Klevdal, Christian Recognizing Galois representations of K3 surfaces. (English) Zbl 1457.11096 Res. Number Theory 5, No. 1, Paper No. 16, 12 p. (2019). MSC: 11G35 11F80 PDFBibTeX XMLCite \textit{C. Klevdal}, Res. Number Theory 5, No. 1, Paper No. 16, 12 p. (2019; Zbl 1457.11096) Full Text: DOI arXiv
Bennett, Michael A.; Patel, Vandita; Siksek, Samir Shifted powers in Lucas-Lehmer sequences. (English) Zbl 1435.11067 Res. Number Theory 5, No. 1, Paper No. 15, 27 p. (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11F80 11F41 PDFBibTeX XMLCite \textit{M. A. Bennett} et al., Res. Number Theory 5, No. 1, Paper No. 15, 27 p. (2019; Zbl 1435.11067) Full Text: DOI arXiv
Khaochim, Narissara; Masri, Riad; Tsai, Wei-Lun An effective bound for the partition function. (English) Zbl 1451.11112 Res. Number Theory 5, No. 1, Paper No. 14, 25 p. (2019). Reviewer: Nian Hong Zhou (Shanghai) MSC: 11P82 PDFBibTeX XMLCite \textit{N. Khaochim} et al., Res. Number Theory 5, No. 1, Paper No. 14, 25 p. (2019; Zbl 1451.11112) Full Text: DOI
Aoki, Miho; Kida, Masanari On the Laxton group. (English) Zbl 1435.11029 Res. Number Theory 5, No. 1, Paper No. 13, 22 p. (2019). Reviewer: Mahadi Ddamulira (Graz) MSC: 11B37 11B39 11R11 PDFBibTeX XMLCite \textit{M. Aoki} and \textit{M. Kida}, Res. Number Theory 5, No. 1, Paper No. 13, 22 p. (2019; Zbl 1435.11029) Full Text: DOI arXiv
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons arising from special families of cyclic covers of the projective line. (English) Zbl 1460.11088 Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019). MSC: 11G18 11G20 14G10 14G35 14H10 14H30 14H40 PDFBibTeX XMLCite \textit{W. Li} et al., Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019; Zbl 1460.11088) Full Text: DOI arXiv Link
Schembri, Ciaran Examples of genuine QM abelian surfaces which are modular. (English) Zbl 1456.11069 Res. Number Theory 5, No. 1, Paper No. 11, 12 p. (2019). MSC: 11F32 11G10 11F03 11F80 PDFBibTeX XMLCite \textit{C. Schembri}, Res. Number Theory 5, No. 1, Paper No. 11, 12 p. (2019; Zbl 1456.11069) Full Text: DOI arXiv
Rustom, Nadim Congruences modulo prime powers of Hecke eigenvalues in level 1. (English) Zbl 1457.11047 Res. Number Theory 5, No. 1, Paper No. 10, 27 p. (2019). MSC: 11F33 11F80 PDFBibTeX XMLCite \textit{N. Rustom}, Res. Number Theory 5, No. 1, Paper No. 10, 27 p. (2019; Zbl 1457.11047) Full Text: DOI arXiv Link
Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle Modular invariants for genus 3 hyperelliptic curves. (English) Zbl 1420.14063 Res. Number Theory 5, No. 1, Paper No. 9, 22 p. (2019). Reviewer: Shaul Zemel (Jerusalem) MSC: 14H42 11F46 11G15 11E76 32G20 14K25 PDFBibTeX XMLCite \textit{S. Ionica} et al., Res. Number Theory 5, No. 1, Paper No. 9, 22 p. (2019; Zbl 1420.14063) Full Text: DOI arXiv Link
Matsusaka, Toshiki Traces of CM values and cycle integrals of polyharmonic Maass forms. (English) Zbl 1456.11076 Res. Number Theory 5, No. 1, Paper No. 8, 25 p. (2019). MSC: 11F37 11F12 PDFBibTeX XMLCite \textit{T. Matsusaka}, Res. Number Theory 5, No. 1, Paper No. 8, 25 p. (2019; Zbl 1456.11076) Full Text: DOI arXiv
Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry Characterization of global fields by Dirichlet \(L\)-series. (English) Zbl 1460.11137 Res. Number Theory 5, No. 1, Paper No. 7, 15 p. (2019). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11R42 11R56 14H30 PDFBibTeX XMLCite \textit{G. Cornelissen} et al., Res. Number Theory 5, No. 1, Paper No. 7, 15 p. (2019; Zbl 1460.11137) Full Text: DOI arXiv
Grosse-Klönne, Elmar A note on multivariable \((\varphi ,\Gamma )\)-modules. (English) Zbl 1472.11167 Res. Number Theory 5, No. 1, Paper No. 6, 9 p. (2019). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 PDFBibTeX XMLCite \textit{E. Grosse-Klönne}, Res. Number Theory 5, No. 1, Paper No. 6, 9 p. (2019; Zbl 1472.11167) Full Text: DOI arXiv
Gomez, Alexis; McCarthy, Dermot; Young, Dylan Apéry-like numbers and families of newforms with complex multiplication. (English) Zbl 1456.11053 Res. Number Theory 5, No. 1, Paper No. 5, 12 p. (2019). MSC: 11F11 11B83 11A07 PDFBibTeX XMLCite \textit{A. Gomez} et al., Res. Number Theory 5, No. 1, Paper No. 5, 12 p. (2019; Zbl 1456.11053) Full Text: DOI arXiv
Sweeting, Naomi; Woo, Katharine Formulas for Chebotarev densities of Galois extensions of number fields. (English) Zbl 1459.11218 Res. Number Theory 5, No. 1, Paper No. 4, 13 p. (2019). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R45 11R44 11N37 PDFBibTeX XMLCite \textit{N. Sweeting} and \textit{K. Woo}, Res. Number Theory 5, No. 1, Paper No. 4, 13 p. (2019; Zbl 1459.11218) Full Text: DOI arXiv
Goswami, Ankush A \(q\)-analogue for Euler’s evaluations of the Riemann zeta function. (English) Zbl 1459.11050 Res. Number Theory 5, No. 1, Paper No. 3, 11 p. (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11B65 11B73 11M06 PDFBibTeX XMLCite \textit{A. Goswami}, Res. Number Theory 5, No. 1, Paper No. 3, 11 p. (2019; Zbl 1459.11050) Full Text: DOI arXiv
Hill, Richard M. Non-residually finite extensions of arithmetic groups. (English) Zbl 1462.11048 Res. Number Theory 5, No. 1, Paper No. 2, 27 p. (2019). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F75 11F06 PDFBibTeX XMLCite \textit{R. M. Hill}, Res. Number Theory 5, No. 1, Paper No. 2, 27 p. (2019; Zbl 1462.11048) Full Text: DOI arXiv Link
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