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INTRODUCTION TO SIEGEL MODULAR FORMS AND DIRICHLET SERIES By Anatoli Andrianov
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N.º de artículo de eBay:226847942855
Última actualización el 05 sep 2025 03:10:24 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- ISBN-10
- 0387787526
- Book Title
- Introduction to Siegel Modular Forms and Dirichlet Series
- Genre
- MATHEMATICS
- Item Height
- 9.25 inches
- ISBN
- 9780387787527
Acerca de este producto
Product Identifiers
Publisher
Springer New York
ISBN-10
0387787526
ISBN-13
9780387787527
eBay Product ID (ePID)
66590051
Product Key Features
Number of Pages
Xii, 184 Pages
Language
English
Publication Name
Introduction to Siegel Modular Forms and Dirichlet Series
Publication Year
2008
Subject
Number Theory, Algebra / General, Complex Analysis
Type
Textbook
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
16 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2008-938066
Dewey Edition
22
Reviews
From the reviews: "Introduction to Siegel Modular Forms and Dirichlet Series is a compact but masterful presentation of this important generalization of the classical theory, and a good deal more. ... beneficiaries of this wonderful book are the obvious candidates: students of number theory with their qualifying examinations behind them, or very gifted undergraduates who have already learned group theory and complex analysis, some topology, some rings and fields, and so on." (Michael Berg, The Mathematical Association of America, May, 2009) "Andrianov ... offers a comparatively concrete, lowbrow treatment of Siegel modular forms, a large and important but still special class of higher-dimensional modular forms. Readers familiar with standard accounts of the one-dimensional story will find the flow and organization here comfortingly familiar ... . Andrianov has suppressed entirely the vantage of algebraic geometry, presumably for simplicity. ... Summing Up: Highly recommended. Upper-division undergraduate through professional collections." (D. V. Feldman, Choice, Vol. 47 (4), December, 2009)"The book under review is a concise and self-contained introduction to the Hecke theory of Siegel modular forms and zeta functions and is suitable for beginners. ... Siegel modular form is introduced and its analytic properties are investigated." (Hidenori Katsurada, Mathematical Reviews, Issue 2010 f), From the reviews:"Introduction to Siegel Modular Forms and Dirichlet Series is a compact but masterful presentation of this important generalization of the classical theory, and a good deal more. … beneficiaries of this wonderful book are the obvious candidates: students of number theory with their qualifying examinations behind them, or very gifted undergraduates who have already learned group theory and complex analysis, some topology, some rings and fields, and so on." (Michael Berg, The Mathematical Association of America, May, 2009)Andrianov … offers a comparatively concrete, lowbrow treatment of Siegel modular forms, a large and important but still special class of higher-dimensional modular forms. Readers familiar with standard accounts of the one-dimensional story will find the flow and organization here comfortingly familiar … . Andrianov has suppressed entirely the vantage of algebraic geometry, presumably for simplicity. … Summing Up: Highly recommended. Upper-division undergraduate through professional collections. (D. V. Feldman, Choice, Vol. 47 (4), December, 2009)The book under review is a concise and self-contained introduction to the Hecke theory of Siegel modular forms and zeta functions and is suitable for beginners. … Siegel modular form is introduced and its analytic properties are investigated. (Hidenori Katsurada, Mathematical Reviews, Issue 2010 f)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Modular Forms.- Dirichlet Series of Modular Forms.- Hecke-Shimura Rings of Double Cosets.- Hecke Operators.- Euler Factorization of Radial Series.
Synopsis
Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in'uence on the number theory of the second half of the twentieth century in general and on the author's formation in particular. When Andre ' Weil was signing a copy of his "Basic Number Theory" to my son, he wrote in Russian, "To Fedor Anatolievich hoping that he will become a number theoretist". Fedor has chosen computer science. Now I pass on the idea to Fedor's daughter, Alexandra Fedorovna., This is intended as a graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The aim is to attract researchers to this beautiful field by presenting a concise and self-contained introduction to a developing area of number theory., Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in?uence on the number theory of the second half of the twentieth century in general and on the author's formation in particular. When Andre Weil was signing a copy of his "Basic Number Theory" to my son, he wrote in Russian, "To Fedor Anatolievich hoping that he will become a number theoretist". Fedor has chosen computer science. Now I pass on the idea to Fedor's daughter, Alexandra Fedorovna.
LC Classification Number
QA241-247.5
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- 8***g (252)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaA smooth and professional transaction throughout. The item was exactly as described, clearly listed, and fairly priced. Communication from the seller was prompt, polite, and helpful, with dispatch confirmed quickly. The parcel was securely packaged and arrived in excellent condition, ahead of the expected delivery date. Care was taken at every stage of the process. I would be happy to buy from this seller again—many thanks for a reliable and well-handled sale.FINLAND AND EUROPE: INTERNATIONAL CRISES IN THE PERIOD OF By Juhani Paasivirta (#335694307643)
- 0***t (10)- Votos emitidos por el comprador.Mes pasadoCompra verificadaItem was exactly as described and packaged to protect it. Seller’s pricing was spot on and when I received it, it was in good condition. Seller actually messaged me when they shipped it (I really appreciated that). Overall I’m happy doing business with them!
- t***s (44)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaThe Item itself I rate five stars. The seller, however, I stop at four stars. The seller met two out of three categories I look for when judging my purchasing experience: how well it was packaged, how quickly it was shipped, and how properly it was described; this seller provided prompt shipping and an accurate description, but failed when it came to packaging. The item arrived in a plastic bag without any reinforcement or protection whatsoever and suffered dinged corners on multiple fronts.
Categorías populares de esta tienda
Votos de vendedor (305.122)
- 8***g (252)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaA smooth and professional transaction throughout. The item was exactly as described, clearly listed, and fairly priced. Communication from the seller was prompt, polite, and helpful, with dispatch confirmed quickly. The parcel was securely packaged and arrived in excellent condition, ahead of the expected delivery date. Care was taken at every stage of the process. I would be happy to buy from this seller again—many thanks for a reliable and well-handled sale.FINLAND AND EUROPE: INTERNATIONAL CRISES IN THE PERIOD OF By Juhani Paasivirta (#335694307643)
- 0***t (10)- Votos emitidos por el comprador.Mes pasadoCompra verificadaItem was exactly as described and packaged to protect it. Seller’s pricing was spot on and when I received it, it was in good condition. Seller actually messaged me when they shipped it (I really appreciated that). Overall I’m happy doing business with them!
- t***s (44)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaThe Item itself I rate five stars. The seller, however, I stop at four stars. The seller met two out of three categories I look for when judging my purchasing experience: how well it was packaged, how quickly it was shipped, and how properly it was described; this seller provided prompt shipping and an accurate description, but failed when it came to packaging. The item arrived in a plastic bag without any reinforcement or protection whatsoever and suffered dinged corners on multiple fronts.