Xu, Ce Some evaluations of infinite series involving parametric harmonic numbers. (English) Zbl 1459.41016 Int. J. Number Theory 15, No. 7, 1531-1546 (2019). Reviewer: Johannes Blümlein (Zeuthen) MSC: 41A60 11M06 11M32 33E05 PDFBibTeX XMLCite \textit{C. Xu}, Int. J. Number Theory 15, No. 7, 1531--1546 (2019; Zbl 1459.41016) Full Text: DOI
Bae, Sunghan; Jung, Hwanyup Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic. (English) Zbl 1456.11114 Int. J. Number Theory 15, No. 7, 1519-1530 (2019). MSC: 11G20 11T55 11M38 PDFBibTeX XMLCite \textit{S. Bae} and \textit{H. Jung}, Int. J. Number Theory 15, No. 7, 1519--1530 (2019; Zbl 1456.11114) Full Text: DOI
Sun, Haiwei; Ye, Yangbo Further improvement on bounds for \(L\)-functions related to \(\mathrm{GL}(3)\). (English) Zbl 1456.11085 Int. J. Number Theory 15, No. 7, 1487-1517 (2019). MSC: 11F66 11M41 41A60 PDFBibTeX XMLCite \textit{H. Sun} and \textit{Y. Ye}, Int. J. Number Theory 15, No. 7, 1487--1517 (2019; Zbl 1456.11085) Full Text: DOI
Li, Xiumei; Sha, Min Polynomial functions in the residue class rings of Dedekind domains. (English) Zbl 1461.11164 Int. J. Number Theory 15, No. 7, 1473-1486 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11T06 11T55 PDFBibTeX XMLCite \textit{X. Li} and \textit{M. Sha}, Int. J. Number Theory 15, No. 7, 1473--1486 (2019; Zbl 1461.11164) Full Text: DOI arXiv
Girstmair, Kurt On a recent reciprocity formula for Dedekind sums. (English) Zbl 1475.11069 Int. J. Number Theory 15, No. 7, 1469-1472 (2019). Reviewer: Matthias Beck (San Francisco) MSC: 11F20 PDFBibTeX XMLCite \textit{K. Girstmair}, Int. J. Number Theory 15, No. 7, 1469--1472 (2019; Zbl 1475.11069) Full Text: DOI arXiv
Burek, Dominik; Żmija, Błażej A new upper bound for numbers with the Lehmer property and its application to repunit numbers. (English) Zbl 1473.11003 Int. J. Number Theory 15, No. 7, 1463-1468 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11A25 11A63 11N25 PDFBibTeX XMLCite \textit{D. Burek} and \textit{B. Żmija}, Int. J. Number Theory 15, No. 7, 1463--1468 (2019; Zbl 1473.11003) Full Text: DOI arXiv
Pathak, Siddhi S. Distribution and non-vanishing of special values of \(L\)-series attached to Erdős functions. (English) Zbl 1475.11160 Int. J. Number Theory 15, No. 7, 1449-1462 (2019). Reviewer: Jasson Vindas (Gent) MSC: 11M41 11M45 PDFBibTeX XMLCite \textit{S. S. Pathak}, Int. J. Number Theory 15, No. 7, 1449--1462 (2019; Zbl 1475.11160) Full Text: DOI arXiv
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). (English) Zbl 1479.11185 Int. J. Number Theory 15, No. 7, 1437-1447 (2019). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 15, No. 7, 1437--1447 (2019; Zbl 1479.11185) Full Text: DOI arXiv
Akhtari, Shabnam; Vaaler, Jeffrey D. Lower bounds for Mahler measure that depend on the number of monomials. (English) Zbl 1448.11189 Int. J. Number Theory 15, No. 7, 1425-1436 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 PDFBibTeX XMLCite \textit{S. Akhtari} and \textit{J. D. Vaaler}, Int. J. Number Theory 15, No. 7, 1425--1436 (2019; Zbl 1448.11189) Full Text: DOI arXiv
Mahadevaswamy Analytical approach to Ramanujan type and Ramanujan’s modular equations of degree 7. (English) Zbl 1456.11061 Int. J. Number Theory 15, No. 7, 1413-1423 (2019). MSC: 11F20 33C05 PDFBibTeX XMLCite \textit{Mahadevaswamy}, Int. J. Number Theory 15, No. 7, 1413--1423 (2019; Zbl 1456.11061) Full Text: DOI
Lanphier, Dominic Determining cuspforms from critical values of convolution \(L\)-functions and Rankin-Cohen brackets. (English) Zbl 1456.11056 Int. J. Number Theory 15, No. 7, 1403-1412 (2019). MSC: 11F11 11F67 11F25 PDFBibTeX XMLCite \textit{D. Lanphier}, Int. J. Number Theory 15, No. 7, 1403--1412 (2019; Zbl 1456.11056) Full Text: DOI
Nguyen, Dong Quan Ngoc Representation of units in cyclotomic function fields. (English) Zbl 1439.11287 Int. J. Number Theory 15, No. 7, 1385-1401 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R60 11R27 11R58 PDFBibTeX XMLCite \textit{D. Q. N. Nguyen}, Int. J. Number Theory 15, No. 7, 1385--1401 (2019; Zbl 1439.11287) Full Text: DOI arXiv
Sharma, S.; Rana, M. A new approach in interpreting some mock theta functions. (English) Zbl 1416.05033 Int. J. Number Theory 15, No. 7, 1369-1383 (2019). MSC: 05A17 05A19 11P81 PDFBibTeX XMLCite \textit{S. Sharma} and \textit{M. Rana}, Int. J. Number Theory 15, No. 7, 1369--1383 (2019; Zbl 1416.05033) Full Text: DOI
Wang, Chun; Chern, Shane Some \(q\)-transformation formulas and Hecke type identities. (English) Zbl 1423.33026 Int. J. Number Theory 15, No. 7, 1349-1367 (2019). MSC: 33D15 11P84 PDFBibTeX XMLCite \textit{C. Wang} and \textit{S. Chern}, Int. J. Number Theory 15, No. 7, 1349--1367 (2019; Zbl 1423.33026) Full Text: DOI
Kuba, Markus; Panholzer, Alois A note on harmonic number identities, Stirling series and multiple zeta values. (English) Zbl 1465.11182 Int. J. Number Theory 15, No. 7, 1323-1348 (2019). Reviewer: Nils Matthes (Oxford) MSC: 11M32 PDFBibTeX XMLCite \textit{M. Kuba} and \textit{A. Panholzer}, Int. J. Number Theory 15, No. 7, 1323--1348 (2019; Zbl 1465.11182) Full Text: DOI arXiv