 (2023; Zbl 07683778) Full Text: DOI
Masjed-Jamei, Mohammad A generic inequality for basic special functions. (English) Zbl 07683295 Integral Transforms Spec. Funct. 34, No. 5, 384-398 (2023). MSC: 26D15 26D20 33C05 33B15 33B20 PDF BibTeX XML Cite \textit{M. Masjed-Jamei}, Integral Transforms Spec. Funct. 34, No. 5, 384--398 (2023; Zbl 07683295) Full Text: DOI
Goldston, Daniel A.; Suriajaya, Ade Irma On an average Goldbach representation formula of Fujii. (English) Zbl 07681890 Nagoya Math. J. 250, 511-532 (2023). Reviewer: Maurizio Laporta (Napoli) MSC: 11M26 11N05 11N37 11P32 PDF BibTeX XML Cite \textit{D. A. Goldston} and \textit{A. I. Suriajaya}, Nagoya Math. J. 250, 511--532 (2023; Zbl 07681890) Full Text: DOI arXiv
Chandola, Ankita; Pandey, Rupakshi Mishra; Nisar, Kottakkaran Sooppy On the new bicomplex generalization of Hurwitz-Lerch zeta function with properties and applications. (English) Zbl 1509.11085 Analysis, München 43, No. 2, 71-88 (2023). MSC: 11M35 33E99 PDF BibTeX XML Cite \textit{A. Chandola} et al., Analysis, München 43, No. 2, 71--88 (2023; Zbl 1509.11085) Full Text: DOI
Sahay, Anurag Moments of the Hurwitz zeta function on the critical line. (English) Zbl 1520.11080 Math. Proc. Camb. Philos. Soc. 174, No. 3, 631-661 (2023). Reviewer: Yilmaz Simsek (Antalya) MSC: 11M35 11M06 PDF BibTeX XML Cite \textit{A. Sahay}, Math. Proc. Camb. Philos. Soc. 174, No. 3, 631--661 (2023; Zbl 1520.11080) Full Text: DOI arXiv
Connes, Alain; Consani, Caterina Hochschild homology, trace map and \(\zeta\)-cycles. (English) Zbl 1520.11082 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 83-101 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 11M55 11M06 16E40 11F72 58B34 PDF BibTeX XML Cite \textit{A. Connes} and \textit{C. Consani}, Proc. Symp. Pure Math. 105, 83--101 (2023; Zbl 1520.11082) Full Text: DOI arXiv
Johnston, Daniel R. On the average value of \(\pi (t)-\operatorname{li}(t)\). (English) Zbl 07664400 Can. Math. Bull. 66, No. 1, 185-195 (2023). Reviewer: Michael Th. Rassias (Zürich) MSC: 11M26 11N05 PDF BibTeX XML Cite \textit{D. R. Johnston}, Can. Math. Bull. 66, No. 1, 185--195 (2023; Zbl 07664400) Full Text: DOI arXiv
Chourasiya, Shashi; Jamal, Md Kashif; Maji, Bibekananda A new Ramanujan-type identity for \(L(2k+1, \chi_1)\). (English) Zbl 1517.11104 Ramanujan J. 60, No. 3, 729-750 (2023). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 26C10 PDF BibTeX XML Cite \textit{S. Chourasiya} et al., Ramanujan J. 60, No. 3, 729--750 (2023; Zbl 1517.11104) Full Text: DOI arXiv
Heap, Winston On the splitting conjecture in the hybrid model for the Riemann zeta function. (English) Zbl 07662769 Forum Math. 35, No. 2, 329-362 (2023). Reviewer: Hirotaka Akatsuka (Otaru) MSC: 11M06 PDF BibTeX XML Cite \textit{W. Heap}, Forum Math. 35, No. 2, 329--362 (2023; Zbl 07662769) Full Text: DOI arXiv
Cully-Hugill, Michaela Primes between consecutive powers. (English) Zbl 1520.11083 J. Number Theory 247, 100-117 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N05 11M06 11Y35 PDF BibTeX XML Cite \textit{M. Cully-Hugill}, J. Number Theory 247, 100--117 (2023; Zbl 1520.11083) Full Text: DOI arXiv
Griffin, Michael; South, Daniel Jensen polynomials for holomorphic functions. (English) Zbl 07661271 Int. J. Number Theory 19, No. 4, 733-745 (2023). MSC: 33-XX 33C45 11B83 11M06 30B10 PDF BibTeX XML Cite \textit{M. Griffin} and \textit{D. South}, Int. J. Number Theory 19, No. 4, 733--745 (2023; Zbl 07661271) Full Text: DOI
