Généreux, Xavier; Lalín, Matilde On the Northcott property of Dedekind zeta functions. (English) Zbl 07823304 Ramanujan J. 63, No. 4, 1135-1178 (2024). MSC: 11G40 11M06 14G10 PDFBibTeX XMLCite \textit{X. Généreux} and \textit{M. Lalín}, Ramanujan J. 63, No. 4, 1135--1178 (2024; Zbl 07823304) Full Text: DOI arXiv
Klinger-Logan, Kim; Wong, Tian An The equidistribution of elliptic Dedekind sums and generalized Selberg-Kloosterman sums. (English) Zbl 07801560 Res. Number Theory 10, No. 1, Paper No. 19, 14 p. (2024). MSC: 11F20 11M36 PDFBibTeX XMLCite \textit{K. Klinger-Logan} and \textit{T. A. Wong}, Res. Number Theory 10, No. 1, Paper No. 19, 14 p. (2024; Zbl 07801560) Full Text: DOI arXiv
Khurana, Suraj Singh A closed-form expression for the Euler-Kronecker constant of a quadratic field. (English) Zbl 07796587 Ramanujan J. 63, No. 2, 507-526 (2024). MSC: 11M41 PDFBibTeX XMLCite \textit{S. S. Khurana}, Ramanujan J. 63, No. 2, 507--526 (2024; Zbl 07796587) Full Text: DOI
Heim, Bernhard; Neuhauser, Markus Estimate for the largest zeros of the D’Arcais polynomials. (English) Zbl 07789535 Res. Math. Sci. 11, No. 1, Paper No. 1, 10 p. (2024). MSC: 11F30 30C15 05A17 11B37 11M36 PDFBibTeX XMLCite \textit{B. Heim} and \textit{M. Neuhauser}, Res. Math. Sci. 11, No. 1, Paper No. 1, 10 p. (2024; Zbl 07789535) Full Text: DOI OA License
Burns, David; Daoud, Alexandre; Liang, Dingli On Non-Noetherian Iwasawa Theory. arXiv:2401.02946 Preprint, arXiv:2401.02946 [math.NT] (2024). MSC: 11R20 11R23 11R29 11R34 11R58 11R60 11R65 11T30 13F05 19F27 BibTeX Cite \textit{D. Burns} et al., ``On Non-Noetherian Iwasawa Theory'', Preprint, arXiv:2401.02946 [math.NT] (2024) Full Text: arXiv OA License
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers. (English) Zbl 07809569 Hardy-Ramanujan J. 46, 23-41 (2023). MSC: 11F30 11R42 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 46, 23--41 (2023; Zbl 07809569) Full Text: DOI
Reddy, G. Sudhaamsh Mohan; Rau, S. Srinivas; Uma, B. On the divergence of two subseries \(\sum\frac{1}{p}\), and theorems of De La Vallée Poussin and Landau-Walfisz. (English) Zbl 07805634 Bol. Soc. Parana. Mat. (3) 41, Paper No. 76, 9 p. (2023). MSC: 11R11 11R42 PDFBibTeX XMLCite \textit{G. S. M. Reddy} et al., Bol. Soc. Parana. Mat. (3) 41, Paper No. 76, 9 p. (2023; Zbl 07805634) Full Text: DOI
Sahu, Dhananjaya On values of Dedekind zeta function. (English) Zbl 07794724 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 48, 15 p. (2023). MSC: 11R42 11R11 11R18 11M41 PDFBibTeX XMLCite \textit{D. Sahu}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 48, 15 p. (2023; Zbl 07794724) Full Text: DOI
El Boukhari, Saad A twisted class number formula and Gross’s special units over an imaginary quadratic field. (English) Zbl 07790577 Czech. Math. J. 73, No. 4, 1333-1347 (2023). MSC: 11R70 19F27 PDFBibTeX XMLCite \textit{S. El Boukhari}, Czech. Math. J. 73, No. 4, 1333--1347 (2023; Zbl 07790577) Full Text: DOI
Dixit, Anup B.; Murty, M. Ram On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 07771567 Acta Arith. 210, 95-123 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R44 11N13 11M36 PDFBibTeX XMLCite \textit{A. B. Dixit} and \textit{M. R. Murty}, Acta Arith. 210, 95--123 (2023; Zbl 07771567) Full Text: DOI
Bordellès, Olivier From the ideal theorem to the class number. (English) Zbl 07761188 Can. Math. Bull. 66, No. 4, 1368-1375 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11R42 PDFBibTeX XMLCite \textit{O. Bordellès}, Can. Math. Bull. 66, No. 4, 1368--1375 (2023; Zbl 07761188) Full Text: DOI arXiv
