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Lectures On Modular Forms


Lectures On Modular Forms
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Lectures On Modular Forms


Lectures On Modular Forms
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Author : Robert C. Gunning
language : en
Publisher: Princeton University Press
Release Date : 1962-03-21

Lectures On Modular Forms written by Robert C. Gunning and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-03-21 with Education categories.


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.



Lectures On Hilbert Modular Varieties And Modular Forms


Lectures On Hilbert Modular Varieties And Modular Forms
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Author : Eyal Zvi Goren
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Lectures On Hilbert Modular Varieties And Modular Forms written by Eyal Zvi Goren and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


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. It is re-interpreted from a geometric point of view, which is developed to present the rudiments of a similar theory for Hilbert modular forms. The theory of moduli spaces of abelianvarieties with real multiplication is presented first very explicitly over the complex numbers. Aspects of the general theory are then exposed, in particular, local deformation theory of abelian varieties in positive characteristic. The arithmetic of $p$-adic Hilbert modular forms and the geometry ofmoduli spaces of abelian varieties are related. This relation is used to study $q$-expansions of Hilbert modular forms, on the one hand, and stratifications of moduli spaces on the other hand. The book is addressed to graduate students and non-experts. It attempts to provide the necessary background to all concepts exposed in it. It may serve as a textbook for an advanced graduate course.



The 1 2 3 Of Modular Forms


The 1 2 3 Of Modular Forms
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Author : Jan Hendrik Bruinier
language : en
Publisher: Springer
Release Date : 2009-09-02

The 1 2 3 Of Modular Forms written by Jan Hendrik Bruinier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.


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 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.



Lectures On Modular Forms


Lectures On Modular Forms
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Author : Joseph Lehner
language : en
Publisher:
Release Date : 1969

Lectures On Modular Forms written by Joseph Lehner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Finite fields (Algebra) categories.




Lectures On Modular Forms


Lectures On Modular Forms
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Author : Robert Clifford Gunning
language : en
Publisher:
Release Date : 1959

Lectures On Modular Forms written by Robert Clifford Gunning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.




Heads In Grammatical Theory


Heads In Grammatical Theory
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Author : Greville G. Corbett
language : en
Publisher: Cambridge University Press
Release Date : 1993-06-24

Heads In Grammatical Theory written by Greville G. Corbett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-24 with Language Arts & Disciplines categories.


A study of the idea of the 'head' or dominating element of a phrase.



Lectures On Modular Forms


Lectures On Modular Forms
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Author : R. C Gunning
language : en
Publisher:
Release Date : 1962

Lectures On Modular Forms written by R. C Gunning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Forms, Modular categories.




Hecke S Theory Of Modular Forms And Dirichlet Series


Hecke S Theory Of Modular Forms And Dirichlet Series
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Author : Bruce C. Berndt
language : en
Publisher: World Scientific
Release Date : 2007

Hecke S Theory Of Modular Forms And Dirichlet Series written by Bruce C. Berndt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol]



Modular Forms A Computational Approach


Modular Forms A Computational Approach
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Author : William A. Stein
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-02-13

Modular Forms A Computational Approach written by William A. Stein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-13 with Mathematics categories.


This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.



Lectures On Modular Forms


Lectures On Modular Forms
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Author : Joseph J. Lehner
language : en
Publisher: Courier Dover Publications
Release Date : 2017-05-17

Lectures On Modular Forms written by Joseph J. Lehner and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Mathematics categories.


Concise book offers expository account of theory of modular forms and its application to number theory and analysis. Substantial notes at the end of each chapter amplify the more difficult subjects. 1969 edition.