BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Distribution of values of $L$-functions in the critical strip - Function Field version Lumley, Allysa


Let $q\equiv 1 \pmod 4$ be a prime power. Consider $D$ to be a square-free monic polynomial over $\mathbb{F}_q[T]$ and $\chi_D$ the Kronecker symbol associated to $D$. In this talk we will discuss the distribution of large values for $L(\sigma,\chi_D)$ for $1/2< \sigma \le 1$. We will note the expected similarities to the situation over quadratic extensions of $\mathbb{Q}$ and the surprising differences.

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