G. Kings

collaborators

3 papers

math.NT2026

Another look at $p$ -adic Fourier-theory

Guido Kings, Johannes Sprang

In this short note, we show that a natural generalization of the $p$ -adic Fourier theory of Schneider and Teitelbaum follows immediately from the classification of $p$ -divisible gr…

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

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}.

Another look at p-adic Fourier-theory

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

Algebraicity of critical Hecke L-values

Another look at $p$ -adic Fourier-theory

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

Algebraicity of critical Hecke $L$ -values