Carl Pomerance – författare

This book offers a comprehensive exploration of cutting-edge research in Analytic Number Theory, celebrating the profound contributions of Helmut Maier on his 70th birthday. With chapters penned by leading mathematicians from around the globe, this volume presents state-of-the-art findings and insights into a wide array of topics within the field. Readers will encounter in-depth studies on subjects such as random matrix models for cusp forms, the Chevalley-Bass theorem, and Weierstrass Fractal Drums. The book also delves into the $L_q$ norm of Rudin-Shapiro polynomials, shifted-prime divisors, and sharp local estimates for smooth numbers. Further, it examines the invariants of $L$-functions, an analogue of the Mertens function, the Riemann Hypothesis zeta function, Dirichlet polynomials and exponential sums. This collection is an invaluable resource for graduate students and seasoned researchers in Analytic Number Theory and related disciplines. It not only honors Maier's groundbreaking work but also serves as a beacon for future research, offering insights and methodologies that will inspire continued exploration and discovery in the field.

This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.

This volume contains selected refereed papers based on lectures presented at the ‘Integers Conference 2007’, an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.The proceedings include contributions from many distinguished speakers, including George Andrews, Neil Hindman, Florian Luca, Carl Pomerance, Ken Ono and Igor E. Shparlinski. Among the topics considered in these papers are additive number theory, multiplicative number theory, sequences, elementary number theory, theory of partitions, and Ramsey theory.

This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and  trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler’s totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource.Contributors to this volume:Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.