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.
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"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
"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
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4 of 5 people found the following review helpful:
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For advanced Learners!,
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This review is from: Topics in Classical Automorphic Forms (Graduate Studies in Mathematics, V. 17) (Hardcover)
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 Classical automorphic forms" is good for you.
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Inside This Book
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First Sentence:
We begin by giving a glimpse of how automorphic forms emerged on the hyperbolic plane as descendants of those living on flat spaces. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hecke L-functions, Dirichlet L-functions, Power-moments of Kloosterman New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We begin by giving a glimpse of how automorphic forms emerged on the hyperbolic plane as descendants of those living on flat spaces. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hecke L-functions, Dirichlet L-functions, Power-moments of Kloosterman New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 10
books:
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6
books
cite this book:
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- Methods of Mathematical Physics, Vol. 1 by Richard Courant in Back Matter
- Modular Forms (Mathematics and Its Applications (Ellis Horwood Ltd)) by Robert Rankin in Back Matter
- Some Applications of Modular Forms (Cambridge Tracts in Mathematics) by Peter Sarnak in Back Matter
- Lectures on Fourier Integrals. (AM-42) (Annals of Mathematics Studies) by Salomon Bochner in Back Matter
- Introduction to Modular Forms (Grundlehren der mathematischen Wissenschaften) by Serge Lang in Back Matter
See all 10 books this book cites
- An Invitation to Modern Number Theory by Steven J. Miller in Back Matter
- Doing Mathematics: Convention, Subject, Calculation, Analogy by Martin H. Krieger in Back Matter
- Lie Groups and Automorphic Forms (Ams/Ip Studies in Advanced Mathematics) by Lizhen Ji on page 167
- Fourier Analysis on Number Fields (Graduate Texts in Mathematics) (v. 186) by Dinakar Ramakrishnan in Back Matter
- An Introduction to the Langlands Program by Joseph Bernstein on page 70
See all 6 books citing this book
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