Lee, Ethan Simpson Explicit Mertens’ theorems for number fields. (Abstract of thesis). (English) Zbl 07734867 Bull. Aust. Math. Soc. 108, No. 1, 169-172 (2023). MSC: 11Y35 11N32 11R44 PDF BibTeX XML Cite \textit{E. S. Lee}, Bull. Aust. Math. Soc. 108, No. 1, 169--172 (2023; Zbl 07734867) Full Text: DOI
Dağlı, Muhammet Cihat New identities involving certain Hardy sums and two-term exponential sums. (English) Zbl 1517.11102 Indian J. Pure Appl. Math. 54, No. 3, 841-847 (2023). MSC: 11L40 11F20 11M06 PDF BibTeX XML Cite \textit{M. C. Dağlı}, Indian J. Pure Appl. Math. 54, No. 3, 841--847 (2023; Zbl 1517.11102) Full Text: DOI
Yathirajsharma, M. V. On certain \(q\)-trigonometric identities analogous to that of Gosper’s. (English) Zbl 07725159 Rocky Mt. J. Math. 53, No. 2, 629-646 (2023). MSC: 11F20 11M36 14K25 PDF BibTeX XML Cite \textit{M. V. Yathirajsharma}, Rocky Mt. J. Math. 53, No. 2, 629--646 (2023; Zbl 07725159) Full Text: DOI Link
Chaubey, Sneha; Goel, Shivani On the distribution of Ramanujan sums over number fields. (English) Zbl 07713332 Ramanujan J. 61, No. 3, 813-837 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11N37 11R42 PDF BibTeX XML Cite \textit{S. Chaubey} and \textit{S. Goel}, Ramanujan J. 61, No. 3, 813--837 (2023; Zbl 07713332) Full Text: DOI arXiv
Mahapatra, Nimish Kumar; Pandey, Prem Prakash; Ram, Mahesh Kumar Fields of small class number in the family \(\mathbb{Q}(\sqrt{9m^2+4m})\). (English) Zbl 1515.11109 Ramanujan J. 61, No. 3, 779-798 (2023). MSC: 11R11 11R29 11F20 PDF BibTeX XML Cite \textit{N. K. Mahapatra} et al., Ramanujan J. 61, No. 3, 779--798 (2023; Zbl 1515.11109) Full Text: DOI arXiv
Kida, Masanari Arithmetically equivalent fields in a Galois extension with Frobenius Galois group of 2-power degree. (English) Zbl 07689463 Can. Math. Bull. 66, No. 2, 380-394 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 12F12 PDF BibTeX XML Cite \textit{M. Kida}, Can. Math. Bull. 66, No. 2, 380--394 (2023; Zbl 07689463) Full Text: DOI
Thorner, Jesse; Zaman, Asif A zero density estimate for Dedekind zeta functions. (English) Zbl 07676538 Int. Math. Res. Not. 2023, No. 8, 6739-6761 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11N35 11R29 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Int. Math. Res. Not. 2023, No. 8, 6739--6761 (2023; Zbl 07676538) Full Text: DOI arXiv
Radchenko, Danylo; Zagier, Don Arithmetic properties of the Herglotz function. (English) Zbl 07669621 J. Reine Angew. Math. 797, 229-253 (2023). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M41 11F67 11F20 11F25 11R11 PDF BibTeX XML Cite \textit{D. Radchenko} and \textit{D. Zagier}, J. Reine Angew. Math. 797, 229--253 (2023; Zbl 07669621) Full Text: DOI arXiv
Lee, Ethan S. On the number of integral ideals in a number field. (English) Zbl 1502.11116 J. Math. Anal. Appl. 517, No. 1, Article ID 126585, 25 p. (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11R42 11R47 11R44 PDF BibTeX XML Cite \textit{E. S. Lee}, J. Math. Anal. Appl. 517, No. 1, Article ID 126585, 25 p. (2023; Zbl 1502.11116) Full Text: DOI arXiv
Dağli, M. C. Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum. (English) Zbl 07650949 Acta Math. Hung. 168, No. 2, 373-385 (2022). MSC: 11F20 11L05 11M35 PDF BibTeX XML Cite \textit{M. C. Dağli}, Acta Math. Hung. 168, No. 2, 373--385 (2022; Zbl 07650949) Full Text: DOI
Pushpa, K.; Vasuki, K. R. Evaluation of convolution sums \(\sum_{l+15m=n} \sigma (l) \sigma (m)\) and \(\sum_{3l+5m=n} \sigma (l) \sigma (m)\). (English) Zbl 1501.11014 Indian J. Pure Appl. Math. 53, No. 4, 1110-1121 (2022). MSC: 11A25 11E20 11E25 11F20 11M36 PDF BibTeX XML Cite \textit{K. Pushpa} and \textit{K. R. Vasuki}, Indian J. Pure Appl. Math. 53, No. 4, 1110--1121 (2022; Zbl 1501.11014) Full Text: DOI
Cho, Peter J.; Fiorilli, Daniel; Lee, Yoonbok; Södergren, Anders Omega results for cubic field counts via lower-order terms in the one-level density. (English) Zbl 07609808 Forum Math. Sigma 10, Paper No. e80, 33 p. (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R16 11R42 11M26 11R47 11M50 PDF BibTeX XML Cite \textit{P. J. Cho} et al., Forum Math. Sigma 10, Paper No. e80, 33 p. (2022; Zbl 07609808) Full Text: DOI arXiv
