Collected papers
著者
書誌事項
Collected papers
（Springer Collected Works in Mathematics）
Springer-Verlag, 2014
- v. 1 : pbk.
- v. 2 : pbk.
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注記
Collected papers I originally published: 1989
Collected papers II originally published: 1991
内容説明・目次
- 巻冊次
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v. 1 : pbk. ISBN 9783642410215
内容説明
Atle Selberg's early work, which lies in the fields of analysis and number theory, concerns the Riemann zeta-function, Dirichlet's L-functions, the Fourier coefficients of modular forms, the distribution of prime numbers and the general sieve method. It is brilliant and unsurpassed, and is in the finest classical tradition. His later work, which cuts across function theory, operator theory, spectral theory, group theory, topology, differential geometry and number theory, has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best and reveals Selberg to be one of the master mathematicians of our time. This publication will enable the reader to perceive the depth and originality of Atle Selberg's ideas and results, and sense the scale and intensity of their influence on contemporary mathematical thought.
Volume I contains his early papers until 1987.
目次
41 original papers by Atle Selberg.- Bibliography.- Acknowledgements.
- 巻冊次
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v. 2 : pbk. ISBN 9783642410222
内容説明
Atle Selberg's early work, which lies in the fields of analysis and number theory, concerns the Riemann zeta-function, Dirichlet's L-functions, the Fourier coefficients of modular forms, the distribution of prime numbers and the general sieve method. It is brilliant and unsurpassed, and is in the finest classical tradition. His later work, which cuts across function theory, operator theory, spectral theory, group theory, topology, differential geometry and number theory, has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best and reveals Selberg to be one of the master mathematicians of our time. This publication will enable the reader to perceive the depth and originality of Atle Selberg's ideas and results, and sense the scale and intensity of their influence on contemporary mathematical thought.
The second volume contains material on which Selberg has lectured - some later papers from 1988 onward and, in the major part, the "Lectures on Sieves".
目次
Contents: Linear Operators and Automorphic Forms.- Remarks on the Distribution of Poles of Eisenstein Series.- Old and New Conjectures and Results about a Class of Dirichlet Series.- Lectures on Sieves.- Bibliography.- Acknowledgements.
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