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

Preface.- List of Participants.- Plus-Minus Weighted Zero-Sum Constants: A Survey.- Vector-valued Modular Forms and the Seventh Order Mock Theta Functions.- The Alladi-Schur Polynomials and Their Factorization.- New Representations for s(q) via Reciprocity Theorems.- Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet L-Functions.- New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions.- The Appearance of H. F. Baker and E. W. Hobson in “The Man Who Knew Infinity”.- A Bibasic Heine Transformation Formula and Ramanujan’s 2f1 Transformations.- Adventures with the OEIS.- Three-Colored Partitions and Dilated Companions of Capparelli’s Identities.- Nearly Equal Distributions of the Rank and the Crank of Partitions.- Holonomic Alchemy and Series for 1/p.- Integral Points on a Very Flat Convex Curve.- Unification, Refinements and Companions of Generalisations of Schur’s Theorem.- Integrals Involving Rudin-Shapiro Polynomials and Sketch of a Proof of Saffari’s Conjecture.- From Ramanujan to Groups of Rationals: A personal history of abstract multiplicative functions.- On an Additive Prime Divisor Function of Alladi and Erdos.- Ramanujan’s Tau Function.- Construction of Cusp Forms Using Rankin-Cohen Brackets.- An Open Problem of Corteel, Lovejoy, and Mallet.- On the Asymptotics of Partial Theta Functions.- Overpartitions and Truncated Partition Identities.- Congruences Modulo Powers of 2 for the Number of Unique Path Partitions.- Complex Form of Classical and Quantum Electrodynamics.- On a System of q-Partial Differential Equations with Applications to q-Series.- Asymmetric Generalizations of Schur’s theorem.- Local Behavior of the Composition of the Aliquot and Co-Totient Functions.- On the Universal Mock Theta Function g2 and Zwegers’ µ-function.- Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series.- Littlewood Polynomials.- Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester.- Estimates of li(q(x))-p(x) and the Riemann Hypothesis.- Partition-Theoretic Formulas for Arithmetic Densities.- A NewWitness Identity for 11 | p(11n+6).- On the Representations of a Positive Integer by Certain Classes of Quadratic Forms in Eight Variables.- A Note on Thue Inequalities with Few Coefficients.- Basic Hypergeometric Summations from Rook Theory.- Overpartitions and Singular Overpartitions.- A Classical q-Hypergeometric Approach to the A (2) 2 Standard Modules.- Generalized Mertens Sums. 

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.