Garcia, Stephan Ramon; Lee, Ethan Simpson Explicit estimates for Artin \(L\)-functions: Duke’s short-sum theorem and Dedekind zeta residues. (English) Zbl 1516.11109 J. Number Theory 238, 920-943 (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R42 11M06 11S40 PDF BibTeX XML Cite \textit{S. R. Garcia} and \textit{E. S. Lee}, J. Number Theory 238, 920--943 (2022; Zbl 1516.11109) Full Text: DOI arXiv
Chakraborty, Kalyan; Krishnamoorthy, Krishnarjun On moments of non-normal number fields. (English) Zbl 1505.11076 J. Number Theory 238, 183-196 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F30 11R42 20C30 PDF BibTeX XML Cite \textit{K. Chakraborty} and \textit{K. Krishnamoorthy}, J. Number Theory 238, 183--196 (2022; Zbl 1505.11076) Full Text: DOI arXiv
Lim, Dongkyu; Qi, Feng Increasing property and logarithmic convexity of two functions involving Dirichlet eta function. (English) Zbl 1502.11092 J. Math. Inequal. 16, No. 2, 463-469 (2022). MSC: 11M06 11F20 26A51 33B15 PDF BibTeX XML Cite \textit{D. Lim} and \textit{F. Qi}, J. Math. Inequal. 16, No. 2, 463--469 (2022; Zbl 1502.11092) Full Text: DOI
Anusha, Thippesha; Bhuvan, Eshwar Nalige On Ramanujan’s Eisenstein series identities. (English) Zbl 1513.11133 Publ. Inst. Math., Nouv. Sér. 111(125), 69-76 (2022). MSC: 11F20 11M36 PDF BibTeX XML Cite \textit{T. Anusha} and \textit{E. N. Bhuvan}, Publ. Inst. Math., Nouv. Sér. 111(125), 69--76 (2022; Zbl 1513.11133) Full Text: DOI
Dixit, Atul; Gupta, Shivajee; Vatwani, Akshaa A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis. (English) Zbl 1491.11107 J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022). MSC: 11R42 11M26 11F27 PDF BibTeX XML Cite \textit{A. Dixit} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022; Zbl 1491.11107) Full Text: DOI arXiv
Agnihotri, Rishabh Lambert series associated to Hilbert modular form. (English) Zbl 1499.11201 Int. J. Number Theory 18, No. 6, 1335-1349 (2022). MSC: 11F41 11R42 11M26 11F66 PDF BibTeX XML Cite \textit{R. Agnihotri}, Int. J. Number Theory 18, No. 6, 1335--1349 (2022; Zbl 1499.11201) Full Text: DOI
Kandhil, Neelam A note on Dedekind zeta values at \(1/2\). (English) Zbl 1494.11060 Int. J. Number Theory 18, No. 6, 1289-1299 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J86 11J91 11M41 PDF BibTeX XML Cite \textit{N. Kandhil}, Int. J. Number Theory 18, No. 6, 1289--1299 (2022; Zbl 1494.11060) Full Text: DOI
Dubon, Eric A note on the density of zeros of partial sums of the Dedekind zeta function over a quadratic field. (Une note sur la densité des zéros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique.) (French) Zbl 1489.11193 Can. Math. Bull. 65, No. 2, 409-415 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11R42 11R45 30C15 PDF BibTeX XML Cite \textit{E. Dubon}, Can. Math. Bull. 65, No. 2, 409--415 (2022; Zbl 1489.11193) Full Text: DOI
Garcia, Stephan Ramon; Lee, Ethan Simpson Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. (English) Zbl 1497.11278 Ramanujan J. 57, No. 3, 1169-1191 (2022). MSC: 11R42 11R29 11N05 11R11 PDF BibTeX XML Cite \textit{S. R. Garcia} and \textit{E. S. Lee}, Ramanujan J. 57, No. 3, 1169--1191 (2022; Zbl 1497.11278) Full Text: DOI arXiv
Belhadj, Samir; Goubi, Mouloud On Bell polynomials associated to Vasyunin cotangent sums. (English) Zbl 1479.11063 Int. Electron. J. Algebra 31, 230-242 (2022). MSC: 11E45 11M06 11F20 PDF BibTeX XML Cite \textit{S. Belhadj} and \textit{M. Goubi}, Int. Electron. J. Algebra 31, 230--242 (2022; Zbl 1479.11063) Full Text: DOI
Maier, Helmut; Rassias, Michael Th.; Tóth, László Recent progress on topics of Ramanujan sums and cotangent sums associated with the Riemann hypothesis. (English) Zbl 1493.11006 Monographs in Number Theory 10. Singapore: World Scientific (ISBN 978-981-12-4688-3/hbk; 978-981-12-4690-6/ebook). ix, 154 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-06 11Lxx 11Mxx 11Nxx PDF BibTeX XML Cite \textit{H. Maier} et al., Recent progress on topics of Ramanujan sums and cotangent sums associated with the Riemann hypothesis. Singapore: World Scientific (2022; Zbl 1493.11006) Full Text: DOI
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Two-parameter identities for divisor sums in algebraic number fields. (English) Zbl 1474.11159 J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022). MSC: 11N37 11R42 33C10 PDF BibTeX XML Cite \textit{B. C. Berndt} et al., J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022; Zbl 1474.11159) Full Text: DOI arXiv
