© 2007

Value-Distribution of L-Functions


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

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Pages 1-33
  3. Pages 63-85
  4. Pages 87-110
  5. Pages 111-135
  6. Pages 155-165
  7. Pages 167-191
  8. Pages 229-248
  9. Back Matter
    Pages 285-322

About this book


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

Authors and affiliations

  1. 1.Department of MathematicsUniversity of WürzburgWürzburgGermany

About the authors

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


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)