Kerr, Bryce; Shparlinski, Igor E. Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. (English) Zbl 1471.11251 Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020). MSC: 11N37 11L07 PDFBibTeX XMLCite \textit{B. Kerr} and \textit{I. E. Shparlinski}, Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020; Zbl 1471.11251) Full Text: DOI arXiv
Males, Joshua The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory. (English) Zbl 1453.11061 Res. Number Theory 6, No. 1, Paper No. 15, 14 p. (2020); corrigendum ibid. 7, No. 2, Paper No. 36, 2 p. (2021). MSC: 11F50 11F20 11P55 PDFBibTeX XMLCite \textit{J. Males}, Res. Number Theory 6, No. 1, Paper No. 15, 14 p. (2020; Zbl 1453.11061) Full Text: DOI arXiv
Gao, Peng; Zhao, Liangyi Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\). (English) Zbl 1487.11080 Res. Number Theory 6, No. 1, Paper No. 14, 22 p. (2020). Reviewer: Maciej Radziejewski (Poznań) MSC: 11L40 11R16 11R42 PDFBibTeX XMLCite \textit{P. Gao} and \textit{L. Zhao}, Res. Number Theory 6, No. 1, Paper No. 14, 22 p. (2020; Zbl 1487.11080) Full Text: DOI arXiv
Beckwith, Olivia Class number divisibility for imaginary quadratic fields. (English) Zbl 1448.11200 Res. Number Theory 6, No. 1, Paper No. 13, 12 p. (2020). Reviewer: Ayberk Zeytin (Istanbul) MSC: 11R29 11G05 11G40 PDFBibTeX XMLCite \textit{O. Beckwith}, Res. Number Theory 6, No. 1, Paper No. 13, 12 p. (2020; Zbl 1448.11200) Full Text: DOI arXiv
Tóth, László; Zhai, Wenguang On the average number of cyclic subgroups of the groups \(\mathbb Z_{n_1} \times\mathbb Z_{n_2}\times \mathbb Z_{n_3}\) with \(n_1,n_2,n_3\le x\). (English) Zbl 1452.11116 Res. Number Theory 6, No. 1, Paper No. 12, 33 p. (2020). Reviewer: István Mező (Nanjing) MSC: 11N45 PDFBibTeX XMLCite \textit{L. Tóth} and \textit{W. Zhai}, Res. Number Theory 6, No. 1, Paper No. 12, 33 p. (2020; Zbl 1452.11116) Full Text: DOI
Havens, Christopher; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Linear fractional transformations and nonlinear leaping convergents of some continued fractions. (English) Zbl 1461.11019 Res. Number Theory 6, No. 1, Paper No. 11, 17 p. (2020). MSC: 11A55 PDFBibTeX XMLCite \textit{C. Havens} et al., Res. Number Theory 6, No. 1, Paper No. 11, 17 p. (2020; Zbl 1461.11019) Full Text: DOI arXiv
Alberts, Brandon The weak form of Malle’s conjecture and solvable groups. (English) Zbl 1478.11133 Res. Number Theory 6, No. 1, Paper No. 10, 23 p. (2020). MSC: 11R21 11N45 11R37 PDFBibTeX XMLCite \textit{B. Alberts}, Res. Number Theory 6, No. 1, Paper No. 10, 23 p. (2020; Zbl 1478.11133) Full Text: DOI arXiv
Ibukiyama, Tomoyoshi Graded rings of modular forms of rational weights. (English) Zbl 1461.11064 Res. Number Theory 6, No. 1, Paper No. 8, 13 p. (2020). MSC: 11F03 11F11 11F27 PDFBibTeX XMLCite \textit{T. Ibukiyama}, Res. Number Theory 6, No. 1, Paper No. 8, 13 p. (2020; Zbl 1461.11064) Full Text: DOI