Sutherland, Andrew V. Stronger arithmetic equivalence. (English) Zbl 1483.11250 Discrete Anal. 2021, Paper No. 23, 23 p. (2021). MSC: 11R42 20C05 20C20 PDF BibTeX XML Cite \textit{A. V. Sutherland}, Discrete Anal. 2021, Paper No. 23, 23 p. (2021; Zbl 1483.11250) Full Text: DOI arXiv
Liu, Huafeng Mean value estimates related to the Dedekind zeta-function. (English) Zbl 1478.11112 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 48, 10 p. (2021). MSC: 11N37 11R42 PDF BibTeX XML Cite \textit{H. Liu}, Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 48, 10 p. (2021; Zbl 1478.11112) Full Text: DOI
Altuntaş, Çağatay; Göral, Haydar Dedekind harmonic numbers. (English) Zbl 1496.11037 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 46, 18 p. (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B83 11R04 PDF BibTeX XML Cite \textit{Ç. Altuntaş} and \textit{H. Göral}, Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 46, 18 p. (2021; Zbl 1496.11037) Full Text: DOI
Heim, Bernhard; Neuhauser, Markus On the growth and zeros of polynomials attached to arithmetic functions. (English) Zbl 1483.11083 Abh. Math. Semin. Univ. Hamb. 91, No. 2, 305-323 (2021). MSC: 11F30 11M36 26C10 05A17 11B37 PDF BibTeX XML Cite \textit{B. Heim} and \textit{M. Neuhauser}, Abh. Math. Semin. Univ. Hamb. 91, No. 2, 305--323 (2021; Zbl 1483.11083) Full Text: DOI arXiv
Faulhuber, Markus Some curious results related to a conjecture of Strohmer and Beaver. (English) Zbl 1480.42041 Anal. Appl., Singap. 19, No. 5, 845-873 (2021). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 11M36 33E05 PDF BibTeX XML Cite \textit{M. Faulhuber}, Anal. Appl., Singap. 19, No. 5, 845--873 (2021; Zbl 1480.42041) Full Text: DOI arXiv
Inoue, Shōta Some explicit formulas for partial sums of Möbius functions. (English) Zbl 1481.11089 J. Théor. Nombres Bordx. 33, No. 2, 273-315 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11N37 11M06 11R42 PDF BibTeX XML Cite \textit{S. Inoue}, J. Théor. Nombres Bordx. 33, No. 2, 273--315 (2021; Zbl 1481.11089) Full Text: DOI arXiv
Bordellès, Olivier Corrigendum to: “On the ideal theorem for number fields”. (English) Zbl 1475.11172 Funct. Approximatio, Comment. Math. 64, No. 1, 71-76 (2021). MSC: 11N37 11L07 11R42 PDF BibTeX XML Cite \textit{O. Bordellès}, Funct. Approximatio, Comment. Math. 64, No. 1, 71--76 (2021; Zbl 1475.11172) Full Text: DOI
Murty, M. Ram; Pathak, Siddhi S. A note on values of the Dedekind zeta-function at odd positive integers. (English) Zbl 1477.11191 Int. J. Number Theory 17, No. 8, 1753-1764 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11R11 11M41 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{S. S. Pathak}, Int. J. Number Theory 17, No. 8, 1753--1764 (2021; Zbl 1477.11191) Full Text: DOI
Mittou, Brahim; Derbal, Abdallah Complex numbers similar to the generalized Bernoulli numbers and their applications. (English) Zbl 1485.11129 Math. Montisnigri 50, 15-26 (2021). MSC: 11M06 11B68 11F20 PDF BibTeX XML Cite \textit{B. Mittou} and \textit{A. Derbal}, Math. Montisnigri 50, 15--26 (2021; Zbl 1485.11129) Full Text: DOI
Goubi, Mouloud Series expansion of a cotangent sum related to the Estermann zeta function. (English) Zbl 1488.11102 Kragujevac J. Math. 45, No. 3, 343-352 (2021). MSC: 11F20 11E45 11M26 PDF BibTeX XML Cite \textit{M. Goubi}, Kragujevac J. Math. 45, No. 3, 343--352 (2021; Zbl 1488.11102) Full Text: Link
Kaltenböck, Lisa; Kiuchi, Isao; Saad Eddin, Sumaia; Ueda, Masaaki Sums of averages of gcd-sum functions. II. (English) Zbl 1479.11022 Result. Math. 76, No. 1, Paper No. 43, 18 p. (2021). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{L. Kaltenböck} et al., Result. Math. 76, No. 1, Paper No. 43, 18 p. (2021; Zbl 1479.11022) Full Text: DOI arXiv
Darses, Sébastien; Hillion, Erwan An exponentially-averaged Vasyunin formula. (English) Zbl 1478.11101 Proc. Am. Math. Soc. 149, No. 7, 2969-2982 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11M06 11M26 11F20 PDF BibTeX XML Cite \textit{S. Darses} and \textit{E. Hillion}, Proc. Am. Math. Soc. 149, No. 7, 2969--2982 (2021; Zbl 1478.11101) Full Text: DOI arXiv
