J. Sprang

collaborators

4 papers

math.NT2026

On the $P (t)$ -adic Littlewood conjecture in odd characteristics

Li Lai, Johannes Sprang

The $P (t)$ -adic Littlewood conjecture is a function field analogue of the famous $p$ -adic Littlewood conjecture in Diophantine approximation. In this paper, we prove that the $P(t)…

math.NT2026

$p$ -adic $L$ -functions for Hecke characters of totally imaginary fields

Guido Kings, Johannes Sprang

We construct $p$ -adic $L$ -functions interpolating critical $L$ -values of algebraic Hecke characters for arbitrary unramified primes $p$ and any totally imaginary field. For non-ord…

math.NT2025

Many $p$ -adic odd zeta values are irrational

Li Lai, Johannes Sprang

For any prime $p$ and $ε > 0$ we prove that for any sufficiently large positive odd integer $s$ at least $(c_{p} - ε) \frac{s}{l o g s}$ of the $p$ -adic zeta va…

math.NT2025

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…

On the P(t)-adic Littlewood conjecture in odd characteristics

p-adic L-functions for Hecke characters of totally imaginary fields

Many p-adic odd zeta values are irrational

Integral p-adic cohomology theories for open and singular varieties

On the $P (t)$ -adic Littlewood conjecture in odd characteristics

$p$ -adic $L$ -functions for Hecke characters of totally imaginary fields

Many $p$ -adic odd zeta values are irrational