smoothed version, we are able to establish a Central Limit Theorem for much smaller families of modular forms, and we succeed in proving a theorem of this type for families of elliptic curves under the Riemann Hypothesis for $L$-functions associated to Hecke eigenforms for the full modular group.doi:10.1016/j.jmaa.2019....
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Graduate Texts in Mathematics(共231册),这套丛书还有 《Matrix Analysis (Graduate Texts in Mathematics)》《Random Walks on Infinite Groups》《Ergodic Theory》《General Relativity for Mathematicians》《Weakly Differentiable Functions》等。 喜欢读"Introduction to Elliptic Curves and Modular Forms (Graduate ...
The two subjects - elliptic curves and modular forms - come together in Eichler-Shimura theory, which constructs elliptic curves out of modular form... (展开全部) 丛书信息 ··· Mathematical Notes(共24册),这套丛书还有 《D-Modules and Spherical Representations》《The Classical and Quantum ...
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...
Iwasawa Theory of Elliptic Curves with Complex Multiplication. p-Adic L Functions (1987) H.M. Farkas et al. Theta Constants, Riemann Surfaces and the Modular Group (2001) N. Koblitz Introduction to Elliptic Curves and Modular Forms (1984) There are more references available in the full text ...
N. D. Elkies. Elliptic and modular curves over finite fields and related computational issues. InComputational perspectives on number theory (Chicago, IL, 1995), volume 7 ofAMS/IP Stud. Adv. Math., pages 21–76. Amer. Math. Soc., Providence, RI, 1998. ...
This book is about elliptic curves and modular functions, two topics that are intimately related in both accidental and essential ways. As emphasized by André Weil in his magisterial historical introduction to contemporary number theory [W], the arithmetic study of elliptic curves is, in spite of...
We study the simultaneous reductions at several supersingular primes of elliptic curves with complex multiplication. We show – under additional congruence assumptions on the CM order – that the reductions are surjective (and even become equidistributed) on the product of supersingular loci when the ...
《Advanced Topics in the Arithmetic of Elliptic Curves》作者:Springer,出版社:1999年9月,ISBN:。Thisbookcontinuesthetreatmentofthearithmetictheory