THE GAINESVILLE RAMANUJAN 125 CONFERENCE SCHEDULE
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1 THE GAINESVILLE RAMANUJAN 125 CONFERENCE November 5 7, 2012 University of Florida, Gainesville, FL Organizers: Krishnaswami Alladi (University of Florida), Frank Garvan (University of Florida) and Ae Ja Yee (The Pennsylvania State University) SCHEDULE Location. All lectures are in the Little Hall Atrium except for the Parallel Sessions. The Atrium is on the 3rd floor of Little Hall in Room 339. All refreshments will be served adjacent to the Atrium. Monday, November 5, :30-9:00am (outside Room 339 (Atrium) in Little Hall) FAST AND SIGN-IN 9:00-9:10am WELCOME Inauguration by Associate Dean Ata Sarajedini (CLAS) 9:10-10:00am George Andrews, Pennsylvania State University Mock Theta Functions and Ramanujan s Lost Notebook 10:00-10:30am 10:30-11:20am Ken Ono, Emory University Ramanujan s Last Prophecy: Quantum Modular Forms 11:30-11:50am Rob Rhoades, Stanford University Perspectives on Mock and False Theta Functions 12:00-1:45pm LUNCH 1
2 1:55-2:15pm Amanda Folsom, Yale University Quantum Modular Forms and a Conjecture of Ramanujan 1:55-2:15pm (Room: LIT 219) James Sellers, Pennsylvania State University Infinitely Many Congruences for Broken 2-Diamond Partitions Modulo 3 2:25-2:45pm Kailash C. Misra, North Carolina State University On Tensor Product Decomposition of ŝl(n) Modules 2:25-2:45pm (Room: LIT 219) Victor Moll, Tulane University p-adic Valuation of a Variety of Sequences, Including One Considered by Ramanujan 3:00-3:20pm Mat Rogers, University of Montreal Ramanujan Series Upside-Down 3:00-3:20pm (Room: LIT 203) David Bradley, University of Maine On q-analogs of Multiple Zeta Values 3:00-3:20pm (Room: LIT 223) Paul Jenkins, Brigham Young University Zeros of Weakly Holomorphic Modular Forms of Levels 2 and 3 3:30-3:50pm Oliver Dasbach, Louisiana State University Recovering Ramanujan Identities from the Colored Jones Polynomial 3:30-3:50pm (Room: LIT 203) Andrew Sills, Georgia Southern University Rademacher s Infinite Partial Fractions Conjecture is (Almost Certainly) False 3:30-3:50pm (Room: LIT 223) Marie Jameson, Emory University A Problem of Zagier on Quadratic Polynomials and Continued Fractions 3:50-4:10pm 4:10-5:00pm Dorian Goldfeld, Columbia University Ramanujan Sums 5:10-5:30pm Ae Ja Yee, Pennsylvania State University Partitions with Part Difference Conditions and Bressoud s Conjecture 2
3 5:10-5:30pm (Room: LIT 201) Cherng-Tiao Perng, Norfolk State University Factorization of Quaternions of Lipschitz Types and its Application to Jacobi s Formulas for the Number of Representations 5:10-5:30pm (Room: LIT 203) Larry Rolen, Emory University Integrality Properties of the CM-Values of Certain Weak Maass Forms 6:30-10:00pm BANQUET Tuesday, November 6, :00-8:30am FAST 8:30-9:20am Bruce Berndt, University of Illinois Discarded Partial Manuscripts of Published Papers and Partial Manuscripts of Unpublished Papers, Published with Ramanujan s Lost Notebook 9:30-10:20am Robert Vaughan, Pennsylvania State University Some Problems of Partitio Numerorum : Hybrid Expressions 10:30-11:00am 11:00-11:20am Jim Lepowsky, Rutgers University A Motivated Proof of Gordon s Identities 11:30-11:50am Jonathan Sondow, New York Ramanujan, Robin, the Riemann Hypothesis, and Recent Developments 11:50-12:20pm Hershel Farkas, Hebrew University of Jerusalem Theta Constant Identities for Z n Curves 12:30-1:45pm LUNCH 1:55-2:15pm Gérald Tenenbaum, Institut Elie Cartan Nancy On the Core of an Integer 3
