PIMS CRG Seminar Series: L-Functions in Analytic Number Theory: Akshaa Vatwani

We consider L-functions L₁, . . . , L_k from the Selberg class having polynomial Euler product and satisfying Selberg’s orthonormality condition. We show that on every vertical line s = σ+it in the complex plane with σ ∈ (1/2, 1), these L-functions simultaneously take “large” values inside a small neighborhood. Our method extends to σ = 1 unconditionally, and to σ = 1/2 on the generalized Riemann hypothesis. We also obtain similar joint omega results for arguments of the given L-functions. This is joint work with Kamalakshya Mahatab and Łukasz Pankowski.

 

This event is part of the PIMS CRG Group on L-Functions in Analytic Number Theory. More details can be found on the webpage here: https://sites.google.com/view/crgl-functions/crg-weekly-seminar?authuser=0