Hecke’s Theory of Modular Forms and Dirichlet Series (Monographs in Number Theory) by Bruce C. Berndt (PDF)

Description

In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936 when Hecke published his original papers. This book is an amplified and up-to-date version of the former author’s lectures at the University of Illinois at Urbana-Champaign, based on Hecke’s notes. Providing many details omitted from Hecke’s notes, it includes various new and important developments in recent years. In particular, several generalizations and analogues of the original Hecke theory are briefly described in this concise volume.

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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is an excellent book. When I think of Berndt I automatically compare any of his works to his book on “Gauss and Jacobi Sums”–which is my all-time second favorite math book. This book is a few rungs below the latter, but well-worth your attention.charlie sanders

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