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 1470.11297 Acta Arith. 198, No. 3, 233-256 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R11 11R16 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 1470.11297) Full Text: DOI
Lee, Ethan S. On an explicit zero-free region for the Dedekind zeta-function. (English) Zbl 1470.11296 J. Number Theory 224, 307-322 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11R44 11M06 11N13 11B25 PDF BibTeX XML Cite \textit{E. S. Lee}, J. Number Theory 224, 307--322 (2021; Zbl 1470.11296) Full Text: DOI arXiv
Dixit, Anup B.; Mahatab, Kamalakshya Large values of \(L\)-functions on the 1-line. (English) Zbl 1468.11185 Bull. Aust. Math. Soc. 103, No. 2, 230-243 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11M41 11R42 PDF BibTeX XML Cite \textit{A. B. Dixit} and \textit{K. Mahatab}, Bull. Aust. Math. Soc. 103, No. 2, 230--243 (2021; Zbl 1468.11185) Full Text: DOI arXiv
Sgobba, Pietro On the distribution of the order and index for the reductions of algebraic numbers. (English) Zbl 1470.11299 J. Number Theory 223, 132-152 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R44 11R45 11R18 11R21 PDF BibTeX XML Cite \textit{P. Sgobba}, J. Number Theory 223, 132--152 (2021; Zbl 1470.11299) Full Text: DOI arXiv
Stasinski, Alexander A uniform proof of the finiteness of the class group of a global field. (English) Zbl 1469.11444 Am. Math. Mon. 128, No. 3, 239-249 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R42 11R29 13E15 PDF BibTeX XML Cite \textit{A. Stasinski}, Am. Math. Mon. 128, No. 3, 239--249 (2021; Zbl 1469.11444) Full Text: DOI arXiv Link Backlinks: MO
Banerjee, Soumyarup; Chakraborty, Kalyan; Hoque, Azizul An analogue of Wilton’s formula and values of Dedekind zeta functions. (English) Zbl 1481.11111 J. Math. Anal. Appl. 495, No. 1, Article ID 124675, 20 p. (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R42 11B68 11M06 11A07 11E45 11F20 PDF BibTeX XML Cite \textit{S. Banerjee} et al., J. Math. Anal. Appl. 495, No. 1, Article ID 124675, 20 p. (2021; Zbl 1481.11111) Full Text: DOI arXiv
Banerjee, Soumyarup Piltz divisor problem over number fields à la Voronoï. (English) Zbl 1470.11295 Proc. Am. Math. Soc. 149, No. 3, 1025-1038 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11R11 11S40 33C60 PDF BibTeX XML Cite \textit{S. Banerjee}, Proc. Am. Math. Soc. 149, No. 3, 1025--1038 (2021; Zbl 1470.11295) Full Text: DOI arXiv
Smit, Harry \(L\)-series and isomorphisms of number fields. (English) Zbl 1470.11294 J. Number Theory 221, 339-357 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R37 11R42 11M41 20C15 PDF BibTeX XML Cite \textit{H. Smit}, J. Number Theory 221, 339--357 (2021; Zbl 1470.11294) Full Text: DOI arXiv
Kala, Vítězslav; Yatsyna, Pavlo Lifting problem for universal quadratic forms. (English) Zbl 1462.11028 Adv. Math. 377, Article ID 107497, 25 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11R11 11R18 11H06 11H55 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Adv. Math. 377, Article ID 107497, 25 p. (2021; Zbl 1462.11028) Full Text: DOI arXiv
Vasuki, K. R.; Anusha, T.; Bhuvan, E. N. Level 28 analogues of Ramanujan type series for \(\frac 1\pi\). (English) Zbl 1459.11106 Indian J. Math. 62, No. 1, 59-79 (2020). MSC: 11F20 11M36 PDF BibTeX XML Cite \textit{K. R. Vasuki} et al., Indian J. Math. 62, No. 1, 59--79 (2020; Zbl 1459.11106)
Das, Mithun Kumar; Juyal, Abhishek Higher dimensional Dedekind sums and twisted mean values of Dirichlet \(L\)-series. (English) Zbl 1456.11153 J. Ramanujan Math. Soc. 35, No. 4, 327-340 (2020). MSC: 11M06 11F20 11L03 42A32 PDF BibTeX XML Cite \textit{M. K. Das} and \textit{A. Juyal}, J. Ramanujan Math. Soc. 35, No. 4, 327--340 (2020; Zbl 1456.11153) Full Text: Link
Lampret, V. Efficient estimate of the remainder for the Dirichlet function \(\eta(p)\) for \(p\in \mathbb{R}^+\). (English) Zbl 1474.11146 Miskolc Math. Notes 21, No. 1, 241-247 (2020). MSC: 11M06 11F20 33E05 40A25 PDF BibTeX XML Cite \textit{V. Lampret}, Miskolc Math. Notes 21, No. 1, 241--247 (2020; Zbl 1474.11146) Full Text: DOI
Shibukawa, Genki An elliptic analogue of Fukuhara’s trigonometric identities. (English) Zbl 1439.11114 Int. J. Math. Comput. Sci. 15, No. 2, 745-768 (2020). MSC: 11F11 11F20 11M36 33E05 PDF BibTeX XML Cite \textit{G. Shibukawa}, Int. J. Math. Comput. Sci. 15, No. 2, 745--768 (2020; Zbl 1439.11114) Full Text: arXiv Link
