Numerical study of refined conjectures of the BSD type

Autor:	Llerena-Córdova, Juan-Pablo
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Numerical Analysis 11Y40 (Primary)
Druh dokumentu:	Working Paper
Popis:	In 1987, Mazur and Tate stated conjectures which, in some cases, resemble the classical Birch-Swinnerton-Dyer conjecture and its $p$-adic analog. We study experimentally three conjectures stated by Mazur and Tate using SageMath. Our findings indicate discrepancies in some of the original statements of some of the conjectures presented by Mazur and Tate. However, a slight modification on the statement of these conjectures does appear to hold. Comment: 15 pages. For associated code, see: https://github.com/JpLlerena/Numerical_study_of_refined_conjectures_of_the_BSD-type
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.17703 Zobrazit plný text záznamu View this record from Arxiv