Number Theory Seminar

Date: September 24, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Naser Talebizadeh Sardari, University of Wisconsin

Title: Bounds on the multiplicity of the Hecke eigenvalues

Abstract: Fix an integer N and a prime p\nmid N where p> 3. Given any p-adic valuation v_p on \bar{\mathbb{Q}} (normalized with v_p(p)=1) and an algebraic integer \lambda \in \bar{\mathbb{Q}}; e.g., \lambda=0, we show that the number of newforms f of level N and even weight k such that T_p(f)=\lambda f is bounded independently of k and only depends on v_p(\lambda) and N.

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