28 citations · 147 across the 67 of their papers we have counts for
4 papers · 2 filters
Closed geodesics and bounded gaps
Anton Deitmar
The bounded gaps property of the prime numbers, as proven by Yitang Zhang, is considered for sequences of lengths of closed geodesics, which by the theory of Selberg zeta functions…
Counting and zeta functions over F1
Anton Deitmar, Shin-Ya Koyama, Nobushige Kurokawa
A new interpretation of zeta functions is given for F1-schemes which do not satisfy Soulé's condition. Functional equations for reductive groups are computed and a new definition o…
Geometric zeta functions for higher rank p-adic groups
Anton Deitmar, Ming-Hsuan Kang
The higher rank Lefschetz formula for p-adic groups is used to prove rationality of a several-variable zeta function attached to the action of a p-adic group on its Bruhat-Tits bui…
Zeta Functions of F1-buildings
Anton Deitmar, Ming-Hsuan Kang
The analogue of the Bruhat-Tits building of a p-adic group in F1-geometry is a single apartment. In this setting, the trace formula gives rise to a several variable zeta function a…