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Value-Distribution of L-Functions

Steuding, Jörn
Heftet / 2007 / Engelsk

Produktdetaljer

ISBN
9783540265269
Publisert
2007-06-06
Utgiver
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
13

Forfatter
Steuding, Jörn

Biografisk notat

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)

Value-Distribution of L-Functions

Steuding, Jörn
Heftet / 2007 / Engelsk
Steuding, Jörn
Heftet / 2007 / Engelsk
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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 Garunkstis, 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)

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. The text proves universality for polynomial Euler products. The authors' approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.
Les mer
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 title presents the results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.
Les mer
Includes supplementary material: sn.pub/extras
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Relaterte produkter

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 Garunkstis, 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)

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. The text proves universality for polynomial Euler products. The authors' approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.
Les mer
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 title presents the results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality.
Les mer
Includes supplementary material: sn.pub/extras
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9783540265269
Publisert
2007-06-06
Utgiver
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
13

Forfatter
Steuding, Jörn

Biografisk notat

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)

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