Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos (Developments in Mathematics, 1)

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdos, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating. This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating. This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdoes, one of the greatest mathematicians of this century. Let  denote Euler's arithmetic function, which counts the number of positive integers up to n that are coprime to n.