Baier, Stephan; Dey, Pallab Kanti Prime powers dividing products of consecutive integer values of \(x^{2^n}+1\). (English) Zbl 1479.11025 Res. Number Theory 6, No. 1, Paper No. 7, 12 p. (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11A41 11B83 11C08 PDFBibTeX XMLCite \textit{S. Baier} and \textit{P. K. Dey}, Res. Number Theory 6, No. 1, Paper No. 7, 12 p. (2020; Zbl 1479.11025) Full Text: DOI arXiv
Miyazaki, Tadashi; Sato, Fumihiro; Sugiyama, Kazunari; Ueno, Takahiko Converse theorems for automorphic distributions and Maass forms of level \(N\). (English) Zbl 1465.11116 Res. Number Theory 6, No. 1, Paper No. 6, 59 p. (2020). MSC: 11F37 11F66 11S90 PDFBibTeX XMLCite \textit{T. Miyazaki} et al., Res. Number Theory 6, No. 1, Paper No. 6, 59 p. (2020; Zbl 1465.11116) Full Text: DOI arXiv
Petta Mestrige, Shashika Congruences modulo powers of 11 for some eta-quotients. (English) Zbl 1454.11186 Res. Number Theory 6, No. 1, Paper No. 5, 10 p. (2020). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{S. Petta Mestrige}, Res. Number Theory 6, No. 1, Paper No. 5, 10 p. (2020; Zbl 1454.11186) Full Text: DOI arXiv
Heim, Bernhard; Neuhauser, Markus On the reciprocal of Klein’s absolute \(j\)-invariant and sign changes. (English) Zbl 1467.11045 Res. Number Theory 6, No. 1, Paper No. 4, 8 p. (2020). MSC: 11F30 26C10 05A17 11F22 PDFBibTeX XMLCite \textit{B. Heim} and \textit{M. Neuhauser}, Res. Number Theory 6, No. 1, Paper No. 4, 8 p. (2020; Zbl 1467.11045) Full Text: DOI
Hajdu, Lajos On special extrema of polynomials with applications to Diophantine problems. (English) Zbl 1450.11019 Res. Number Theory 6, No. 1, Paper No. 3, 14 p. (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11C08 11D41 11B39 PDFBibTeX XMLCite \textit{L. Hajdu}, Res. Number Theory 6, No. 1, Paper No. 3, 14 p. (2020; Zbl 1450.11019) Full Text: DOI
Lin, Alice; McSpirit, Eleanor; Vishnu, Adit Algebraic relations between partition functions and the \(j\)-function. (English) Zbl 1467.11048 Res. Number Theory 6, No. 1, Paper No. 2, 15 p. (2020). MSC: 11F37 11F03 11P81 11P82 PDFBibTeX XMLCite \textit{A. Lin} et al., Res. Number Theory 6, No. 1, Paper No. 2, 15 p. (2020; Zbl 1467.11048) Full Text: DOI arXiv
Bell, Renee; Blakestad, Clifford; Cojocaru, Alina Carmen; Cowan, Alexander; Jones, Nathan; Matei, Vlad; Smith, Geoffrey; Vogt, Isabel Constants in Titchmarsh divisor problems for elliptic curves. (English) Zbl 1434.11199 Res. Number Theory 6, No. 1, Paper No. 1, 24 p. (2020). MSC: 11N37 11G05 11G20 11A25 PDFBibTeX XMLCite \textit{R. Bell} et al., Res. Number Theory 6, No. 1, Paper No. 1, 24 p. (2020; Zbl 1434.11199) Full Text: DOI arXiv
Gillman, Nate; Kural, Michael; Pascadi, Alexandru; Peng, Junyao; Sah, Ashwin Patterns of primes in the Sato-Tate conjecture. (English) Zbl 1456.11174 Res. Number Theory 6, No. 1, Paper No. 9, 30 p. (2020). MSC: 11N05 11F66 11G05 PDFBibTeX XMLCite \textit{N. Gillman} et al., Res. Number Theory 6, No. 1, Paper No. 9, 30 p. (2019; Zbl 1456.11174) Full Text: DOI arXiv