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Introduction to Applications of Modular Forms : Computational Aspects. 2023 ed..
・ISBN 978-3-031-32628-8 hard EUR 79.99
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| 著者・編者 | Aygin, Zafer Selcuk, |
|---|---|
| シリーズ | Synthesis Lectures on Mathematics & Statistics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 169 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13012＞ |
解説
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.