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On Epstein's zeta function and related random functions

By Anders Södergren

Appears in collection : Zeta Functions / Fonctions Zêta

In this talk I will discuss questions concerning the asymptotic behavior of the Epstein zeta function $E_{n}\left ( L, s \right )$ in the limit of large dimension $n$. In particular I will be interested in the behavior of $E_{n}\left ( L, s \right )$ for a random lattice $L$ of large dimension $n$ and $s$ a complex number in the critical strip. Along the way we will encounter certain random functions that are closely related to $E_{n}\left ( L, s \right )$ and interesting in their own right.

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Citation data

  • DOI 10.24350/CIRM.V.19586003
  • Cite this video Södergren, Anders (02/12/2019). On Epstein's zeta function and related random functions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19586003
  • URL https://dx.doi.org/10.24350/CIRM.V.19586003

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