Paul, Biplab; Sankaranarayanan, Ayyadurai On the error term and zeros of the Dedekind zeta function. (English) Zbl 1448.11203 J. Number Theory 215, 98-119 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M41 PDF BibTeX XML Cite \textit{B. Paul} and \textit{A. Sankaranarayanan}, J. Number Theory 215, 98--119 (2020; Zbl 1448.11203) Full Text: DOI
Derevyanko, Nikita; Kovalenko, Kirill; Zhukovskii, Maksim On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1444.11176 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 1-28 (2020). MSC: 11M26 11L03 PDF BibTeX XML Cite \textit{N. Derevyanko} et al., in: Trigonometric sums and their applications. Cham: Springer. 1--28 (2020; Zbl 1444.11176) Full Text: DOI arXiv
Takhtajan, Leon A. Etudes of the resolvent. (English. Russian original) Zbl 1440.47004 Russ. Math. Surv. 75, No. 1, 147-186 (2020); translation from Usp. Mat. Nauk 75, No. 1, 155-194 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 47A10 47B25 34B24 35P10 47-02 PDF BibTeX XML Cite \textit{L. A. Takhtajan}, Russ. Math. Surv. 75, No. 1, 147--186 (2020; Zbl 1440.47004); translation from Usp. Mat. Nauk 75, No. 1, 155--194 (2020) Full Text: DOI arXiv
Hu, Guangwei; Wang, Ke Higher moment of coefficients of Dedekind zeta function. (English) Zbl 1466.11087 Front. Math. China 15, No. 1, 57-67 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11E25 11F30 11N37 11R16 PDF BibTeX XML Cite \textit{G. Hu} and \textit{K. Wang}, Front. Math. China 15, No. 1, 57--67 (2020; Zbl 1466.11087) Full Text: DOI
Halter-Koch, Franz An invitation to algebraic numbers and algebraic functions. (English) Zbl 1477.11002 Boca Raton, FL: CRC Press (ISBN 978-1-138-58361-0/hbk; 978-1-138-58361-0/ebook). xiv, 580 p. (2020). Reviewer: Robert W. van der Waall (Huizen) MSC: 11-01 12-01 11Rxx 11Sxx 11S15 11S20 11S40 12Fxx PDF BibTeX XML Cite \textit{F. Halter-Koch}, An invitation to algebraic numbers and algebraic functions. Boca Raton, FL: CRC Press (2020; Zbl 1477.11002) Full Text: DOI
Dixit, Atul; Maji, Bibekananda Generalized Lambert series and arithmetic nature of odd zeta values. (English) Zbl 1437.11124 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741-769 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{B. Maji}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741--769 (2020; Zbl 1437.11124) Full Text: DOI arXiv
Wang, Dan The Selberg-Delange method in short intervals for the Dedekind zeta function. (English) Zbl 1461.11155 Acta Arith. 192, No. 3, 301-311 (2020). MSC: 11R42 11M41 PDF BibTeX XML Cite \textit{D. Wang}, Acta Arith. 192, No. 3, 301--311 (2020; Zbl 1461.11155) Full Text: DOI
Ye, Dongxi On a zeta function associated to a quadratic order. (English) Zbl 1458.11066 Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020). Reviewer: Noriko Yui (Kingston) MSC: 11E45 11F03 11M41 11R42 PDF BibTeX XML Cite \textit{D. Ye}, Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020; Zbl 1458.11066) Full Text: DOI
Espinoza, Milton On certain zeta integral: transformation formula. (English) Zbl 1468.11176 J. Number Theory 207, 315-348 (2020). MSC: 11M32 11M35 11R42 11F20 PDF BibTeX XML Cite \textit{M. Espinoza}, J. Number Theory 207, 315--348 (2020; Zbl 1468.11176) Full Text: DOI arXiv
Breuillard, Emmanuel; Varjú, Péter P. Irreducibility of random polynomials of large degree. (English) Zbl 1459.11079 Acta Math. 223, No. 2, 195-249 (2019). MSC: 11C08 12D10 11R42 60J10 PDF BibTeX XML Cite \textit{E. Breuillard} and \textit{P. P. Varjú}, Acta Math. 223, No. 2, 195--249 (2019; Zbl 1459.11079) Full Text: DOI arXiv
Dixit, Atul; Gupta, Rajat On squares of odd zeta values and analogues of Eisenstein series. (English) Zbl 1470.11219 Adv. Appl. Math. 110, 86-119 (2019). MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{R. Gupta}, Adv. Appl. Math. 110, 86--119 (2019; Zbl 1470.11219) Full Text: DOI
Li, Junxian; Zaharescu, Alexandru Value distribution of \(L^\prime(\rho)\). (English) Zbl 1477.11154 J. Math. Anal. Appl. 480, No. 1, Article ID 123400, 24 p. (2019). MSC: 11M06 11F66 PDF BibTeX XML Cite \textit{J. Li} and \textit{A. Zaharescu}, J. Math. Anal. Appl. 480, No. 1, Article ID 123400, 24 p. (2019; Zbl 1477.11154) Full Text: DOI
