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Modular Forms and Related Topics in Number Theory

2020-11-24 Mathematics
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Release : 2020-11-24
Genre : Mathematics
Kind : eBook
Book Rating : 191/5 ( reviews)

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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.

Number Theory

2000 Class field theory
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Release : 2000
Genre : Class field theory
Kind : eBook
Book Rating : 958/5 ( reviews)

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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:

Heads in Grammatical Theory

1993-06-24 Language Arts & Disciplines
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Release : 1993-06-24
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 453/5 ( reviews)

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Book Synopsis Heads in Grammatical Theory by : Greville G. Corbett

Download or read book Heads in Grammatical Theory written by Greville G. Corbett. This book was released on 1993-06-24. Available in PDF, EPUB and Kindle. Book excerpt: A study of the idea of the 'head' or dominating element of a phrase.

Modular Functions and Dirichlet Series in Number Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 994/5 ( reviews)

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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.

A First Course in Modular Forms

2006-03-30 Mathematics
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Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 267/5 ( reviews)

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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.

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