Topics in Classical Automorphic Forms (Graduate Studies in Mathematics, V. 17) by Henryk Iwaniec (PDF)

Description

The book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as theta-functions and representations by quadratic forms.

User’s Reviews

Editorial Reviews: Review “An excellent graduate text. The book by Iwaniec provides the graduate student and the researcher wishing to acquire the basics on automorphic forms with a beautifully written and self-contained treatment of the classical modular and automorphic forms, Kloosterman sums, Hecke operators, automorphic L-functions, cusp forms and Eisenstein series, spherical functions, theta functions and convolution L-functions.” — Bulletin of the London Mathematical Society”An excellent place to begin the study of the analytic approach to modular forms … a welcome addition to this growing expository of literature.” — Bulletin of the American Mathematical Society”The author discusses many important topics in the theory of automorphic forms which are rarely seen in the textbooks available on the subject … the presentation of the proofs … is … unusual, and this may give the reader a different flavor of the subject … graduate students will certainly benefit from this book.” — Mathematical Reviews”[T]his is an excellent book, requiring hard work from the reader and giving rich reward for her or his effort.” — Zentralblatt fur Mathematik[T]his is an excellent book, requiring hard work from the reader and giving rich reward for her or his effort. — Zentralblatt für Mathematik

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

⭐I think that this book suits for advanced learners.If you are a beginer on number theory, I recommand N. Koblitz’s “Introduction to Elliptic Curves and Modular Forms”or Rosen’s “A classical introduction to modern number theory”.As a good textbook for automorphic form, I also recommand D. Bump’s”automorphic forms and represenation”. And then this “Topics in Classicalautomorphic forms” is good for you.

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