Number Theory Seminar
Presented by: Christophe Vignat
Title: “A Probabilistic Approach to Some Elliptic Functions”
Dan Romik recently published  some unexpected results about the Taylor coefficients of the Jacobi $\theta_3$ function. I will show how a probabilistic interpretation of Romik's results allows to interpret and extend them to the case of the $\theta_3(q)$ function with arbitrary parameter $q$. I will also show how some elliptic functions such as Dedekind' eta function appear naturally in some probabilistic contexts. This is joint work with Tanay Wakhare and Lin Jiu.
 D. Romik, The Taylor coefficients of the Jacobi theta constant $\theta_3$, The Ramanujan Journal, 2019.
#319 Colloquium Room Chase BuildingNumber Theory Seminar