#### 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.

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