Chennai Mathematical Institute


3:30 pm, Lecture Hall 3
On a conjecture of Livingston

Siddhi Pathak
Queens University, Canada.


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.