Dilcher, Karl; Vignat, Christophe On a result of Koecher concerning Markov-Apéry-type formulas for the Riemann zeta function. (English) Zbl 07661270 Int. J. Number Theory 19, No. 4, 709-731 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 11M32 33C05 PDF BibTeX XML Cite \textit{K. Dilcher} and \textit{C. Vignat}, Int. J. Number Theory 19, No. 4, 709--731 (2023; Zbl 07661270) Full Text: DOI arXiv
Chatterjee, Tapas; Garg, Sonam On \(q\)-analogue of Euler-Stieltjes constants. (English) Zbl 07660710 Proc. Am. Math. Soc. 151, No. 5, 2011-2022 (2023). MSC: 33D05 11J81 11J72 11M06 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Garg}, Proc. Am. Math. Soc. 151, No. 5, 2011--2022 (2023; Zbl 07660710) Full Text: DOI
Rahm, Rob Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function. (English) Zbl 1510.35124 Concr. Oper. 10, Article ID conop-2022-0139, 8 p. (2023). MSC: 35J10 35P20 11E45 PDF BibTeX XML Cite \textit{R. Rahm}, Concr. Oper. 10, Article ID conop-2022--0139, 8 p. (2023; Zbl 1510.35124) Full Text: DOI arXiv
Banks, William Towards the generalized Riemann hypothesis using only zeros of the Riemann zeta function. (English) Zbl 1520.11076 Res. Number Theory 9, No. 1, Paper No. 19, 12 p. (2023). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M06 11M26 11M20 PDF BibTeX XML Cite \textit{W. Banks}, Res. Number Theory 9, No. 1, Paper No. 19, 12 p. (2023; Zbl 1520.11076) Full Text: DOI arXiv
Walker, Aled Correlations of sieve weights and distributions of zeros. (English) Zbl 1515.11081 Int. J. Number Theory 19, No. 1, 139-167 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11L20 11M50 PDF BibTeX XML Cite \textit{A. Walker}, Int. J. Number Theory 19, No. 1, 139--167 (2023; Zbl 1515.11081) Full Text: DOI arXiv
Inoue, Shōta; Kiuchi, Isao On sums of gcd-sum functions. (English) Zbl 1512.11006 Int. J. Number Theory 19, No. 3, 593-619 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11A25 11N37 11P99 PDF BibTeX XML Cite \textit{S. Inoue} and \textit{I. Kiuchi}, Int. J. Number Theory 19, No. 3, 593--619 (2023; Zbl 1512.11006) Full Text: DOI
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha An asymptotic expansion for a Lambert series associated to the symmetric square \(L\)-function. (English) Zbl 1519.11046 Int. J. Number Theory 19, No. 3, 553-567 (2023). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{A. Juyal} et al., Int. J. Number Theory 19, No. 3, 553--567 (2023; Zbl 1519.11046) Full Text: DOI arXiv
Alouges, François; Darses, Sébastien; Hillion, Erwan Polynomial approximations in a generalized Nyman-Beurling criterion. (English. French summary) Zbl 07654302 J. Théor. Nombres Bordx. 34, No. 3, 767-785 (2023). MSC: 41A30 46E20 60E05 11M26 PDF BibTeX XML Cite \textit{F. Alouges} et al., J. Théor. Nombres Bordx. 34, No. 3, 767--785 (2023; Zbl 07654302) Full Text: DOI arXiv
Noda, Takumi The exponential-type generating function of the Riemann zeta-function revisited. (English) Zbl 1517.11120 Ramanujan J. 60, No. 1, 1-11 (2023). Reviewer: Michael Th. Rassias (Zürich) MSC: 11M41 11F11 PDF BibTeX XML Cite \textit{T. Noda}, Ramanujan J. 60, No. 1, 1--11 (2023; Zbl 1517.11120) Full Text: DOI
Meiners, Alexander; Vertman, Boris Spectral zeta function on discrete tori and Epstein-Riemann hypothesis. (English) Zbl 1517.11028 J. Number Theory 244, 418-461 (2023). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11E45 52C05 58J52 11M41 65B15 PDF BibTeX XML Cite \textit{A. Meiners} and \textit{B. Vertman}, J. Number Theory 244, 418--461 (2023; Zbl 1517.11028) Full Text: DOI arXiv
Simonič, Aleksander; Starichkova, Valeriia V. Atkinson’s formula for the mean square of \(\zeta (s)\) with an explicit error term. (English) Zbl 1509.11081 J. Number Theory 244, 111-168 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11M06 11N37 11Y35 PDF BibTeX XML Cite \textit{A. Simonič} and \textit{V. V. Starichkova}, J. Number Theory 244, 111--168 (2023; Zbl 1509.11081) Full Text: DOI arXiv