Duan, Ran On the computational problem of one kind special mean square value of \(L\)-functions. (Chinese. English summary) Zbl 1438.11119 J. Northwest Univ., Nat. Sci. Ed. 49, No. 2, 302-308 (2019). MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{R. Duan}, J. Northwest Univ., Nat. Sci. Ed. 49, No. 2, 302--308 (2019; Zbl 1438.11119) Full Text: DOI
Bhuvan, E. N.; Vasuki, K. R. On a Ramanujan’s Eisenstein series identity of level fifteen. (English) Zbl 1454.11074 Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 57, 18 p. (2019). MSC: 11F20 33C05 11M36 PDF BibTeX XML Cite \textit{E. N. Bhuvan} and \textit{K. R. Vasuki}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 57, 18 p. (2019; Zbl 1454.11074) Full Text: DOI
Shankar, Arul; Södergren, Anders; Templier, Nicolas Sato-Tate equidistribution of certain families of Artin \(L\)-functions. (English) Zbl 1469.11443 Forum Math. Sigma 7, Paper No. e23, 62 p. (2019). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11M41 11M50 PDF BibTeX XML Cite \textit{A. Shankar} et al., Forum Math. Sigma 7, Paper No. e23, 62 p. (2019; Zbl 1469.11443) Full Text: DOI arXiv
Wu, Xiaosheng; Zhao, Lilu On simple zeros of the Dedekind zeta-function of a quadratic number field. (English) Zbl 1429.11205 Mathematika 65, No. 4, 851-861 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M06 11M26 PDF BibTeX XML Cite \textit{X. Wu} and \textit{L. Zhao}, Mathematika 65, No. 4, 851--861 (2019; Zbl 1429.11205) Full Text: DOI
Flórez, Jorge; Karabulut, Cihan; Wong, Tian An Eisenstein cocycles over imaginary quadratic fields and special values of \(L\)-functions. (English) Zbl 1472.11153 J. Number Theory 204, 497-531 (2019). MSC: 11F67 11F20 11R42 PDF BibTeX XML Cite \textit{J. Flórez} et al., J. Number Theory 204, 497--531 (2019; Zbl 1472.11153) Full Text: DOI arXiv
Ge, Zhenchao; Milinovich, Micah B.; Pollack, Paul A note on the least prime that splits completely in a nonabelian Galois number field. (English) Zbl 1448.11204 Math. Z. 292, No. 1-2, 183-192 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R44 11R21 11R42 PDF BibTeX XML Cite \textit{Z. Ge} et al., Math. Z. 292, No. 1--2, 183--192 (2019; Zbl 1448.11204) Full Text: DOI
Herrero, S.; Imamoḡlu, Ö.; von Pippich, A.-M.; Tóth, Á. A Jensen-Rohrlich type formula for the hyperbolic 3-space. (English) Zbl 1452.11042 Trans. Am. Math. Soc. 371, No. 9, 6421-6446 (2019). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F03 11F20 11F72 11F55 PDF BibTeX XML Cite \textit{S. Herrero} et al., Trans. Am. Math. Soc. 371, No. 9, 6421--6446 (2019; Zbl 1452.11042) Full Text: DOI arXiv
Bayad, Abdelmejid; Goubi, Mouloud Reciprocity formulae for generalized Dedekind-Vasyunin-Cotangent sums. (English) Zbl 1437.11059 Math. Methods Appl. Sci. 42, No. 4, 1082-1098 (2019). MSC: 11F20 11B68 11M35 11M26 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Goubi}, Math. Methods Appl. Sci. 42, No. 4, 1082--1098 (2019; Zbl 1437.11059) Full Text: DOI
Roy, Arindam; Vatwani, Akshaa Zeros of partial sums of \(L\)-functions. (English) Zbl 1494.11077 Adv. Math. 346, 467-509 (2019). MSC: 11M41 11N37 11M26 11N64 PDF BibTeX XML Cite \textit{A. Roy} and \textit{A. Vatwani}, Adv. Math. 346, 467--509 (2019; Zbl 1494.11077) Full Text: DOI arXiv
Micheli, Giacomo; Weger, Violetta On rectangular unimodular matrices over the algebraic integers. (English) Zbl 1425.15029 SIAM J. Discrete Math. 33, No. 1, 425-437 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 15B33 15B36 11M50 11R45 11C20 PDF BibTeX XML Cite \textit{G. Micheli} and \textit{V. Weger}, SIAM J. Discrete Math. 33, No. 1, 425--437 (2019; Zbl 1425.15029) Full Text: DOI arXiv
Dobrovolskiĭ, Nikolaĭ Nikolaevich On two asymptotic formulas in the theory of hyperbolic zeta function of lattices. (Russian. English summary) Zbl 1439.11232 Chebyshevskiĭ Sb. 19, No. 3(67), 109-134 (2018). MSC: 11M41 11R47 11H06 PDF BibTeX XML Cite \textit{N. N. Dobrovolskiĭ}, Chebyshevskiĭ Sb. 19, No. 3(67), 109--134 (2018; Zbl 1439.11232) Full Text: DOI MNR
Saad Eddin, Sumaia The signs of the Stieltjes constants associated with the Dedekind zeta function. (English) Zbl 1453.11148 Proc. Japan Acad., Ser. A 94, No. 10, 93-96 (2018). MSC: 11R42 11M06 PDF BibTeX XML Cite \textit{S. Saad Eddin}, Proc. Japan Acad., Ser. A 94, No. 10, 93--96 (2018; Zbl 1453.11148) Full Text: DOI arXiv Euclid
