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Lectures on Modular Forms [Minkštas viršelis]

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  • Formatas: Paperback / softback, 80 pages, aukštis x plotis x storis: 230x150x5 mm, weight: 146 g
  • Išleidimo metai: 26-May-2017
  • Leidėjas: Dover Publications Inc.
  • ISBN-10: 0486812421
  • ISBN-13: 9780486812427
Kitos knygos pagal šią temą:
Lectures on Modular FormsDidesnis paveikslėlis
  • Formatas: Paperback / softback, 80 pages, aukštis x plotis x storis: 230x150x5 mm, weight: 146 g
  • Išleidimo metai: 26-May-2017
  • Leidėjas: Dover Publications Inc.
  • ISBN-10: 0486812421
  • ISBN-13: 9780486812427
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780486812427.html
Raktažodžiai:
Concise book offers expository account of theory of modular forms and its application to number theory and analysis. Substantial notes at the end of each chapter amplify the more difficult subjects. 1969 edition.


This concise treatment presents an expository account of the theory of modular forms and its application to number theory and analysis. Prerequisites include a grasp of the elements of complex variable theory, group theory, and number theory. Substantial notes at the end of each chapter provide detailed explanations of the more difficult points covered in the text.
Foreword iii
Introduction 2(1)
I Modular Forms
3(23)
1 The Modular Group and Some Subgroups
3(5)
2 Modular Forms
8(4)
3 Modular Forms (continued)
12(6)
4 Sums of Squares
18(2)
Chapter I Notes
20(6)
II Modular Forms with Multiplicative Fourier Coefficients. I
26(13)
1 Introduction
26(1)
2 The Operators Tp
27(3)
3 Simultaneous Eigenforms
30(1)
4 Simultaneous Diagonalization
31(3)
5 Uniqueness
34(2)
Chapter II Notes
36(3)
III Modular Forms with Multiplicative Fourier Coefficients. II
39(13)
1 The Subgroup Γ0(q), q = Prime. Good Primes
39(6)
2 Γ0(q). The Bad Prime
45(2)
Chapter III Notes
47(5)
IV Automorphisms of Compact Riemann Surfaces
52(13)
1 Riemann Surfaces and Discrete Groups
52(1)
2 Hurwitz Groups
53(3)
3 Linear Fractional Groups That Are Hurwitz
56(6)
Chapter IV Notes
62(3)
V The Fourier Coefficients of j(τ). I
65(17)
1 Introduction
65(2)
2 Basic Lemmas
67(4)
3 Congruences for c(m) mod q
71(2)
4 Congruences for c(m) mod qa
73(5)
Chapter V Notes
78(4)
VI The Fourier Coefficients of j(τ). II
82
1 Introduction
82(1)
2 Basic Lemmas
83(3)
3 Proof of Theorem 1
86(5)
Chapter VI Notes
91