1# Library to Find Best eBook for Read
Author : Kazuya Kato
Release : 2000
Genre : Class field theory
Kind : eBook
Book Rating : 958/5 ( reviews)
Book Synopsis Number Theory by : Kazuya Kato
Download or read book Number Theory written by Kazuya Kato. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fred Diamond
Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 267/5 ( reviews)
Book Synopsis A First Course in Modular Forms by : Fred Diamond
Download or read book A First Course in Modular Forms written by Fred Diamond. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
Author : B. Ramakrishnan
Release : 2020-11-24
Genre : Mathematics
Kind : eBook
Book Rating : 191/5 ( reviews)
Book Synopsis Modular Forms and Related Topics in Number Theory by : B. Ramakrishnan
Download or read book Modular Forms and Related Topics in Number Theory written by B. Ramakrishnan. This book was released on 2020-11-24. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research.
Author : Serge Lang
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 472/5 ( reviews)
Book Synopsis Introduction to Modular Forms by : Serge Lang
Download or read book Introduction to Modular Forms written by Serge Lang. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms." #Mathematical Reviews# "This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms." #Publicationes Mathematicae#
Author : Tom M. Apostol
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 994/5 ( reviews)
Book Synopsis Modular Functions and Dirichlet Series in Number Theory by : Tom M. Apostol
Download or read book Modular Functions and Dirichlet Series in Number Theory written by Tom M. Apostol. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.
