书目名称 | Introduction to Applications of Modular Forms |
副标题 | Computational Aspect |
编辑 | Zafer Selcuk Aygin |
视频video | http://file.papertrans.cn/474/473413/473413.mp4 |
概述 | Describes the theory of modular forms and its applications in number theoretic problems.Provides a resource for people who study or work on the computational aspects of classical modular forms.Include |
丛书名称 | Synthesis Lectures on Mathematics & Statistics |
图书封面 |  |
描述 | This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of different types of special functions. A detailed account of recent applications of modular forms in number theory with a focus on using computer algorithms is provided. Computer algorithms are included for each presented application to help readers put the theory in context and make new conjectures. . |
出版日期 | Book 2023 |
关键词 | Modular Forms; q-series; Eisenstein Series; Dedekind eta Function; Partitions; Quadratic Forms; Siegel’s F |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-32629-5 |
isbn_softcover | 978-3-031-32631-8 |
isbn_ebook | 978-3-031-32629-5Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
issn_series | 1938-1743 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |