20 citations · 43 across the 14 of their papers we have counts for
15 papers
On the -adic Littlewood conjecture in odd characteristics
Li Lai, Johannes Sprang
The -adic Littlewood conjecture is a function field analogue of the famous -adic Littlewood conjecture in Diophantine approximation. In this paper, we prove that the $P(t)…
-adic -functions for Hecke characters of totally imaginary fields
Guido Kings, Johannes Sprang
We construct -adic -functions interpolating critical -values of algebraic Hecke characters for arbitrary unramified primes and any totally imaginary field. For non-ord…
Many -adic odd zeta values are irrational
Li Lai, Johannes Sprang
For any prime and we prove that for any sufficiently large positive odd integer at least of the -adic zeta va…
Integral p-adic cohomology theories for open and singular varieties
Veronika Ertl, Atsushi Shiho, Johannes Sprang
For open and singular varieties in positive characteristic p we study the existence of an integral p-adic cohomology theory which is finitely generated, compatible with log crystal…
Eisenstein-Kronecker classes, integrality of critical values of Hecke -functions and -adic interpolation
Guido Kings, Johannes Sprang
We show that for an arbitrary totally complex number field the (regularized) critical -values of algebraic Hecke characters of divided by certain periods are algebraic i…
A Linear independence result for -adic -values
Johannes Sprang
The aim of this paper is to provide an analogue of the Ball-Rivoal theorem for -adic -values of Dirichlet characters. More precisely, we prove for a Dirichlet character a…