 CARMA SEMINAR
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Hypergeometric heritage of W.N. Bailey
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Tue, 16^{th} May 2017
 Abstract:
Part of my 2016 SSP included completion of a semihistorical review on the mathematics of W.N. Bailey, a familiar name in some combinatorics circles in relation with the "Bailey lemma" and "Bailey pairs." My personal encounters with the mathematician from the first half of the 20th century were somewhat different and more related to applications of special functions to number theory—the subject Bailey had never dealt with himself. One motivation for my writing was the place where I spent my SSP—details to be revealed in the talk. There will be some formulas displayed, sometimes scary, but they will serve as a background to historical achievements. Broad audience is welcome.
 [Permanent link]
 CARMA OANT SEMINAR
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Mock theta functions
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Access Grid Venue: CARMA [ENQUIRIES]
 Time and Date: 3:00 pm, Tue, 3^{rd} Sep 2013
 Abstract:
In his deathbed letter to G.H. Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom, Ono and Rhoades have proved an elegant result about the match for a general family related to Dyson’s rank (mock theta) function and the Andrews—Garvan crank (modular) function. In my talk I will outline some heuristics and elementary ingredients of the proof.
 [Permanent link]
 CARMA NUMBER THEORY SHORT COURSE
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Hilbert's 7th Problem
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Dates: Wed, 4^{th} Apr 2012  Wed, 4^{th} Apr 2012
 11:00 am  1:30 pm and 2:30 pm  4:00 pm
 Abstract:
The problem posed by Hilbert in 1900 was resolved in the 1930s independently by A. Gelfond and Th. Schneider. The statement is that $a^b$ is transcendental for algebraic $a \ne 0,1$ and irrational algebraic $b$. The aim of the two 2hour lectures is to give a proof of this result using the socalled method of interpolation determinants.
 [Permanent link]
 CARMA COLLOQUIUM
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Odds of Riemann's zeta function
 Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Thu, 4^{th} Aug 2011
 Abstract:
In my talk I will try to overview ideas behind (still recent)
achievements on arithmetic properties of numbers
$\zeta(s)=\sum_{n=1}^\infty n^{s}$ for integral $s\ge2$,
with more emphasis on odd $s$. The basic ingredients of
proofs are generalized hypergeometric functions and
linear independence criteria. I will also address some
"most recent" results and observations in the subject,
as well as connections with other problems in number theory.
 [Permanent link]
 CARMA ANALYSIS AND NUMBER THEORY SEMINAR
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Ramanujanstyle mathematics for Mahler measures
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 3:30 pm, Wed, 13^{th} Apr 2011
 Abstract:
In my talk I will review some recent progress on evaluations of Mahler measures via hypergeometric series and Dirichlet Lseries. I will provide more details for
the case of the Mahler measure of $1+x+1/x+y+1/y$, whose evaluation was observed by C. Deninger and conjectured by D. Boyd (1997). The main ingredients
are relations between modular forms and hypergeometric series in the spirit of Ramanujan. The talk is based on joint work with Mat Rogers.
 [Permanent link]
 CARMA ANALYSIS AND NUMBER THEORY SEMINAR
 Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
 Title: Hypergeometric evaluations of lattice sums
 Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 3:30 pm, Wed, 8^{th} Sep 2010
 Abstract:
It is an expository talk about (conjectural) hypergeometric evaluations of lattice sums
$F(a,b,c,d)=(a+b+c+d)^2\sum_{n_j=\infty,\ j=1,2,3,4}^\infty \frac{(1)^{n_1+n_2+n_3+n_4}}{(a(6n_1+1)^2+b(6n_2+1)^2+c(6n_3+1)^2+d(6n_4+1)^2)^2}$
which arise as the values of Lfunctions of certain elliptic curves.
 [Permanent link]
