Frechette, Sharon; Swisher, Holly; Tu, Fang-Ting A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields. (English) Zbl 1462.33011 Res. Number Theory 4, No. 2, Paper No. 27, 27 p. (2018). Reviewer: C. L. Parihar (Indore) MSC: 33E50 33C05 33C70 PDFBibTeX XMLCite \textit{S. Frechette} et al., Res. Number Theory 4, No. 2, Paper No. 27, 27 p. (2018; Zbl 1462.33011) Full Text: DOI arXiv
Creutz, Brendan; Viray, Bianca; Voloch, José Felipe The \(d\)-primary Brauer-Manin obstruction for curves. (English) Zbl 1439.14071 Res. Number Theory 4, No. 2, Paper No. 26, 16 p. (2018). MSC: 14F22 11G10 14G12 PDFBibTeX XMLCite \textit{B. Creutz} et al., Res. Number Theory 4, No. 2, Paper No. 26, 16 p. (2018; Zbl 1439.14071) Full Text: DOI arXiv
Subburam, Sivanarayanapandian On the Diophantine equation \(la^x + mb^y = nc^z\). (English) Zbl 1441.11066 Res. Number Theory 4, No. 2, Paper No. 25, 3 p. (2018). MSC: 11D61 11J86 PDFBibTeX XMLCite \textit{S. Subburam}, Res. Number Theory 4, No. 2, Paper No. 25, 3 p. (2018; Zbl 1441.11066) Full Text: DOI
Ţurcaş, George C. On Fermat’s equation over some quadratic imaginary number fields. (English) Zbl 1444.11050 Res. Number Theory 4, No. 2, Paper No. 24, 16 p. (2018). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D41 11F03 11F80 11F75 PDFBibTeX XMLCite \textit{G. C. Ţurcaş}, Res. Number Theory 4, No. 2, Paper No. 24, 16 p. (2018; Zbl 1444.11050) Full Text: DOI arXiv Link
Vonk, Jan Modular eigenforms at the boundary of weight space. (English) Zbl 1441.11101 Res. Number Theory 4, No. 2, Paper No. 23, 13 p. (2018). MSC: 11F33 11G18 11F85 PDFBibTeX XMLCite \textit{J. Vonk}, Res. Number Theory 4, No. 2, Paper No. 23, 13 p. (2018; Zbl 1441.11101) Full Text: DOI
Asakura, Masanori Regulators of \(K_2\) of hypergeometric fibrations. (English) Zbl 1468.14018 Res. Number Theory 4, No. 2, Paper No. 22, 25 p. (2018). MSC: 14D07 19F27 33C20 11G15 14K22 PDFBibTeX XMLCite \textit{M. Asakura}, Res. Number Theory 4, No. 2, Paper No. 22, 25 p. (2018; Zbl 1468.14018) Full Text: DOI arXiv
Romano, Beth; Thorne, Jack A. On the arithmetic of simple singularities of type \(E\). (English) Zbl 1441.14080 Res. Number Theory 4, No. 2, Paper No. 21, 34 p. (2018). MSC: 14G05 14B05 14G25 14H10 14H45 PDFBibTeX XMLCite \textit{B. Romano} and \textit{J. A. Thorne}, Res. Number Theory 4, No. 2, Paper No. 21, 34 p. (2018; Zbl 1441.14080) Full Text: DOI arXiv
Alwaise, Ethan An algorithm for numerically inverting the modular \(j\)-function. (English) Zbl 1441.11080 Res. Number Theory 4, No. 2, Paper No. 20, 6 p. (2018). MSC: 11F03 11F37 11F22 PDFBibTeX XMLCite \textit{E. Alwaise}, Res. Number Theory 4, No. 2, Paper No. 20, 6 p. (2018; Zbl 1441.11080) Full Text: DOI arXiv
Köck, Bernhard; Tait, Joseph On the de-Rham cohomology of hyperelliptic curves. (English) Zbl 1470.14044 Res. Number Theory 4, No. 2, Paper No. 19, 17 p. (2018). MSC: 14F40 14G17 14H37 PDFBibTeX XMLCite \textit{B. Köck} and \textit{J. Tait}, Res. Number Theory 4, No. 2, Paper No. 19, 17 p. (2018; Zbl 1470.14044) Full Text: DOI arXiv Link
Lee, Seewoo Quantum modular forms and Hecke operators. (English) Zbl 1441.11139 Res. Number Theory 4, No. 2, Paper No. 18, 13 p. (2018). MSC: 11F99 11F25 PDFBibTeX XMLCite \textit{S. Lee}, Res. Number Theory 4, No. 2, Paper No. 18, 13 p. (2018; Zbl 1441.11139) Full Text: DOI arXiv
Candelori, Luca; Hartland, Tucker; Marks, Christopher; Yépez, Diego Indecomposable vector-valued modular forms and periods of modular curves. (English) Zbl 1444.11065 Res. Number Theory 4, No. 2, Paper No. 17, 24 p. (2018). MSC: 11F23 11F41 11F50 PDFBibTeX XMLCite \textit{L. Candelori} et al., Res. Number Theory 4, No. 2, Paper No. 17, 24 p. (2018; Zbl 1444.11065) Full Text: DOI arXiv
Lalín, Matilde; Mittal, Tushant The Mahler measure for arbitrary tori. (English) Zbl 1454.11195 Res. Number Theory 4, No. 2, Paper No. 16, 23 p. (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11G05 11F66 19F27 33E05 PDFBibTeX XMLCite \textit{M. Lalín} and \textit{T. Mittal}, Res. Number Theory 4, No. 2, Paper No. 16, 23 p. (2018; Zbl 1454.11195) Full Text: DOI arXiv
Alweiss, Ryan; Luo, Sammy Bounded gaps between primes in short intervals. (English) Zbl 1441.11239 Res. Number Theory 4, No. 2, Paper No. 15, 27 p. (2018). MSC: 11N05 11N56 11N25 PDFBibTeX XMLCite \textit{R. Alweiss} and \textit{S. Luo}, Res. Number Theory 4, No. 2, Paper No. 15, 27 p. (2018; Zbl 1441.11239) Full Text: DOI arXiv
Chan, Wai Kiu; Marino, Alicia A finiteness theorem for positive definite strictly \(n\)-regular quadratic forms. (English) Zbl 1444.11054 Res. Number Theory 4, No. 2, Paper No. 14, 14 p. (2018). MSC: 11E12 11E20 PDFBibTeX XMLCite \textit{W. K. Chan} and \textit{A. Marino}, Res. Number Theory 4, No. 2, Paper No. 14, 14 p. (2018; Zbl 1444.11054) Full Text: DOI arXiv
Kaushik, Surjeet; Kumar, Narasimha; Tanabe, Naomi Equidistribution of signs for Hilbert modular forms of half-integral weight. (English) Zbl 1441.11105 Res. Number Theory 4, No. 2, Paper No. 13, 10 p. (2018). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11F03 11F41 PDFBibTeX XMLCite \textit{S. Kaushik} et al., Res. Number Theory 4, No. 2, Paper No. 13, 10 p. (2018; Zbl 1441.11105) Full Text: DOI arXiv Link