Lethbridge Number Theory and Combinatorics Seminar: Nathan Ng

The linear independence conjecture asserts that the multiset
of positive ordinates of the zeros of automorphic L-functions is linearly
independent over the eld of rational numbers. This deep conjecture
implies that if 1=2 + i  is a zero of the Riemann zeta function, then
1=2 + 2i  is a not a zero of the zeta function. I will show that on
the Riemann hypothesis this is true innitely often. I will also discuss
variants of this phe