4 3:00-3:20pm Mike Hirschhorn, University of New South Wales An Identity that Changed the Course of History 3:00-3:20pm (Room: LIT 203) Michael Griffin, Emory University SU(2)-Donaldson Invariants of the Complex Projective Plane 3:30-3:50pm Daniel Schultz, University of Illinois Cubic Theta Functions 3:30-3:50pm (Room: LIT 203) John Duncan, Case Western Reserve University Umbral Mock Theta Functions 3:50-4:10pm 4:10-5:00pm Kathrin Bringmann, University of Cologne Asymptotic Formulas for Stacks 5:10-5:30pm Atul Dixit, Tulane University Generalized Higher Order spt-functions 5:10-5:30pm (Room: LIT 201) Hasan Coskun, Texas A&M University Commerce Multiple Special Numbers 5:10-5:30pm (Room: LIT 203) Brandt Kronholm, Juniata College Towards a Complete Characterization of New Ramanujan Congruence Properties of the Restricted Partition Function p(n, m) 5:40-6:00pm Nick Andersen, University of Illinois Hecke-type Congruences for two Smallest Parts Functions 5:40-6:00pm (Room: LIT 201) Olivia Beckwith, Harvey Mudd College The Distribution of Generalized Ramanujan Primes 5:40-6:00pm (Room: LIT 203) Hamza Yesilyurt, Bilkent University, Ankara On Rogers Ramanujan functions, binary quadratic forms and eta-quotients 7:30-10:00pm PARTY 4
5 Wednesday, November 7, :00-8:30am FAST 8:30-9:20am Kannan Soundararajan, Stanford University Moments of Zeta and L-Functions 9:30-10:20am Christian Krattenthaler, Vienna University A Riccati Differential Equation and Free Subgroup Numbers for P SL 2 (Z) Modulo Powers of Primes 10:30-11:00am 11:00-11:20am Cam Stewart, University of Waterloo On Divisors of Binary Recurrence Sequences 11:30-12:20pm Doron Zeilberger, Rutgers University The Greatest Experimental Mathematician 12:20-1:45pm LUNCH 1:55-2:15pm Lisa Lorentzen, Norwegian University of Science and Technology Continued Fractions Converge with Probability 1 1:55-2:15pm (Room: LIT 219) Robert Lemke Oliver, Emory University Multiplicative Functions Dictated by Artin Symbols 2:25-2:45pm Richard Askey, University of Wisconsin A New Look at Some Inequalities for Polynomials 2:25-2:45pm (Room: LIT 219) Ling Long, Iowa State University and Cornell University Ramanujan-type Supercongruences 3:00-3:20pm Alexander Berkovich, University of Florida Partition Inequalities 3:00-3:20pm (Room: LIT 203) 5
6 Gaurav Bhatnagar, Educomp Solutions How to Prove Ramanujan s q-continued Fractions 3:00-3:20pm (Room: LIT 223) Michael Th. Rassias, ETH, Zurich Certain Cotangent Sums and their Applications 3:30-3:50pm Keith Grizzell, University of Florida Some Delicate Partition Inequalities 3:30-3:50pm (Room: LIT 203) Kagan Kursungoz, Sabanci University, Istanbul Andrews Style Theorems for Regular and Overpartitions 3:30-3:50pm (Room: LIT 223) Jose Plinio Santos, University of Campinas, Brazil Combinatorial Interpretations as Two-Line Array for the Mock Theta Functions 3:50-4:10pm 4:10-4:30pm Karl Mahlburg, Louisiana State University Asymptotic Inequalities for Positive Crank and Rank Moments 4:40-5:00pm Sergei Suslov, Arizona State University On Bilateral Jackson Formula 6
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