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01983nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20231113172627.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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231107b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387979663 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
KOB-I |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Koblitz, Neal |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to elliptic curves and modular forms |
| Statement of responsibility, etc |
by Neal Koblitz |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Place of publication, distribution, etc |
New York : |
| Date of publication, distribution, etc |
©1993 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 248 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Graduate texts in mathematics ; |
| Volume number/sequential designation |
97 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
This book includes bibliographical references and an index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Chapter I. From Congruent Numbers to Elliptic Curves |
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1. Congruent numbers<br/>2. A certain cubic equation<br/>3. Elliptic curves<br/>4. Doubly periodic functions<br/>5. The field of elliptic functions<br/>6. Elliptic curves in Weierstrass form<br/>7. The addition law<br/>8. Points of finite order<br/>9. Points over finite fields, and the congruent number problem |
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Chapter II. The Hasse-Weil L-Function of an Elliptic Curve |
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1. The congruence zeta-function<br/>2. The zeta-function of E[subscript n]<br/>3. Varying the prime p<br/>4. The prototype: the Riemann zeta-function<br/>5. The Hasse-Weil L-function and its functional equation<br/>6. The critical value |
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Chapter III. Modular forms |
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1. SL[subscript 2](Z) and its congruence subgroups<br/>2. Modular forms for SL[subscript 2](Z)<br/>3. Modular forms for congruence subgroups<br/>4. Transformation formula for the theta-function<br/>5. The modular interpretation and Hecke operators |
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Chapter IV. Modular Forms of Half Integer Weight |
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1. Definitions and examples<br/>2. Eisenstein series of half integer weight for [actual symbol not reproducible](4)<br/>3. Hecke operators on forms of half integer weight<br/>4. The theorems of Shimura, Waldspurger, Tunnell, and the congruent number problem |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Curves, Elliptic |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Forms, Modular |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Geometry, Algebraic |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
