Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning
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| Autore: |
Gunning Robert C.
|
| Titolo: |
Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning
|
| Pubblicazione: | Princeton, NJ : , : Princeton University Press, , [2016] |
| ©1962 | |
| Descrizione fisica: | 1 online resource (108 pages) : illustrations |
| Disciplina: | 512.87 |
| Soggetto topico: | Forms, Modular |
| Modular functions | |
| Soggetto non controllato: | Automorphism |
| Big O notation | |
| Calculation | |
| Chain rule | |
| Change of variables | |
| Coefficient | |
| Compact Riemann surface | |
| Compact space | |
| Compactification (mathematics) | |
| Cusp form | |
| Differential form | |
| Dimension (vector space) | |
| Eisenstein series | |
| Ellipse | |
| Equivalence class | |
| Equivalence relation | |
| Euler characteristic | |
| Fourier series | |
| Fundamental domain | |
| Geometry | |
| Hilbert space | |
| Integer | |
| Linear combination | |
| Linear fractional transformation | |
| Linear map | |
| Linear subspace | |
| Local coordinates | |
| Meromorphic function | |
| Modular form | |
| Modular group | |
| Neighbourhood (mathematics) | |
| Quadratic form | |
| Quotient group | |
| Quotient space (topology) | |
| Requirement | |
| Riemann sphere | |
| Riemann surface | |
| Scientific notation | |
| Strong topology | |
| Subgroup | |
| Summation | |
| Theorem | |
| Uniformization theorem | |
| Upper half-plane | |
| Vector space | |
| Classificazione: | SK 180 |
| Persona (resp. second.): | GunningR . C . |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters. |
| Nota di contenuto: | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Lectures on Modular Forms. (AM-48), Volume 48 |
| ISBN: | 1-4008-8166-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910154753603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Annals of mathematics studies ; ; Number 48.