Collected Papers II [Paperback]

Atle Selberg's early work, which lies in the fields of analysis and number theory, concerns the Riemann zeta-function, Dirichlets 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 Selbergs 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.

This book features the ideas and results of Atle Selberg, whose work cuts across many fields, from function theory to differential geometry, and has enlarged and transfigured the whole concept and structure of arithmetic.

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 olâ