Louboutin, Stéphane R.; Munsch, Marc Mean square values of \(L\)-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers. (English) Zbl 07756923 Can. J. Math. 75, No. 5, 1711-1743 (2023). Reviewer: Lawrence C. Washington (College Park) MSC: 11F20 11R42 11M20 11R29 11J71 11R20 PDFBibTeX XMLCite \textit{S. R. Louboutin} and \textit{M. Munsch}, Can. J. Math. 75, No. 5, 1711--1743 (2023; Zbl 07756923) Full Text: DOI arXiv OA License
Kandhil, Neelam; Lunia, Rashi; Sivaraman, Jyothsnaa Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields. (English) Zbl 07754304 Res. Number Theory 9, No. 4, Paper No. 69, 32 p. (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11R18 11R29 11R42 11Y60 PDFBibTeX XMLCite \textit{N. Kandhil} et al., Res. Number Theory 9, No. 4, Paper No. 69, 32 p. (2023; Zbl 07754304) Full Text: DOI arXiv
Banerjee, Soumyarup; Dixit, Atul; Gupta, Shivajee Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications. (English) Zbl 07751280 Res. Math. Sci. 10, No. 4, Paper No. 38, 50 p. (2023). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11M06 33C10 11P82 PDFBibTeX XMLCite \textit{S. Banerjee} et al., Res. Math. Sci. 10, No. 4, Paper No. 38, 50 p. (2023; Zbl 07751280) Full Text: DOI arXiv
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On a divisor problem related to a certain Dedekind zeta-function. (English) Zbl 07738499 J. Ramanujan Math. Soc. 38, No. 2, 183-194 (2023). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11N37 11F66 11F30 11R42 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, J. Ramanujan Math. Soc. 38, No. 2, 183--194 (2023; Zbl 07738499) Full Text: Link
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: 11N32 11R42 11R44 11Y35 PDFBibTeX XMLCite \textit{E. S. Lee}, Bull. Aust. Math. Soc. 108, No. 1, 169--172 (2023; Zbl 07734867) Full Text: DOI
Salch, Andrew Denominators of special values of \(\zeta\)-functions count \(KU\)-local homotopy groups of mod \(p\) Moore spectra. (English) Zbl 1528.11077 Rocky Mt. J. Math. 53, No. 3, 915-935 (2023). MSC: 11M06 11R42 55Q10 55Q45 55Q51 PDFBibTeX XMLCite \textit{A. Salch}, Rocky Mt. J. Math. 53, No. 3, 915--935 (2023; Zbl 1528.11077) Full Text: DOI arXiv Link
Yathirajsharma, M. V. On certain \(q\)-trigonometric identities analogous to that of Gosper’s. (English) Zbl 1523.11073 Rocky Mt. J. Math. 53, No. 2, 629-646 (2023). MSC: 11F20 11M36 14K25 PDFBibTeX XMLCite \textit{M. V. Yathirajsharma}, Rocky Mt. J. Math. 53, No. 2, 629--646 (2023; Zbl 1523.11073) Full Text: DOI Link
Chaubey, Sneha; Goel, Shivani On the distribution of Ramanujan sums over number fields. (English) Zbl 1526.11047 Ramanujan J. 61, No. 3, 813-837 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11N37 11R42 PDFBibTeX XMLCite \textit{S. Chaubey} and \textit{S. Goel}, Ramanujan J. 61, No. 3, 813--837 (2023; Zbl 1526.11047) Full Text: DOI arXiv
Kida, Masanari Arithmetically equivalent fields in a Galois extension with Frobenius Galois group of 2-power degree. (English) Zbl 1525.11137 Can. Math. Bull. 66, No. 2, 380-394 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 12F12 PDFBibTeX XMLCite \textit{M. Kida}, Can. Math. Bull. 66, No. 2, 380--394 (2023; Zbl 1525.11137) Full Text: DOI
Mantilla-Soler, Guillermo Density questions on arithmetic equivalence. (English) Zbl 07679769 Proc. Am. Math. Soc. 151, No. 7, 2783-2794 (2023). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R42 11R45 11-02 PDFBibTeX XMLCite \textit{G. Mantilla-Soler}, Proc. Am. Math. Soc. 151, No. 7, 2783--2794 (2023; Zbl 07679769) Full Text: DOI arXiv
