Johannes Sprang

collaborators

4 papers

math.NT2025

Algebraicity of critical Hecke $L$ -values

Guido Kings, Johannes Sprang

In this survey, we review the known results on the algebraicity of critical values of Hecke $L$ -functions and explain the new developments in \cite{Kings-Sprang}.

math.NT2025

$S$ -units and period length of continued fractions of linear recursions

Veekesh Kumar, Vivek Singh, Johannes Sprang

Let $(A_{n})_{n \in Z}$ be a linear recurrence sequence with values in a real quadratic field. In this paper, we study the question whether the period length of the continued…

math.NT2025

On the irrationality of certain $p$ -adic zeta values

Li Lai, Cezar Lupu, Johannes Sprang

A famous theorem of Zudilin states that at least one of the Riemann zeta values $ζ (5), ζ (7), ζ (9), ζ (11)$ is irrational. In this paper, we establish the $p$ -adic analogue of Zudili…

math.NT2025

Integer-valued polynomials and $p$ -adic Fourier theory

Laurent Berger, Johannes Sprang

The goal of this paper is to give a numerical criterion for an open question in $p$ -adic Fourier theory. Let $F$ be a finite extension of $Q_{p}$ . Schneider and Teitelbaum d…

Algebraicity of critical Hecke L-values

S-units and period length of continued fractions of linear recursions

On the irrationality of certain p-adic zeta values

Integer-valued polynomials and p-adic Fourier theory

Algebraicity of critical Hecke $L$ -values

$S$ -units and period length of continued fractions of linear recursions

On the irrationality of certain $p$ -adic zeta values

Integer-valued polynomials and $p$ -adic Fourier theory