Ramanujan’s Ranks, Mock Theta Functions, and Beyond Lecture Slides

Ramanujan’s Ranks, Mock Theta Functions, and Beyond

May 16-20, 2022, The University of Texas Rio Grande Valley

Frank Garvan, lecturer

RAMANUJAN’S PARTITON CONGRUENCES

THE COMBINATORICS OF PARTITION CONGRUENCES

CRANK AND RANK CONGRUENCES – PART 1

CRANK AND RANK CONGRUENCES – PART 2

RAMANUJAN’S MOCK THETA FUNCTIONS

TRANSFORMATION PROPERTIES FOR DYSON’S RANK FUNCTION

HOLOMORPHIC PROJECTION

ZAGIER’S HIGHER ORDER MOCK THETA FUNCTIONS

THE HURWITZ CLASS NUMBER, MOCK THETA FUNCTIONS AND THE UNIMODAL SEQUENCE CONJECTURES

CONGRUENCES FOR THE RANK AND CRANK PARITY FUNCTIONS