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Published **1993**
by Springer-Verlag in New York .

Written in English

- Curves, Elliptic,
- Forms, Modular,
- Number theory

**Edition Notes**

Includes bibliographical references (p. [240]-244) and index.

Statement | Neal Koblitz. |

Series | Graduate texts in mathematics ;, 97 |

Classifications | |
---|---|

LC Classifications | QA567.2.E44 K63 1993 |

The Physical Object | |

Pagination | x, 248 p. : |

Number of Pages | 248 |

ID Numbers | |

Open Library | OL1736693M |

ISBN 10 | 0387979662 |

LC Control Number | 92041778 |

The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse Cited by: An Introduction to the Theory of Elliptic Curves The Discrete Logarithm Problem Fix a group G and an element g 2 Discrete Logarithm Problem (DLP) for G is: Given an element h in the subgroup generated by g, ﬂnd an integer m satisfying h = gm: The smallest integer m satisfying h = gm is called the logarithm (or index) of h with respect to g, and is denotedFile Size: KB. This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. Introduction to Elliptic Curves and Modular Forms: Edition 2 - Ebook written by Neal I. Koblitz. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Introduction to Elliptic Curves and Modular Forms: Edition 2.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. $\begingroup$ If you want to get into the number theoretic investigations, for a gentle introduction start with Cassels, "Lectures on elliptic curves". You can supplement that later with Knapp's "Elliptic Curves". After you have had a look at both, you can start reading Silverman's book. $\endgroup$ – Anweshi Jul 24 '10 at One of the classics on the theory of elliptic curves and modular forms. It gives a nice introduction to the theory od Weierstrass elliptic curves, rational points on elliptic curves, and slightly advanced topics in the theory. One special aspect of this book is the smooth treatment of the theory of modular forms of half-integer weight/5(1). The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse.

elliptic curves and modular forms Download elliptic curves and modular forms or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get elliptic curves and modular forms book now. This site is like a library, Use search box in the widget to get ebook that you want. Book Title:Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics) The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. about modular forms, and explore the relationship between lattice functions and modular forms. We conclude by giving a small glimpse of the relationship between modular forms and elliptic curves. 1 Introduction In this paper, we focus on the fundamentals of modular forms. We rst give a de nition of a modular form through a careful series of. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and \(L\)-functions.

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