blog — Terence Tao — 19 Oct 2026
A sketch of the proof of non-existence of Siegel zeroes
#analytic-number-theory #dirichlet-characters #siegel-zeroes
For a given prime , the Legendre symbol is defined as follows: if is a quadratic residue modulo , then ; if is a quadratic non-residue modulo , then ; and if divides , then . Let be an integer that is not a perfect square. (One could require to be a fundamental discriminant if […]