Analytic Number Theory, Modular Forms and q-Hypergeometric Series (eBook)

Frank Garvan is a professor of Mathematics at the University of Florida. His research interests are in Number Theory, Basic Hypergeometric Series and Symbolic Computation. George Andrews is the Evan Pugh University Professor in Mathematics at Penn State University. His research interests are Number Theory and Partitions.

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 logarithm: beyond the 1979 limitations  Doron Zeilberger, Rutgers University Krishna Alladi’s Early Love: 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