Last edited by Guramar
Friday, May 8, 2020 | History

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

Lectures on modular forms.

J. Lehner

Lectures on modular forms.

by J. Lehner

  • 264 Want to read
  • 33 Currently reading

Published by National Bureau of Standards; for sale by the Supt. of Docs., U.S. Govt. Print. Off. in [Washington] .
Written in English

    Subjects:
  • Modular functions.,
  • Forms (Mathematics)

  • Edition Notes

    SeriesNational Bureau of Standards. Applied mathematics series,, 61
    Classifications
    LC ClassificationsQA3 .U5 no. 61
    The Physical Object
    Paginationiv, 73 p.
    Number of Pages73
    ID Numbers
    Open LibraryOL5737903M
    LC Control Number70601821

    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 .

    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.   Modular Forms and Fermat's Last Theorem book. Read reviews from world’s largest community for readers. This volume contains expanded versions of lectures /5(3).

    Chapter 0. The notion of modular forms and a survey of the main examples 1 Exercises 7 Chapter 1. Modular forms on SL2(Z) 8 Eisenstein series 8 The discriminant function 10 Modular forms and differential operators 12 Exercises 14 Chapter 2. Hecke theory 15 Hecke operators 15 Eigenforms 17 L-series 20 Modular forms File Size: KB.   Some ``gems'' of the book are an immediately implementable trace formula for Hecke operators, generalizations of Haberland's formulas for the computation of Petersson inner products, W. Li's little-known theorem on the diagonalization of the full space of modular forms, and explicit algorithms due to the second author for computing Maass : Henri Cohen.


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Lectures on modular forms by J. Lehner Download PDF EPUB FB2

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). “If you ever wanted to gain a general understanding of modular forms then you should check out The of Modular Forms. Each set of lectures includes standard introductory material as well as concrete examples and applications. One could use this as a way to start a graduate student working on modular forms.

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. The digit and digit formats both work.

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 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 principal congruence subgroups, and the Hecke.

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 coronavirus.

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.

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.

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 number theory.

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. 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 the full modular group alone.

Related Books.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.

This book is devoted to certain aspects of the theory of \(p\)-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of \(p\)-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N.

M. Katz and J.-P. Serre.