Last edited by Kigarr
Saturday, August 1, 2020 | History

5 edition of Congruences for L-functions found in the catalog.

# Congruences for L-functions

## by Jerzy Urbanowicz

Written in English

Subjects:
• L-functions,
• Congruences and residues

• Edition Notes

Includes bibliographical references and indexes

Classifications The Physical Object Statement by Jerzy Urbanowicz and Kenneth S. Williams Series Mathematics and its applications -- v. 511, Mathematics and its applications (Kluwer Academic Publishers) -- v. 511 Contributions Williams, Kenneth S LC Classifications QA246 .U73 2000 Pagination xii, 256 p. ; Number of Pages 256 Open Library OL16985628M ISBN 10 0792363795 LC Control Number 00033054

The Green Book of Mathematical Problems - Ebook written by Kenneth Hardy, Kenneth S. Williams. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read The Green Book of Mathematical Problems. Fishpond Thailand, Congruences for L-Functions (Mathematics and Its Applications) by Jerzy Urbanowicz Kenneth S WilliamsBuy. Books online: Congruences for L-Functions (Mathematics and Its Applications), , chateau-du-bezy.comd: Springer.

[as] A. Ash and G. Stevens, "Modular forms in characteristic $l$ and special values of their $L$-functions," Duke Math. J., vol. 53, iss. 3, pp. , Cited by: special values of Dirichlet L-functions to corresponding eigenspaces of class groups of abelian extensions of Q. The theory of congruences of modular forms can be (roughly) distinguished into two types: (1)congruences between Hecke eigenforms, (2)congruences between classical holomorphic or meromorphic modular forms.

numbers, (see the book by Nielsen [10]). Carlitz [3] extended these congruences to the generalized Bernoulli numbers of Leopoldt. Some restrictionsof Carlitz’s results has been removed by the work of Fresnel [5]. These congruences are important for the deﬁnition of the p-adic L-functions. Adjoint L-value and congruences 26 References 27 1. Introduction In this course, assuming basic knowledge of complex analysis, we describe basics of elliptic modular forms. We plan to discuss the following four topics: (1) Spaces of modular forms and its rational structure, (2) Modular L-functions, (3) Rationality of L-values.

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Get this from a library. Congruences for L-functions. [Jerzy Urbanowicz; Kenneth S Williams] -- "This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at.

In [Hardy and Williams, ] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2. Their congruence provided a unified setting for many congruences proved previously by other authors using various.

Get this from a library. Congruences for L-Functions. [Jerzy Urbanowicz; Kenneth S Williams] -- This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at.

In [Hardy and Williams, ] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2.

Their congruence provided a unified setting for many congruences proved previously by other authors using various means. The Hardy-Williams idea was as follows. Congruences for L-Functions by Jerzy Urbanowicz, Kenneth S.

Williams starting at $Congruences for L-Functions has 2 available editions to buy at Half Price Books Marketplace. This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at Congruences for L-functions book special values. There is no other book on the market which deals with this subject. Elementary Number Theory Primes, Congruences, and Secrets. This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. Abstract. Our purpose in this chapter is to investigate divisibility properties of the values of L-functions attached to quadratic characters at integers, for example, class numbers and the orders of K 2-groups of the integers of quadratic chateau-du-bezy.com use of 2-adic L-functions we extend the linear congruence relations considered in the previous chateau-du-bezy.com: Jerzy Urbanowicz, Kenneth S. Williams. In the book. Congruences for L-Functions by Urbanowicz, J. and Williams, Kenneth S. in page 28 the authors state that for odd character$\chi$modulo$M\$ the sum. This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on Congruences involving the values of L-functions (attached to quadratic characters) at certain special values.

There is no other book on the market which deals with this subject. congruences for l functions mathematics and its applications Dec 24, Posted By Hermann Hesse Public Library TEXT ID e3e09 Online PDF Ebook Epub Library theorem of arithmetic congruences fermats little theorem and eulers theorem the ring of integers modulo n factorisation of polynomials elementary symmetric functions.

Our purpose in the paper is to find the most general linear congruence relation of the Hardy–Williams type for linear combinations of special values of Kubota–Leopoldt 2-adic L-functions L2(k.

The source of a p-adic L-function tends to be one of two types. The first source—from which Tomio Kubota and Heinrich-Wolfgang Leopoldt gave the first construction of a p-adic L-function (Kubota & Leopoldt )—is via the p-adic interpolation of special values of L-functions.

arXivv1 [chateau-du-bezy.com] 6 Oct Congruences of algebraic L-functions of motives Olivier Fouquet and Jyoti Prakash Saha Abstract We develop a framework to investigate conjectures on congruences between the algebraic.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - Cited by: Arithmetic of l-regular partition functions. Ahlgren and Ono [6] established congruences of type () for traces of singular moduli.

"This book was written for the active reader. The Author: David Penniston. Theory of Numbers Lecture Notes. This lecture note is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.

properties of L-functions. This is exactly what Kubota and Leopoldt examined inwhere they used Kummer congruences on Bernoulli numbers to interpret L-functions p-adically.

In this paper we take the approach of Washington by giving an explicit series representation of a p-adic L. This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values.

There is no other book on the market. Buy Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics) 1st (first) 2nd (second) Pri Edition by Stein, William [] on chateau-du-bezy.com FREE SHIPPING on qualified orders/5(3).

Elementary Number Theory: Primes, Congruences, and Secrets (free online edition, ), by William A. Stein (PDF with commentary at chateau-du-bezy.com) An Elementary Investigation of the Theory of Numbers, by Peter Barlow (page images at Cornell).What corresponds for p-adic L-functions?

Essentially there isn't anything that matches. You can sit in many lectures on p-adic L-functions without seeing anything that merits the name "function", in the sense of function theory.

What lies behind this? It is not that p .Mar 02,  · An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L .