Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

Samprit Ghosh

Let $\chi$ be a non-principal Dirichlet character, and let $L(s,\chi )$ be the associated Dirichlet $L$-function. We write $\mathcal{L}(s,\chi )$ for its logarithmic derivative $L'(s,χ)/L(s,χ…