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  • © 2007

Value-Distribution of L-Functions

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1877)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIII
  2. Introduction

    Pages 1-33
  3. Limit Theorems

    Pages 63-85
  4. Universality

    Pages 87-110
  5. The Selberg Class

    Pages 111-135
  6. The Riemann Hypothesis

    Pages 155-165
  7. Effective Results

    Pages 167-191
  8. Joint Universality

    Pages 229-248
  9. Back Matter

    Pages 285-322

Keywords

  • L-functions
  • Nevanlinna theory
  • Probability theory
  • Riemann hypothesis
  • Selberg class
  • analytic function
  • universality
  • value-distribution

Reviews

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. The author gives many examples, presents main hypotheses and problems in the recent theory of universality. There is a large bibliography of 372 entries. The book is recommended for everybody wanting to see the current panorama of the universality theory.” (Ramunas Garunkštis, Zentralblatt MATH, Vol. 1130 (8), 2008)

"The book consists of 13 chapters with an appendix describing the history of universality. … In summary, this is a valuable set of lecture notes ideally suited for the researcher in analytic number theory." (M. Ram Murty, Mathematical Reviews, Issue 2008 m)

Authors and Affiliations

  • Department of Mathematics, University of Würzburg, Würzburg, Germany

    Jörn Steuding

About the author

Career details of the author:

1996-1999: assistant of Prof. G.J. Rieger at Hanover University

1999: PhD at Hanover University under supervision of Prof. Dr. G.J. Rieger

1999-2004: assistant of Prof. Dr. W. Schwarz and Prof. Dr. J. Wolfart at Frankfurt University

2004: Habilitation at Frankfurt University (venia legendi)

2004-today: ‘Ramon y Cajal’-investigador at Universidad Autonoma de Madrid (research fellow)

Bibliographic Information

Buying options

eBook USD 59.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions