Collected Papers II

ISBN-13: 9783642410222 / Angielski / Miękka / 2014 / 253 str.

Atle Selberg

Opis

From the Foreword by K. Chandrasekharan: The early work of Atle Selberg lies in the fields of analysis and number theory. It 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 in the finest classical tradition. His later work cuts across many fields: function theory, operator theory, spectral theory, group theory, topology, differential geometry, and number theory. It has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best, and makes him 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 Atle Selberg has lectured -some papers from 1988 on andin the major part the "Lectures on Sieves.""

Spis treści

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.