Thorner, Jesse; Zaman, Asif A zero density estimate for Dedekind zeta functions. (English) Zbl 1525.11138 Int. Math. Res. Not. 2023, No. 8, 6739-6761 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11N35 11R29 PDFBibTeX XMLCite \textit{J. Thorner} and \textit{A. Zaman}, Int. Math. Res. Not. 2023, No. 8, 6739--6761 (2023; Zbl 1525.11138) Full Text: DOI arXiv
Radchenko, Danylo; Zagier, Don Arithmetic properties of the Herglotz function. (English) Zbl 1525.11095 J. Reine Angew. Math. 797, 229-253 (2023). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M41 11F67 11F20 11F25 11R11 PDFBibTeX XMLCite \textit{D. Radchenko} and \textit{D. Zagier}, J. Reine Angew. Math. 797, 229--253 (2023; Zbl 1525.11095) Full Text: DOI arXiv
Mishra, Mohit Lower bound for class numbers of certain real quadratic fields. (English) Zbl 07655753 Czech. Math. J. 73, No. 1, 1-14 (2023). MSC: 11R29 11R42 11R11 PDFBibTeX XMLCite \textit{M. Mishra}, Czech. Math. J. 73, No. 1, 1--14 (2023; Zbl 07655753) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 1518.11072 Forum Math. Sigma 10, Paper No. e80, 33 p. (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R16 11R42 11M26 11R47 11M50 PDFBibTeX XMLCite \textit{P. J. Cho} et al., Forum Math. Sigma 10, Paper No. e80, 33 p. (2022; Zbl 1518.11072) Full Text: DOI arXiv
Hu, Daniel; Kaneko, Ikuya; Martin, Spencer; Schildkraut, Carl Order of zeros of Dedekind zeta functions. (English) Zbl 1518.11081 Proc. Am. Math. Soc. 150, No. 12, 5111-5120 (2022). Reviewer: Thomas Oliver (London) MSC: 11R42 20C15 PDFBibTeX XMLCite \textit{D. Hu} et al., Proc. Am. Math. Soc. 150, No. 12, 5111--5120 (2022; Zbl 1518.11081) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie Counting zeros of Dedekind zeta functions. (English) Zbl 1494.11094 Math. Comput. 91, No. 333, 277-293 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11R42 PDFBibTeX XMLCite \textit{E. Hasanalizade} et al., Math. Comput. 91, No. 333, 277--293 (2022; Zbl 1494.11094) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Banerjee, Soumyarup; Sahani, Vijay Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series. arXiv:2206.13331 Preprint, arXiv:2206.13331 [math.NT] (2022). MSC: 11M06 11M36 11F20 BibTeX Cite \textit{S. Banerjee} and \textit{V. Sahani}, ``Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series'', Preprint, arXiv:2206.13331 [math.NT] (2022) Full Text: arXiv OA License
Kim, Henry H. Extreme values of Euler-Kronecker constants. (English) Zbl 1494.11095 Unif. Distrib. Theory 16, No. 1, 41-52 (2021). Reviewer: Sami Omar (Sukhair) MSC: 11R42 11M41 PDFBibTeX XMLCite \textit{H. H. Kim}, Unif. Distrib. Theory 16, No. 1, 41--52 (2021; Zbl 1494.11095) Full Text: DOI
Sutherland, Andrew V. Stronger arithmetic equivalence. (English) Zbl 1483.11250 Discrete Anal. 2021, Paper No. 23, 23 p. (2021). MSC: 11R42 20C05 20C20 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. Liu}, Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 48, 10 p. (2021; Zbl 1478.11112) 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 PDFBibTeX XMLCite \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
Mantilla-Soler, Guillermo The \((\alpha,\beta)\)-ramification invariants of a number field. (English) Zbl 1478.11127 Math. Slovaca 71, No. 1, 251-263 (2021). MSC: 11R04 11R42 11R56 PDFBibTeX XMLCite \textit{G. Mantilla-Soler}, Math. Slovaca 71, No. 1, 251--263 (2021; Zbl 1478.11127) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