O’Sullivan, Cormac A generalization of the Riemann-Siegel formula. (English) Zbl 1517.11110 Math. Z. 303, No. 1, Paper No. 20, 44 p. (2023). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M06 PDF BibTeX XML Cite \textit{C. O'Sullivan}, Math. Z. 303, No. 1, Paper No. 20, 44 p. (2023; Zbl 1517.11110) Full Text: DOI arXiv
Bringmann, Kathrin; Kane, Ben Generalized \(L\)-functions for meromorphic modular forms and their relation to the Riemann zeta function. (English) Zbl 1511.11046 J. Math. Anal. Appl. 517, No. 2, Article ID 126623, 17 p. (2023). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F37 11M06 PDF BibTeX XML Cite \textit{K. Bringmann} and \textit{B. Kane}, J. Math. Anal. Appl. 517, No. 2, Article ID 126623, 17 p. (2023; Zbl 1511.11046) Full Text: DOI arXiv
Elaissaoui, Lahoucine On expansions involving the Riemann zeta function and its derivatives. (English) Zbl 1495.11101 J. Math. Anal. Appl. 517, No. 1, Article ID 126569, 21 p. (2023). MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{L. Elaissaoui}, J. Math. Anal. Appl. 517, No. 1, Article ID 126569, 21 p. (2023; Zbl 1495.11101) Full Text: DOI arXiv
Yang, Daodao Extreme values of derivatives of the Riemann zeta function. (English) Zbl 07738304 Mathematika 68, No. 2, 486-510 (2022). MSC: 11M06 PDF BibTeX XML Cite \textit{D. Yang}, Mathematika 68, No. 2, 486--510 (2022; Zbl 07738304) Full Text: DOI arXiv OA License
Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich Entropy for some monoids of natural numbers. (Russian. English summary) Zbl 07735528 Chebyshevskiĭ Sb. 23, No. 5(86), 57-71 (2022). MSC: 11N80 20M13 28D20 PDF BibTeX XML Cite \textit{N. N. Dobrovol'skiĭ} et al., Chebyshevskiĭ Sb. 23, No. 5(86), 57--71 (2022; Zbl 07735528) Full Text: DOI MNR
Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich The inverse problem for a basic monoid of type \(q\). (Russian. English summary) Zbl 07734454 Chebyshevskiĭ Sb. 23, No. 4(85), 64-76 (2022). MSC: 11N80 11M06 PDF BibTeX XML Cite \textit{N. N. Dobrovol'skiĭ} et al., Chebyshevskiĭ Sb. 23, No. 4(85), 64--76 (2022; Zbl 07734454) Full Text: DOI MNR
Matiyasevich, Yu. V. Asymptotic structure of eigenvalues and eigenvectors of certain triangular Hankel matrices. (English. Russian original) Zbl 1517.11109 Dokl. Math. 106, Part Suppl. 2, S250-S255 (2022); translation from Chebyshevskiĭ Sb. 21, No. 1(73), 238-251 (2020). MSC: 11M06 11M26 15A18 15B05 PDF BibTeX XML Cite \textit{Yu. V. Matiyasevich}, Dokl. Math. 106, Part Suppl. 2, S250--S255 (2022; Zbl 1517.11109); translation from Chebyshevskiĭ Sb. 21, No. 1(73), 238--251 (2020) Full Text: DOI
Dobrovol’skii, N. N. A model zeta function of the monoid of natural numbers. (English. Russian original) Zbl 1517.11105 Dokl. Math. 106, Part Suppl. 2, S192-S200 (2022); translation from Chebyshevskiĭ Sb. 20, No. 1(69), 148-163 (2019); erratum Dokl. Math. 107, No. 2, 142 (2023). MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{N. N. Dobrovol'skii}, Dokl. Math. 106, Part Suppl. 2, S192--S200 (2022; Zbl 1517.11105); translation from Chebyshevskiĭ Sb. 20, No. 1(69), 148--163 (2019); erratum Dokl. Math. 107, No. 2, 142 (2019) Full Text: DOI
Dobrovol’skii, N. N.; Rebrova, I. Yu.; Dobrovol’skii, N. M. Inverse problem for a monoid with an exponential sequence of primes. (English. Russian original) Zbl 1517.11106 Dokl. Math. 106, Part Suppl. 2, S181-S191 (2022); translation from Chebyshevskiĭ Sb. 21, No. 1(73), 165-185 (2020). MSC: 11M06 11M41 11N05 PDF BibTeX XML Cite \textit{N. N. Dobrovol'skii} et al., Dokl. Math. 106, Part Suppl. 2, S181--S191 (2022; Zbl 1517.11106); translation from Chebyshevskiĭ Sb. 21, No. 1(73), 165--185 (2020) Full Text: DOI
Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhail Nikolaevich; Chubarikov, Vladimir Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich Generalized Dirichlet problem for a two-dimensional lattice of Dirichlet approximations. (Russian. English summary) Zbl 1517.11117 Chebyshevskiĭ Sb. 23, No. 1(82), 83-105 (2022). MSC: 11M35 11J04 PDF BibTeX XML Cite \textit{N. N. Dobrovol'skiĭ} et al., Chebyshevskiĭ Sb. 23, No. 1(82), 83--105 (2022; Zbl 1517.11117) Full Text: DOI MNR
Matiyasevich, Yuri On some algebraic ways to calculate zeros of the Riemann zeta function. (English) Zbl 07719128 Poulakis, Dimitrios (ed.) et al., Algebraic informatics. 9th international conference, CAI 2022, virtual event, October 27–29, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13706, 15-25 (2022). MSC: 68Qxx PDF BibTeX XML Cite \textit{Y. Matiyasevich}, Lect. Notes Comput. Sci. 13706, 15--25 (2022; Zbl 07719128) Full Text: DOI
Suman, Shekhar; Das, Raman Kumar A note on an equivalent of the Riemann hypothesis. (English) Zbl 1515.11082 J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 97-102 (2022). MSC: 11M26 11M06 11M32 PDF BibTeX XML Cite \textit{S. Suman} and \textit{R. K. Das}, J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 97--102 (2022; Zbl 1515.11082) Full Text: DOI Link
Mali, Petar; Rutonjski, Milica; Radošević, Slobodan; Pantić, Milan; Pavkov-Hrvojević, Milica Using quantum mechanics for calculation of different infinite sums. (English) Zbl 07669320 Eur. J. Phys. 43, No. 3, Article ID 035405, 10 p. (2022). MSC: 81Q80 11R59 PDF BibTeX XML Cite \textit{P. Mali} et al., Eur. J. Phys. 43, No. 3, Article ID 035405, 10 p. (2022; Zbl 07669320) Full Text: DOI arXiv
Hidan, Muajebah; Akel, Mohamed; Abd-Elmageed, Hala; Abdalla, Mohamed Some matrix families of the Hurwitz-Lerch \(\zeta\)-functions and associated fractional kinetic equations. (English) Zbl 07659591 Fractals 30, No. 10, Article ID 2240199, 12 p. (2022). MSC: 33Cxx 11Mxx 33Bxx PDF BibTeX XML Cite \textit{M. Hidan} et al., Fractals 30, No. 10, Article ID 2240199, 12 p. (2022; Zbl 07659591) Full Text: DOI
Schleich, W. P.; Tkáčová, I.; Maier, H. On the geometry of the Titchmarsh counterexample. (English) Zbl 1519.11047 J. Phys. A, Math. Theor. 55, No. 48, Article ID 484006, 15 p. (2022). MSC: 11M26 30C15 33E05 PDF BibTeX XML Cite \textit{W. P. Schleich} et al., J. Phys. A, Math. Theor. 55, No. 48, Article ID 484006, 15 p. (2022; Zbl 1519.11047) Full Text: DOI
Konyagin, S. V.; Korolev, M. A. On Titchmarsh’s phenomenon in the theory of the Riemann zeta function. (English. Russian original) Zbl 1520.11078 Proc. Steklov Inst. Math. 319, 169-188 (2022); translation from Tr. Mat. Inst. Steklova 319, 182-201 (2022). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11M06 PDF BibTeX XML Cite \textit{S. V. Konyagin} and \textit{M. A. Korolev}, Proc. Steklov Inst. Math. 319, 169--188 (2022; Zbl 1520.11078); translation from Tr. Mat. Inst. Steklova 319, 182--201 (2022) Full Text: DOI
Boyadzhiev, Khristo N. Several classical identities via Mellin’s transform. (English) Zbl 1513.30011 Math. Montisnigri 55, 5-11 (2022). MSC: 30B10 11M06 11M41 33B15 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev}, Math. Montisnigri 55, 5--11 (2022; Zbl 1513.30011) Full Text: DOI arXiv
