Hall 123

Siegel-Tatuzawa Theorem

Sunil L Naik

IMSc

C.L. Siegel proved that 'For any $\epsilon> 0$ and any real primitive character $\chi$ to the modulus k, $ L(1,\chi) > c(\epsilon)/k^{\epsilon}$'. But the positive constant $c(\epsilon)$ is ineffective. While T.Tatuzawa has shown that $L(1,\chi) > 0.1\epsilon)/k^{\epsilon}$, with one possible exception. I will briefly explain the proof given by Tatuzawa.

Note: This is an in-person seminar. Please follow all covid protocols.