Title1: Multiplicative functions, eta products and Ramanujan's conjectures

Title 2: Congruences for sums involving binomial coefficients

Speaker: Prof. Zhihong Sun （Huaiyin Teachers College）

Time: Sun, Oct.4 2020, PM: 15:00-17:0

Location: 4318, Building No.4, Wushan Campus

Inviter: Prof. Su Hu

Abstract1:

        In this talk we discuss multiplicative functions generated by eta products and Euler products for certain Dirichlet series conjectured by Ramanujan in his Lost Notebook.

Abstract2:

        In this talk, we summarize results and conjectures on congruences for sums involving binomial coeficients modulo p2 or p3,where p is an odd prime and m is an integer not divisible by p.