Heap, Winston Moments of the Dedekind zeta function and other non-primitive \(L\)-functions. (English) Zbl 1505.11143 Math. Proc. Camb. Philos. Soc. 170, No. 1, 191-219 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R42 11M06 11M50 11M41 11M26 11-01 11F67 PDFBibTeX XMLCite \textit{W. Heap}, Math. Proc. Camb. Philos. Soc. 170, No. 1, 191--219 (2021; Zbl 1505.11143) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{L. Kaltenböck} et al., Result. Math. 76, No. 1, Paper No. 43, 18 p. (2021; Zbl 1479.11022) Full Text: DOI arXiv
Bailleul, Alexandre Chebyshev’s bias in dihedral and generalized quaternion Galois groups. (English) Zbl 1477.11166 Algebra Number Theory 15, No. 4, 999-1041 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 11N05 11K38 11M20 11R42 11R44 11R45 PDFBibTeX XMLCite \textit{A. Bailleul}, Algebra Number Theory 15, No. 4, 999--1041 (2021; Zbl 1477.11166) Full Text: DOI arXiv
Topacogullari, Berke The fourth moment of individual Dirichlet \(L\)-functions on the critical line. (English) Zbl 1473.11165 Math. Z. 298, No. 1-2, 577-624 (2021). MSC: 11M06 PDFBibTeX XMLCite \textit{B. Topacogullari}, Math. Z. 298, No. 1--2, 577--624 (2021; Zbl 1473.11165) 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 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 1470.11297) Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul; Mishra, Mohit On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\). (English) Zbl 1469.11432 Ann. Math. Qué. 45, No. 1, 203-212 (2021). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R42 11R11 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Ann. Math. Qué. 45, No. 1, 203--212 (2021; Zbl 1469.11432) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. Smit}, J. Number Theory 221, 339--357 (2021; Zbl 1470.11294) 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 PDFBibTeX XMLCite \textit{K. R. Vasuki} et al., Indian J. Math. 62, No. 1, 59--79 (2020; Zbl 1459.11106)
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. (English) Zbl 1456.11221 Camb. J. Math. 8, No. 3, 505-607 (2020). MSC: 11R70 11R42 14F42 19E15 19F27 PDFBibTeX XMLCite \textit{J. I. Kylling} et al., Camb. J. Math. 8, No. 3, 505--607 (2020; Zbl 1456.11221) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Lampret}, Miskolc Math. Notes 21, No. 1, 241--247 (2020; Zbl 1474.11146) Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul; Mishra, Mohit A note on certain real quadratic fields with class number up to three. (English) Zbl 1452.11132 Kyushu J. Math. 74, No. 1, 201-210 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11R42 11R11 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Kyushu J. Math. 74, No. 1, 201--210 (2020; Zbl 1452.11132) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{B. Paul} and \textit{A. Sankaranarayanan}, J. Number Theory 215, 98--119 (2020; Zbl 1448.11203) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Halter-Koch}, An invitation to algebraic numbers and algebraic functions. Boca Raton, FL: CRC Press (2020; Zbl 1477.11002) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. Ye}, Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020; Zbl 1458.11066) Full Text: DOI
Pierce, Lillian B.; Turnage-Butterbaugh, Caroline L.; Wood, Melanie Matchett An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups. (English) Zbl 1445.11129 Invent. Math. 219, No. 2, 701-778 (2020). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R42 11R45 11N75 PDFBibTeX XMLCite \textit{L. B. Pierce} et al., Invent. Math. 219, No. 2, 701--778 (2020; Zbl 1445.11129) Full Text: DOI arXiv
Espinoza, Milton On certain zeta integral: transformation formula. (English) Zbl 1468.11176 J. Number Theory 207, 315-348 (2020). MSC: 11M32 11M35 11R42 11F20 PDFBibTeX XMLCite \textit{M. Espinoza}, J. Number Theory 207, 315--348 (2020; Zbl 1468.11176) Full Text: DOI arXiv
