Analytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016

by George E. Andrews (Editor)

Manjul Bhargava, Princeton University Squarefree values of polynomial discriminants Ron Graham, University of California San Diego Monochromatic solutions to linear equations Aleksandar Ivic, Serbian Academy of Sciences Hardy's function Z(t) - results and problems Roger Baker, Brigham Young University Limit points and long gaps between primes 1 Dan Goldston, San Jose State University Sums and Differences of Pairs of Primes Helmut Maier, Universit¨at Ulm Recent Results on Gaps between Primes (joint with Michael Th. Rassias) Janos Pintz, MTA R´enyi Institute, Budapest, Hungary On some old conjectures of Paul Erd˝os on the difference of consecutive primes G´erald Tenenbaum, Universit´e de Lorraine Effective mean-value estimates for complex multiplicative functions Cameron Stewart, University of Waterloo On the abc conjecture Winnie Li, Pennsylvania State University Combinatorial zeta and L-functions James Maynard, University of Oxford Linear equations in primes James Maynard, University of Oxford Talk 2: Prime values of polynomials Wadim Zudilin, University of Newcastle, Australia On certain irrational values of the beyond the 1979 limitations Doron Zeilberger, Rutgers University Krishna Alladi's Early Irrationality Measures of Famous Constants Kevin Ford, University of Illinois Large gaps between primes and related problems Kathrin Bringman, University of Cologne Ramanujan and meromorphic modular forms Ken Ono, Emory Unversity Riemann Hypothesis for Period Polynomials of Modular FormsMourad Ismail, University of Central Florida Identities related to the Rogers-Ramanujan identitiesJim Lepowsky, Rutgers University "Motivated proofs" of generalized Rogers-Ramanujan identities as stimuli for new ideas in vertex operator algebra theory Christian Krattenthaler, University of Vienna Discrete analogues of Macdonald-Mehta integrals

788 pages, Paperback

Published March 6, 2018