Costa, Edgar; Harvey, David; Sutherland, Andrew V. Counting points on smooth plane quartics. (English) Zbl 1507.11058 Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023). Reviewer: István Gaál (Debrecen) MSC: 11G40 11G20 11Y16 14G10 PDFBibTeX XMLCite \textit{E. Costa} et al., Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023; Zbl 1507.11058) Full Text: DOI arXiv
Tengely, Szabolcs; Ulas, Maciej Diophantine problems related to cyclic cubic and quartic fields. (English) Zbl 1508.11105 J. Number Theory 240, 656-684 (2022). Reviewer: Yong Zhang (Changsha) MSC: 11R16 11D25 11R27 11R29 PDFBibTeX XMLCite \textit{S. Tengely} and \textit{M. Ulas}, J. Number Theory 240, 656--684 (2022; Zbl 1508.11105) Full Text: DOI arXiv
Bouw, Irene; Coppola, Nirvana; Kılıçer, Pınar; Kunzweiler, Sabrina; García, Elisa Lorenzo; Somoza, Anna Reduction types of genus-3 curves in a special stratum of their moduli space. (English) Zbl 1506.14058 Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 115-162 (2021). Reviewer: Scott Nollet (Fort Worth) MSC: 14H10 14H50 14H25 11G20 14Q05 PDFBibTeX XMLCite \textit{I. Bouw} et al., Assoc. Women Math. Ser. 24, 115--162 (2021; Zbl 1506.14058) Full Text: DOI arXiv
Barquero-Sanchez, Adrian; Mantilla-Soler, Guillermo; Ryan, Nathan C. Theta series and number fields: theorems and experiments. (English) Zbl 1476.11075 Ramanujan J. 56, No. 2, 613-630 (2021). MSC: 11F27 11E12 11E76 11R16 PDFBibTeX XMLCite \textit{A. Barquero-Sanchez} et al., Ramanujan J. 56, No. 2, 613--630 (2021; Zbl 1476.11075) Full Text: DOI arXiv
Tsang, Cindy; Xiao, Stanley Yao The number of quartic \(D_4\)-fields with monogenic cubic resolvent ordered by conductor. (English) Zbl 1466.11080 Trans. Am. Math. Soc. 374, No. 3, 1987-2033 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11E76 11G05 11N45 11R04 11R45 PDFBibTeX XMLCite \textit{C. Tsang} and \textit{S. Y. Xiao}, Trans. Am. Math. Soc. 374, No. 3, 1987--2033 (2021; Zbl 1466.11080) Full Text: DOI arXiv
Zhang, Yong; Shamsi Zargar, Arman Integral triangles and perpendicular quadrilateral pairs with a common area and a common perimeter. (English) Zbl 1473.11125 Funct. Approximatio, Comment. Math. 63, No. 2, 165-180 (2020). MSC: 11G05 11D25 11D72 51M05 51M25 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Funct. Approximatio, Comment. Math. 63, No. 2, 165--180 (2020; Zbl 1473.11125) Full Text: DOI
Ishitsuka, Yasuhiro; Ito, Tetsushi; Ohshita, Tatsuya; Taniguchi, Takashi; Uchida, Yukihiro The local-global property for bitangents of plane quartics. (English) Zbl 1448.14023 JSIAM Lett. 12, 41-44 (2020). MSC: 14H25 14J20 14J42 11G35 PDFBibTeX XMLCite \textit{Y. Ishitsuka} et al., JSIAM Lett. 12, 41--44 (2020; Zbl 1448.14023) Full Text: DOI arXiv
Ishitsuka, Yasuhiro; Ito, Tetsushi; Ohshita, Tatsuya Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic. (English) Zbl 1491.11065 Int. J. Number Theory 16, No. 4, 881-905 (2020). MSC: 11G25 11D41 11F80 11G10 14H50 14K15 14K30 PDFBibTeX XMLCite \textit{Y. Ishitsuka} et al., Int. J. Number Theory 16, No. 4, 881--905 (2020; Zbl 1491.11065) Full Text: DOI arXiv
Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). (English) Zbl 1451.11020 J. Number Theory 208, 418-440 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D41 11G30 11G05 11J86 PDFBibTeX XMLCite \textit{H. R. Gallegos-Ruiz} et al., J. Number Theory 208, 418--440 (2020; Zbl 1451.11020) Full Text: DOI arXiv
Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. A family of monogenic \(S_4\) quartic fields arising from elliptic curves. (English) Zbl 1410.11050 J. Number Theory 197, 361-382 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 11R16 PDFBibTeX XMLCite \textit{T. A. Gassert} et al., J. Number Theory 197, 361--382 (2019; Zbl 1410.11050) Full Text: DOI arXiv
Smith, Hanson Two families of monogenic \(S_4\) quartic number fields. (English) Zbl 1417.11150 Acta Arith. 186, No. 3, 257-271 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 11R16 PDFBibTeX XMLCite \textit{H. Smith}, Acta Arith. 186, No. 3, 257--271 (2018; Zbl 1417.11150) Full Text: DOI arXiv
Kovács, Tünde; Rábai, Zsolt Equal values of pyramidal numbers. (English) Zbl 1446.11051 Indag. Math., New Ser. 29, No. 5, 1157-1166 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{T. Kovács} and \textit{Z. Rábai}, Indag. Math., New Ser. 29, No. 5, 1157--1166 (2018; Zbl 1446.11051) Full Text: DOI Link
Cass, Robert The Chowla-Selberg formula for quartic abelian CM fields. (English) Zbl 1357.11052 Proc. Am. Math. Soc. 144, No. 7, 2753-2769 (2016). Reviewer: Gabriele Nebe (Aachen) MSC: 11F41 11R42 PDFBibTeX XMLCite \textit{R. Cass}, Proc. Am. Math. Soc. 144, No. 7, 2753--2769 (2016; Zbl 1357.11052) Full Text: DOI Link
Burhanuddin, Iftikhar A.; Huang, Ming-Deh A. On the equation \(y^2 = x^3 - pqx\). (English) Zbl 1423.11106 J. Numbers 2014, Article ID 825634, 5 p. (2014). MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{I. A. Burhanuddin} and \textit{M.-D. A. Huang}, J. Numbers 2014, Article ID 825634, 5 p. (2014; Zbl 1423.11106) Full Text: DOI
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker On linear combinations of units with bounded coefficients and double-base digit expansions. (English) Zbl 1325.11119 Monatsh. Math. 171, No. 3-4, 377-394 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R27 11A63 11A67 11R04 11R16 11T99 11Y16 PDFBibTeX XMLCite \textit{D. Krenn} et al., Monatsh. Math. 171, No. 3--4, 377--394 (2013; Zbl 1325.11119) Full Text: DOI arXiv
Najman, Filip Exceptional elliptic curves over quartic fields. (English) Zbl 1295.11064 Int. J. Number Theory 8, No. 5, 1231-1246 (2012). MSC: 11G05 11G18 11R16 14G25 14H52 PDFBibTeX XMLCite \textit{F. Najman}, Int. J. Number Theory 8, No. 5, 1231--1246 (2012; Zbl 1295.11064) Full Text: DOI arXiv
Alvarado, Alejandra Arithmetic progressions on quartic elliptic curves. (English) Zbl 1224.11011 Ann. Math. Inform. 37, 3-6 (2010). MSC: 11B25 11G05 11D25 PDFBibTeX XMLCite \textit{A. Alvarado}, Ann. Math. Inform. 37, 3--6 (2010; Zbl 1224.11011) Full Text: Link
Naskrȩcki, Bartosz Infinite family of elliptic curves of rank at least 4. (English) Zbl 1258.11063 Involve 3, No. 3, 297-316 (2010). Reviewer: Jordi Guárdia (Vilanova i la Geltrú) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{B. Naskrȩcki}, Involve 3, No. 3, 297--316 (2010; Zbl 1258.11063) Full Text: DOI arXiv
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark Average ranks of elliptic curves: tension between data and conjecture. (English) Zbl 1190.11032 Bull. Am. Math. Soc., New Ser. 44, No. 2, 233-254 (2007). MSC: 11G05 11-02 11D25 11Y35 11Y40 PDFBibTeX XMLCite \textit{B. Bektemirov} et al., Bull. Am. Math. Soc., New Ser. 44, No. 2, 233--254 (2007; Zbl 1190.11032) Full Text: DOI