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Princeton University Press
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Lectures on Modular Forms
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Robert C. Gunning
Language:
English
Published/Copyright:
2016
About this book
New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler. But there has been no introductory work covering the background of these developments. H. C. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence subgroups, and the Hecke operators for the full modular group alone.
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Frontmatter
i -
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INTRODUCTION
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CONTENTS
vi -
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CHAPTER I. GEOMETRICAL BACKGROUND
1 -
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CHAPTER II. MODULAR FORMS
18 -
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CHAPTER III. POINCARÉ SERIES
28 -
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CHAPTER IV. EISENSTEIN SERIES
44 -
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CHAPTER V. MODULAR CORRESPONDENCES
57 -
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CHAPTER VI. QUADRATIC FORMS
70
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 20, 2016
eBook ISBN:
9781400881666
Pages and Images/Illustrations in book
eBook ISBN:
9781400881666
Keywords for this book
Linear fractional transformation; Modular form; Modular group; Cusp form; Meromorphic function; Subgroup; Eisenstein series; Riemann surface; Fundamental domain; Equivalence class; Theorem; Riemann sphere; Fourier series; Automorphism; Euler characteristic; Uniformization theorem; Summation; Change of variables; Linear map; Quotient group; Quotient space (topology); Equivalence relation; Scientific notation; Hilbert space; Chain rule; Big O notation; Quadratic form; Linear subspace; Dimension (vector space); Geometry; Vector space; Neighbourhood (mathematics); Calculation; Ellipse; Linear combination; Integer; Compactification (mathematics); Requirement; Strong topology; Compact space; Differential form; Coefficient; Upper half-plane; Local coordinates; Compact Riemann surface
Audience(s) for this book
For an expert adult audience, including professional development and academic research
