描述classical modular forms的若干书籍,除了Miyake的这本书, 另外还有 Iwaniec, Topics in classical automorphic forms; Diamond and Shurman, A First Course in Modular Forms 结合Miyake的这本一起说下1. Diamond and Shurman, A First Course in Modular Forms 前半部分算是一个标准的first course,详细描述了...
This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents...
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic ...
This book began when the second author typed notes for the rst author´s 1996 Berkeley course on modular forms with a view toward explaining some of the key ideas in Wiles´s celebrated proof of Fermat´s Last Theorem. The second author then expanded and rewrote the notes while teaching...
This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The... Haruzo - World Scientific 被引量: 88发表: 2012年 Periods of Hilbert modular forms and rational points on elliptic curves. Let E be ...
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Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern Mathematics, as volumes 186 and 240.)The two main topics of this book are ...
The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on ...
This book introduces the theory of modular forms with an eye toward the Modularity Theorem. All rational elliptic curves arise from modular forms. The topics covered include: elliptic curves as complex tori and as algebraic curves, modular curves as Riemann surfaces and as algebraic curves, Hecke ...
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the mod...