2 edition of **Lectures on modular forms** found in the catalog.

Lectures on modular forms

Joseph Lehner

- 167 Want to read
- 15 Currently reading

Published
**1969**
by National Bureau of Standards; for sale by the Supt. of Docs., U.S. G.P.O. in [Washington]
.

Written in English

- Modular functions.,
- Forms (Mathematics)

**Edition Notes**

Statement | Joseph Lehner. |

Series | Appied mathematics series / National Bureau of Standards -- 61, Applied mathematics series (Washington, D.C.) -- 61. |

Classifications | |
---|---|

LC Classifications | QA3 .U5 no. 61 |

The Physical Object | |

Pagination | iv, 73 p. : |

Number of Pages | 73 |

ID Numbers | |

Open Library | OL14806224M |

This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June The first series treats the classical one-variable theory of elliptic modular forms. The second series presents Price: $ The of Modular Forms Lectures at a Summer School in Nordfjordeid, Norway. Authors (view affiliations) Search within book. Front Matter. Pages I-X. PDF. Elliptic Modular Forms and Their Applications Jan Hendrik Bruinier. Pages Siegel Modular Forms and Their Applications. Gerard van der Geer. Pages Congruence.

The first book on icosahedron and the solution of equations of the fifth degree showed closed relations between three seemingly different subjects: the symmetries of the icosahedron, the solution to fifth degree algebraic equations, and the differential equation of hypergeometric functions. Lectures on the Theory of Elliptic Modular. Introductory Lectures on Siegel Modular Forms (Cambridge Studies in Advanced Mathematics) by Klingen, Helmut and a great selection of related books, art and collectibles available now at .

Chapter 3. Modular forms 30 Holomorphic forms 30 Math Problem set 4 (due 18/10/09) 33 Eisenstein series and Poincaré series 36 Maass forms 37 Chapter 4. Hecke Operators 38 Abstract Hecke algebras 38 Congruence subgroups and their Hecke algebras 40 Fourier expansion and Newforms (Atkin-Lehner Theory) 43 This is a book by Ken Ribet and William Stein entitled "Lectures on Modular Forms and Hecke Operators". Background. This book began when the second author typed notes for the first author's Berkeley course on modular forms with a view toward explaining some of the key ideas in Wiles's celebrated proof of Fermat's Last Theorem.

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Lectures on Modular Forms (Dover Books on Mathematics) Paperback – by Joseph J. Lehner (Author) out of 5 stars 3 ratings. See all 3 formats and editions Hide other formats and editions.

Price New from Used from 5/5(3). Lectures on Modular Forms. Fall /98 Igor V. Dolgachev Novem ii. Contents 1 Binary Quadratic Forms1 2 Complex Tori13 3 Theta Functions25 4 Theta Constants43 5 Transformations of Theta Functions53 6 Modular Forms63 7 The Algebra of Modular Forms83 8 The Modular Curve97File Size: KB.

Lectures on Modular Forms. (AM) by R. Gunning (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Cited by: 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 Lectures on modular forms book covering the background of these developments. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence.

Additional Physical Format: Online version: Lehner, J. (Joseph), Lectures on modular forms. [Washington] National Bureau of Standards; for sale by the Supt. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

Lectures on Modular Forms. (AM) Book Description: 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. These are notes based on a course of lectures given at Princeton University during.

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. edition. This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June The first series treats the classical one-variable theory of elliptic modular forms.

This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics.

This book offers something new, which may satisfy the desire of such a reader. 1 Introduction The study of modular forms is typically reserved for graduate students, because the amount of background needed to fully appreciate many of the constructions and methods is rather large.

However, it is possible to get a rst look at modular forms without relying too heavily on the theory of complex analysis, harmonic analysis,File Size: KB. 2, Hilbert and Siegel modular forms, trace formulas, p-adic modular forms, and modular abelian varieties, all of which are topics for additional books.

We also rarely analyze the complexity of the algorithms, but instead settle for occasional remarks about their practical eﬃciency. For most of this book we assume the reader has some prior File Size: 2MB. Lectures on Modular Forms.

Fall /98 Igor V. Dolgachev Octo ii. Contents 1 Binary Quadratic Forms1 2 Complex Tori13 3 Theta Functions25 4 Theta Constants43 5 Transformations of Theta Functions53 6 Modular Forms63 7 The Algebra of Modular Forms83 8 The Modular Curve97 9 Absolute Invariant and Cross-Ratio 10 The Modular.

In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth theory of modular forms therefore belongs to complex analysis but the main importance of the theory has traditionally been in its connections with.

Lectures on Modular Forms. (AM), Volume 48 by Robert C. Gunning,available at Book Depository with free delivery worldwide.5/5(1). 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. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the. Lectures on Hilbert Modular Varieties and Modular Forms | Eyal Z.

Goren | download | B–OK. Download books for free. Find books. So it is that Felix Klein and Robert Fricke (his PhD student at Göttingen in its Golden Age), mentioned in that order, are the authors of the (two-volume) Lectures on the Theory of Elliptic Modular Forms, and the same pair, in reverse order, are responsible for the (also two-volume) Lectures on the Theory of Automorphic Forms.

The original. These are based on my lectures at the Tata Institute of Fundamental Research in They are concerned with the problem of represen-tation of positive deﬁnite quadratic forms by other such for ms. § and Chapter 2 are added, besides lectures at the Institute, by Professor Raghavan (who also wrote up §§–) and myself respec.

“Introduction to Modular Forms,” by Keith Conrad. Topics include Eisenstein series and q-expansions, applications to sums of squares and zeta-values, Hecke operators, eigenforms, and the L. INTRODUCTION TO MODULAR FORMS Introduction Modular forms arose in association to the elliptic funcions in the early 19th century.

Nowadays the Galois rapresentation associated to modular forms play a central role in the modern Number Theory. A goal in Number Theory is to understand the nite extensions of Q, and by Galois Thepry thisFile Size: KB.This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs.

The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.Lectures on Modular Forms. (AM), Volume 48 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 .