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Value-Distribution of L-Functions: Lecture Notes in Mathematics, cartea 1877

Autor Jörn Steuding
en Limba Engleză Paperback – 6 iun 2007

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Specificații

ISBN-13: 9783540265269
ISBN-10: 3540265260
Pagini: 340
Ilustrații: XIII, 322 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.51 kg
Ediția:2007
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Academic/professional/technical: Research and professional

Cuprins

Dirichlet Series and Polynomial Euler Products.- Interlude: Results from Probability Theory.- Limit Theorems.- Universality.- The Selberg Class.- Value-Distribution in the Complex Plane.- The Riemann Hypothesis.- Effective Results.- Consequences of Universality.- Dirichlet Series with Periodic Coefficients.- Joint Universality.- L-Functions of Number Fields.

Recenzii

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)

Notă biografică

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)

Caracteristici

Includes supplementary material: sn.pub/extras