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Wednesday, May 6, 2020 | History

7 edition of Value-distribution of L-functions found in the catalog.

Value-distribution of L-functions

Jorn Steuding

Value-distribution of L-functions

by Jorn Steuding

  • 146 Want to read
  • 15 Currently reading

Published by Springer in Berlin .
Written in English

    Subjects:
  • L-functions.,
  • Value distribution theory.

  • Edition Notes

    Includes bibliographical references (p. [293]-309) and index.

    StatementJörn Steuding.
    SeriesLecture notes in mathematics -- 1877, Lecture notes in mathematics (Springer-Verlag) -- 1877.
    The Physical Object
    Paginationxiii, 317 p. :
    Number of Pages317
    ID Numbers
    Open LibraryOL20268244M
    ISBN 103540265260
    ISBN 109783540265269

    On certain mean values and the value-distribution of logarithms of Dirichlet L-functions Yasutaka Ihara and Kohji Matsumoto Abstract We study the value-distribution of Dirichlet L-functions L(s;˜) in the half-plane ˙= 1=2. The main result is that a certain aver-age of the logarithm of L(s;˜) with respect to ˜, . I hope this question is appropriate for this forum. I am compiling a list of all books about the Riemann Hypothesis and Riemann's Zeta Function. The following are excluded: Books by mathematical cranks (especially books by amateurs who claim to prove or disprove RH in their book).

    This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of and the spring of The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as. L-functions (Theorem ). To prove this result we need a mean value theorem. This theorem (Theorem ) does not apply to Artin L-functions, since we do not know if they are holomorphic in the critical strip. However it is valid for Hecke L-functions and Dedekind Zeta-functions (Remark ), because they only possess a limited number of poles.

    The purpose of this article is to survey recent results of the authors on the value-distribution of logL and L!/L for certain L-functions. Details [9, 10, 11] will be published elsewhere. We begin with the general formulation of the problem. Let K be a global field, X a certain family of infinitely many “characters” χ. for functions in a subclass of the Selberg class including the Dirichlet L-functions L(s,χ)), June 20, Mathematics Subject Classification: 11M06,11M26, 11M36 Keywords and Phrases: Dirichlet L-function, a-points, value-distribution. The authors are supported by the Tunisian-French Grant DGRST-CNRS 14/R 1Author: Mohamed Taïb Jakhlouti, Kamel Mazhouda.


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Value-distribution of L-functions by Jorn Steuding Download PDF EPUB FB2

These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.

InVoronin proved that any non-vanishing analytic function can be approximated uniformly by certain shifts of the Riemann zeta-function in the critical strip.

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In this book the author proves universality for polynomial Euler products. is written in a narrative and reader friendly language. These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.

Universality has a strong impact on the zero-distribution: Read more. These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.

Universality has a strong impact on the zero-distribution: Riemann's hypothesis is true only if the Riemann zeta-function can approximate itself uniformly.

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This continues a download value-distribution history that can help, Install, and be. About this book Keywords L-functions Nevanlinna theory Probability theory Riemann hypothesis Selberg class analytic function universality value-distribution.

L -functions, with the Riemann zeta function as a prototype, are important objects in number theory, and value distribution of L-functions has been studied extensively, which can be found, for.

Résumé From the reviews: "This book presents recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. In this book the author proves universality for polynomial Euler products. is written in a narrative and reader friendly language.

"This book presents recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. In this book the author proves universality for polynomial Euler products.

is written in a narrative and reader friendly chickashacf.com: Jörn Steuding. In this paper, we study the value distribution of L-functions in the Selberg class and concentrate on the uniqueness questions of L-functions that share one or two sets with an arbitrary.

Description: These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. InVoronin proved that any non-vanishing analytic function can be approximated uniformly by certain shifts of the Riemann zeta-function in the critical strip.

Jan 10,  · Abstract. In this paper, two limit theorems in the sense of the weak convergence of probability measures in the space of meromorphic functions and on the complex plane are proved for L-functions from a subclass of the Selberg chickashacf.com explicit form of the limit measures is chickashacf.com: R.

Macaitienė. Value-Distribution of L-Functions. Find all books from Jörn Steuding. At chickashacf.com you can find used, antique and new books, compare results and immediately purchase your selection at the best price.

These notes present recent results in the value-distribution theory of L-functions Brand: Springer. Oct 13,  · L-functions in the Selberg class, with the Riemann zeta function as a prototype, are important objects in number theory, and value distribution of L-functions has been studied extensively.

We refer the reader to the monograph for a detailed discussion on this topic and related chickashacf.com: Wan-Qiong Zhu, Jun-Fan Chen. These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.

Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. This book is based on a course I gave at Columbia University in Its writing was greatly facilitated by the notes for that course which were taken by.

This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works.

Subjects covered. Automorphic L-functions attached to the exceptional groups cannot be analyzed via the method of Langlands-Shahidi. These groups cannot be embedded as Levi components of any larger reductive group.

A new development related to the L-functions is the generalization to arbitrary groups of the “classical” theory of Poincare series. However, the.

Nov 27,  · Read "Value Distribution in p-adic Analysis" by Alain Escassut available from Rakuten Kobo. The book first explains the main properties of analytic functions in order to use them in the study of various problems Brand: World Scientific Publishing Company.For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.

The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its.Book Publishing WeChat (or Email:[email protected]) Article citations.

More>> Slater, L. () Confluent Hypergeometric Functions. Cambridge University Press, London. has been cited by the following article: Value Distribution of L-Functions with Rational Moving Targets.

Matthew Cardwell, Zhuan Ye.