3:30 pm, Lecture Hall 3
On a conjecture of Livingston
Siddhi Pathak
Queens University, Canada.
22-05-17

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Abstract

In the early 1960s, Erdos conjectured that the L-series attached to periodic arithmetical functions with period q, taking the value 0 on multiples of q and values in {1,-1} otherwise, do not vanish at s=1. In an attempt to resolve this conjecture, Livingston predicted the linear independence of logarithm of certain algebraic numbers. In this talk, we outline recent work settling Livingston's conjecture.