The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.
This is a fantastic book written by one of the leaders in the field. Aimed at advanced graduate students and researchers, it leads them very quickly, and with a remarkable economy of means, to exciting topic at the forefront of the subject, some of which were developped by the author himself and are presented in book form for the first time. The material developped in this book provides fertile ground for new research. Highly recommended!
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