G. Kings

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19972026

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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}.

math.NT2024

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.NT1997

Degeneration of the l-adic Eisenstein symbol and of the elliptic polylog

Annette Huber, Guido Kings

The main new result is the computation of the degeneration of l-adic Eisenstein classes at the cusps. This is done by relating it to the degeneration of the elliptic polylog. These…

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

Algebraicity of critical Hecke L-values

Another look at p-adic Fourier-theory

Degeneration of the l-adic Eisenstein symbol and of the elliptic polylog

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

Algebraicity of critical Hecke $L$ -values

Another look at $p$ -adic Fourier-theory