Liu, Yanyan On the Fermat’s numbers and the weighted average of \(L\)-functions. (Chinese. English summary) Zbl 1424.11092 Math. Pract. Theory 48, No. 13, 211-215 (2018). MSC: 11F20 11M06 PDF BibTeX XML Cite \textit{Y. Liu}, Math. Pract. Theory 48, No. 13, 211--215 (2018; Zbl 1424.11092)
Louboutin, Stéphane R. Upper bounds on \(L(1,\chi)\) taking into account a finite set of prime ideals. (English) Zbl 1422.11230 Acta Arith. 182, No. 3, 249-269 (2018). MSC: 11R42 11M20 11R29 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Acta Arith. 182, No. 3, 249--269 (2018; Zbl 1422.11230) Full Text: DOI
Sono, Keiju Continuous lower bounds for the moments of Dedekind zeta-functions. (English) Zbl 1440.11213 J. Number Theory 188, 335-356 (2018). MSC: 11R42 11M06 PDF BibTeX XML Cite \textit{K. Sono}, J. Number Theory 188, 335--356 (2018; Zbl 1440.11213) Full Text: DOI
Can, Mümün; Dağli, Muhammet Cihat Character analogue of the Boole summation formula with applications. (English) Zbl 1424.65002 Turk. J. Math. 41, No. 5, 1204-1223 (2017). MSC: 65B15 11M06 11F20 11B68 PDF BibTeX XML Cite \textit{M. Can} and \textit{M. C. Dağli}, Turk. J. Math. 41, No. 5, 1204--1223 (2017; Zbl 1424.65002) Full Text: DOI arXiv
Zhang, Yifeng; Shi, Sanying On the error term for the number of solutions of certain congruences. (English) Zbl 1424.11142 Chin. Q. J. Math. 32, No. 3, 271-276 (2017). MSC: 11N37 11R42 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{S. Shi}, Chin. Q. J. Math. 32, No. 3, 271--276 (2017; Zbl 1424.11142) Full Text: DOI
Shi, Sanying; Yao, Mei On the error term for the sum of the coefficients of Dedekind zeta-function over square numbers. (English) Zbl 1399.11161 Adv. Math., Beijing 46, No. 5, 701-707 (2017). MSC: 11N37 11R42 PDF BibTeX XML Cite \textit{S. Shi} and \textit{M. Yao}, Adv. Math., Beijing 46, No. 5, 701--707 (2017; Zbl 1399.11161)
Zaman, Asif Bounding the least prime ideal in the Chebotarev density theorem. (English) Zbl 1427.11123 Funct. Approximatio, Comment. Math. 57, No. 1, 115-142 (2017). MSC: 11R44 11R42 11M41 PDF BibTeX XML Cite \textit{A. Zaman}, Funct. Approximatio, Comment. Math. 57, No. 1, 115--142 (2017; Zbl 1427.11123) Full Text: DOI arXiv Euclid
Louboutin, Stéphane R. Simple zeros of Dedekind zeta functions. (English) Zbl 1434.11219 Funct. Approximatio, Comment. Math. 56, No. 1, 109-116 (2017). MSC: 11R42 11R29 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Funct. Approximatio, Comment. Math. 56, No. 1, 109--116 (2017; Zbl 1434.11219) Full Text: DOI Euclid
Dağlı, M. Cihat; Can, Mümün Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series. (English) Zbl 1430.11122 Ramanujan J. 44, No. 2, 301-341 (2017). MSC: 11M36 11F20 11B68 PDF BibTeX XML Cite \textit{M. C. Dağlı} and \textit{M. Can}, Ramanujan J. 44, No. 2, 301--341 (2017; Zbl 1430.11122) Full Text: DOI arXiv
Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias Reciprocity theorems for Bettin-Conrey sums. (English) Zbl 1422.11088 Acta Arith. 181, No. 4, 297-319 (2017). MSC: 11F20 11L03 11M35 PDF BibTeX XML Cite \textit{J. S. Auli} et al., Acta Arith. 181, No. 4, 297--319 (2017; Zbl 1422.11088) Full Text: DOI arXiv
Dağlı, M. Cihat; Can, Mümün On generalized Eisenstein series and Ramanujan’s formula for periodic zeta-functions. (English) Zbl 1427.11083 Monatsh. Math. 184, No. 1, 77-103 (2017). MSC: 11M36 11M41 11F20 11B68 PDF BibTeX XML Cite \textit{M. C. Dağlı} and \textit{M. Can}, Monatsh. Math. 184, No. 1, 77--103 (2017; Zbl 1427.11083) Full Text: DOI arXiv
Miguel, C. Cesàro’s formula in number fields. (English) Zbl 1421.11092 J. Number Theory 180, 606-614 (2017). MSC: 11R42 11R99 PDF BibTeX XML Cite \textit{C. Miguel}, J. Number Theory 180, 606--614 (2017; Zbl 1421.11092) Full Text: DOI
Takeda, Wataru Visible lattice points and the extended Lindelöf hypothesis. (English) Zbl 1421.11080 J. Number Theory 180, 297-309 (2017). MSC: 11P21 11N45 11R42 52C07 PDF BibTeX XML Cite \textit{W. Takeda}, J. Number Theory 180, 297--309 (2017; Zbl 1421.11080) Full Text: DOI arXiv
Inoue, Shōta; Kiuchi, Isao Riesz means of the Dedekind function. (English) Zbl 1428.11171 Kyushu J. Math. 71, No. 1, 105-114 (2017). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{S. Inoue} and \textit{I. Kiuchi}, Kyushu J. Math. 71, No. 1, 105--114 (2017; Zbl 1428.11171) Full Text: DOI