Wong, Peng-Jie Zeros of Dedekind zeta functions and holomorphy of Artin \(L\)-functions. (English) Zbl 1441.11285 J. Ramanujan Math. Soc. 34, No. 2, 253-261 (2019). MSC: 11R42 PDFBibTeX XMLCite \textit{P.-J. Wong}, J. Ramanujan Math. Soc. 34, No. 2, 253--261 (2019; Zbl 1441.11285) Full Text: Link
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 PDFBibTeX XMLCite \textit{E. Breuillard} and \textit{P. P. Varjú}, Acta Math. 223, No. 2, 195--249 (2019; Zbl 1459.11079) Full Text: DOI arXiv
Bayad, Abdelmejid; Kim, Daeyeoul; Li, Yan Arithmetical properties of double Möbius-Bernoulli numbers. (English) Zbl 1423.11046 Open Math. 17, 32-42 (2019). MSC: 11B68 11M41 11A25 PDFBibTeX XMLCite \textit{A. Bayad} et al., Open Math. 17, 32--42 (2019; Zbl 1423.11046) Full Text: DOI
Ahn, Jeoung-Hwan; Kwon, Soun-Hi Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem. (English) Zbl 1462.11105 Acta Arith. 191, No. 3, 289-307 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R44 11M41 11R42 11R45 PDFBibTeX XMLCite \textit{J.-H. Ahn} and \textit{S.-H. Kwon}, Acta Arith. 191, No. 3, 289--307 (2019; Zbl 1462.11105) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{X. Wu} and \textit{L. Zhao}, Mathematika 65, No. 4, 851--861 (2019; Zbl 1429.11205) Full Text: DOI
Bogart, Tristram; Mantilla-Soler, Guillermo An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. (English) Zbl 1471.11261 Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R42 PDFBibTeX XMLCite \textit{T. Bogart} and \textit{G. Mantilla-Soler}, Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019; Zbl 1471.11261) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Flórez} et al., J. Number Theory 204, 497--531 (2019; Zbl 1472.11153) Full Text: DOI arXiv
Ahn, Jeoung-Hwan; Kwon, Soun-Hi An explicit upper bound for the least prime ideal in the Chebotarev density theorem. (Une borne explicite pour le plus petit idéal premier dans le théorème de densité de Chebotarev.) (English. French summary) Zbl 1443.11238 Ann. Inst. Fourier 69, No. 3, 1411-1458 (2019). Reviewer: Henri Johnston (Exeter) MSC: 11R44 11R42 11M41 11R45 PDFBibTeX XMLCite \textit{J.-H. Ahn} and \textit{S.-H. Kwon}, Ann. Inst. Fourier 69, No. 3, 1411--1458 (2019; Zbl 1443.11238) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Roy} and \textit{A. Vatwani}, Adv. Math. 346, 467--509 (2019; Zbl 1494.11077) Full Text: DOI arXiv
Goubi, Mouloud Series representation of a cotangent sum related to the Estermann zeta function. arXiv:1903.00250 Preprint, arXiv:1903.00250 [math.NT] (2019). MSC: 11F20 11E45 11M26 BibTeX Cite \textit{M. Goubi}, ``Series representation of a cotangent sum related to the Estermann zeta function'', Preprint, arXiv:1903.00250 [math.NT] (2019) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{S. Saad Eddin}, Proc. Japan Acad., Ser. A 94, No. 10, 93--96 (2018; Zbl 1453.11148) Full Text: DOI arXiv Euclid
Horozov, Ivan Periods of mixed Tate motives over real quadratic number rings. (English) Zbl 1436.11108 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 – July 2, 2016. Cham: Birkhäuser. Trends Math., 189-198 (2018). Reviewer: Jiangtao Li (Peking) MSC: 11M32 11R42 14G10 14G25 PDFBibTeX XMLCite \textit{I. Horozov}, in: Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 -- July 2, 2016. Cham: Birkhäuser. 189--198 (2018; Zbl 1436.11108) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{K. Sono}, J. Number Theory 188, 335--356 (2018; Zbl 1440.11213) Full Text: DOI