One major theme of this paper concerns the expansion of modular forms and functions in terms of fractional (Puiseux) series. This theme is connected with another major theme, holonomic functions and sequences. With particular attention to algorithmic aspects, we study various connections between ...
Modular Forms and Functions 2025 pdf epub mobi 电子书 图书描述 This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves. Modular forms are generalisations of functions like...
Rankin, Modular forms and functions, and Tom M. Apostol, Modular functions and Dirichlet series in number theory Thesis (Ph. D.)--University of Maryland, 1982. Vita. Includes bibliographical references (leaves 127-128). M Knopp - 《Bulletin of the American Mathematical Society》 被引量: 0...
Modular Functions in Analytic Number Theory. New York: Chelsea, 1993.Koblitz, N. Introduction to Elliptic Curves and Modular Forms. New York: Springer-Verlag, 1993.Rankin, R. A. Modular Forms and Functions. Cambridge, England: Cambridge University Press, 1977.Sarnack, P. Some Applications of ...
Elliptic Curves, Modular Forms, and Their L-functions 2025 pdf epub mobi 用户评价 评分☆☆☆ 一本薄书介绍三个大对象,必须是导引书,但导引的不错。 评分☆☆☆ 最有用的部分是介绍Sage的附录 评分☆☆☆ 最有用的部分是介绍Sage的附录 评分☆☆☆ 最...
Its mission is to chart the landscape of L-functions and modular forms in a systematic, comprehensive, and concrete fashion. This involves developing their theory, creating and improving algorithms for computing and classifying them, and hence discovering new properties of these functions, and testing...
(such as number fields, elliptic curves, and abelian varieties) with modular and automorphic forms via Galois representations and Lfunctions (the most basic of which is the Riemann zeta function). The LMFDB catalogs these objects and the ways in which they link to one another, as well as ...
Modular formsHarmonic Maass formsWe generalize the recent work of Viazovska by constructing infinite families of Schwartz functions, suitable for Cohn–Elkies style linear programming bounds, using quasi-modular and modular...doi:10.1007/s00013-020-01459-yLarry Rolen...
This is the code for theL-functions and modular forms database website. Wiki Development Getting Started-- cheat sheet for setting up lmfdb Development Guide-- organizing development Style Guide-- how things on LMFDB pages should be styled to give the web site a coherent look ...
The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the ... ZAGIER,DON - 数理解析研究所講究録 被引量: 32发表: 1993年 Nonvanishing of L-Functions of Cusp Forms Inside the Critical Strip A theorem of W. ...