Hamahata, Yoshinori Cotangent zeta functions in function fields. (English) Zbl 1431.11057 Ramanujan J. 42, No. 1, 15-27 (2017). MSC: 11F20 11E45 11G09 11R42 33E20 PDF BibTeX XML Cite \textit{Y. Hamahata}, Ramanujan J. 42, No. 1, 15--27 (2017; Zbl 1431.11057) Full Text: DOI
Louboutin, Stéphane R. Upper bounds on \(L(1,\chi)\) taking into account ramified prime ideals. (English) Zbl 1428.11200 J. Number Theory 177, 60-72 (2017). MSC: 11R42 11M20 PDF BibTeX XML Cite \textit{S. R. Louboutin}, J. Number Theory 177, 60--72 (2017; Zbl 1428.11200) Full Text: DOI
Hulse, Thomas A.; Murty, M. Ram Bertrand’s postulate for number fields. (English) Zbl 1422.11231 Colloq. Math. 147, No. 2, 165-180 (2017). MSC: 11R44 11R42 PDF BibTeX XML Cite \textit{T. A. Hulse} and \textit{M. R. Murty}, Colloq. Math. 147, No. 2, 165--180 (2017; Zbl 1422.11231) Full Text: DOI arXiv
Hu, Su; Kim, Min-Soo The \(p\)-adic analytic Dedekind sums. (English) Zbl 1419.11074 J. Number Theory 171, 112-127 (2017). MSC: 11F20 11B68 11S80 11M35 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M.-S. Kim}, J. Number Theory 171, 112--127 (2017; Zbl 1419.11074) Full Text: DOI
Lee, Jungyun; Jun, Byungheup; Chae, Hi-joon Higher Hickerson formula. (English) Zbl 1419.11075 J. Number Theory 170, 191-210 (2017). MSC: 11F20 PDF BibTeX XML Cite \textit{J. Lee} et al., J. Number Theory 170, 191--210 (2017; Zbl 1419.11075) Full Text: DOI arXiv
Shi, Sanying On the error term for some arithmetic functions in number fields. (English) Zbl 1389.11128 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 62, No. 2, Part 2, 615-621 (2016). MSC: 11N37 11R42 PDF BibTeX XML Cite \textit{S. Shi}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 62, No. 2, Part 2, 615--621 (2016; Zbl 1389.11128)
Louboutin, Stéphane R. Dedekind sums, mean square value of \(L\)-functions at \(s=1\) and upper bounds on relative class numbers. (English) Zbl 1403.11070 Bull. Pol. Acad. Sci., Math. 64, No. 2-3, 165-174 (2016). MSC: 11R42 11M20 11R20 11R29 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Bull. Pol. Acad. Sci., Math. 64, No. 2--3, 165--174 (2016; Zbl 1403.11070) Full Text: DOI
Matz, Jasmin Zeta functions for the adjoint action of GL(\(n\)) and density of residues of Dedekind zeta functions. (English) Zbl 1412.11118 Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 351-433 (2016). MSC: 11M41 11R42 11F72 PDF BibTeX XML Cite \textit{J. Matz}, in: Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 -- February 1, 2014. Cham: Springer. 351--433 (2016; Zbl 1412.11118) Full Text: DOI arXiv
Fomenko, O. M. On the mean square of the error term for Dedekind zeta functions. (English. Russian original) Zbl 1352.11097 J. Math. Sci., New York 217, No. 1, 125-137 (2016); translation from Zap. Nauchn. Semin. POMI 440, 187-204 (2015). MSC: 11R42 11N37 PDF BibTeX XML Cite \textit{O. M. Fomenko}, J. Math. Sci., New York 217, No. 1, 125--137 (2016; Zbl 1352.11097); translation from Zap. Nauchn. Semin. POMI 440, 187--204 (2015) Full Text: DOI
Bui, H. M.; Heap, Winston P.; Turnage-Butterbaugh, Caroline L. Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II. (English) Zbl 1351.11075 Q. J. Math. 67, No. 3, 467-482 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M41 11R11 PDF BibTeX XML Cite \textit{H. M. Bui} et al., Q. J. Math. 67, No. 3, 467--482 (2016; Zbl 1351.11075) Full Text: DOI arXiv
Alkan, Emre; Mehreliyev, Tevekkül Number of prime ideals in short intervals. (English) Zbl 1411.11119 J. Number Theory 167, 430-480 (2016). MSC: 11R44 11N13 11M26 11J86 PDF BibTeX XML Cite \textit{E. Alkan} and \textit{T. Mehreliyev}, J. Number Theory 167, 430--480 (2016; Zbl 1411.11119) Full Text: DOI
Ferraguti, Andrea; Micheli, Giacomo On the Mertens-Cesàro theorem for number fields. (English) Zbl 1337.11071 Bull. Aust. Math. Soc. 93, No. 2, 199-210 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11N37 PDF BibTeX XML Cite \textit{A. Ferraguti} and \textit{G. Micheli}, Bull. Aust. Math. Soc. 93, No. 2, 199--210 (2016; Zbl 1337.11071) Full Text: DOI arXiv
Grenié, Loïc; Molteni, Giuseppe Explicit smoothed prime ideals theorems under GRH. (English) Zbl 1415.11171 Math. Comput. 85, No. 300, 1875-1899 (2016). MSC: 11R42 11Y40 PDF BibTeX XML Cite \textit{L. Grenié} and \textit{G. Molteni}, Math. Comput. 85, No. 300, 1875--1899 (2016; Zbl 1415.11171) Full Text: DOI arXiv