Mirzoev, K. A.; Safonova, T. A. Values of the Riemann zeta function and the Dirichlet beta function at positive integer points and multiple numerical series. (English. Russian original) Zbl 1508.11086 Math. Notes 112, No. 6, 1071-1076 (2022); translation from Mat. Zametki 112, No. 6, 947-952 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{K. A. Mirzoev} and \textit{T. A. Safonova}, Math. Notes 112, No. 6, 1071--1076 (2022; Zbl 1508.11086); translation from Mat. Zametki 112, No. 6, 947--952 (2022) Full Text: DOI
Banks, William D. On the distribution of reduced fractions with squarefree denominators. (English) Zbl 1516.11082 Acta Arith. 206, No. 1, 1-34 (2022). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M26 11B57 11N56 PDF BibTeX XML Cite \textit{W. D. Banks}, Acta Arith. 206, No. 1, 1--34 (2022; Zbl 1516.11082) Full Text: DOI
Boyadzhiev, Khristo N.; Manns, Steven On a series of Ramanujan, dilogarithm values, and solitons. (English) Zbl 1508.11092 Involve 15, No. 3, 411-425 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M41 33B30 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev} and \textit{S. Manns}, Involve 15, No. 3, 411--425 (2022; Zbl 1508.11092) Full Text: DOI arXiv
Kiuchi, Isao On a sum involving squarefull numbers. (English) Zbl 1508.11097 Rocky Mt. J. Math. 52, No. 5, 1713-1718 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{I. Kiuchi}, Rocky Mt. J. Math. 52, No. 5, 1713--1718 (2022; Zbl 1508.11097) Full Text: DOI Link
Gröchenig, Karlheinz Totally positive functions in sampling theory and time-frequency analysis. (English) Zbl 1504.42020 Cerejeiras, Paula (ed.) et al., Mathematical analysis, its applications and computation. ISAAC 2019. Selected papers based on the presentations at the 12th international congress, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 385, 51-73 (2022). MSC: 42A82 42C15 62D05 46B15 11M06 PDF BibTeX XML Cite \textit{K. Gröchenig}, Springer Proc. Math. Stat. 385, 51--73 (2022; Zbl 1504.42020) Full Text: DOI
Ohkubo, Yukio; Strauch, Oto Distribution of leading digits of imaginary parts of Riemann zeta zeros. (English) Zbl 1509.11069 Unif. Distrib. Theory 17, No. 2, 161-164 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11K06 11K31 11K38 PDF BibTeX XML Cite \textit{Y. Ohkubo} and \textit{O. Strauch}, Unif. Distrib. Theory 17, No. 2, 161--164 (2022; Zbl 1509.11069) Full Text: DOI
Sofo, Anthony Families of specialized Euler sums. (English) Zbl 1513.11153 DML, Discrete Math. Lett. 10, 68-74 (2022). MSC: 11M06 11M35 26B15 33B15 42A70 PDF BibTeX XML Cite \textit{A. Sofo}, DML, Discrete Math. Lett. 10, 68--74 (2022; Zbl 1513.11153) Full Text: DOI
Campbell, John M. A Wilf-Zeilberger-based solution to the Basel problem with applications. (English) Zbl 1513.33060 DML, Discrete Math. Lett. 10, 21-27 (2022). MSC: 33F10 11Y60 PDF BibTeX XML Cite \textit{J. M. Campbell}, DML, Discrete Math. Lett. 10, 21--27 (2022; Zbl 1513.33060) Full Text: DOI
Xi, Gaowen On a new reverse Hilbert’s type inequality. (English) Zbl 1499.26201 Iran. J. Math. Sci. Inform. 17, No. 2, 87-95 (2022). MSC: 26D15 PDF BibTeX XML Cite \textit{G. Xi}, Iran. J. Math. Sci. Inform. 17, No. 2, 87--95 (2022; Zbl 1499.26201) Full Text: DOI
Wei, Fei; Wu, Dongsheng A characterization of the zero-free region of the Riemann zeta function and its applications. (English) Zbl 1503.30123 Expo. Math. 40, No. 4, 961-993 (2022). MSC: 30H10 11M26 PDF BibTeX XML Cite \textit{F. Wei} and \textit{D. Wu}, Expo. Math. 40, No. 4, 961--993 (2022; Zbl 1503.30123) Full Text: DOI
Laurinčikas, Antanas Joint discrete universality for periodic zeta-functions. IV. (English) Zbl 1511.11077 Quaest. Math. 45, No. 11, 1743-1757 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M41 11M26 PDF BibTeX XML Cite \textit{A. Laurinčikas}, Quaest. Math. 45, No. 11, 1743--1757 (2022; Zbl 1511.11077) Full Text: DOI