6 papers
A note on the irrationality of
Li Lai, Johannes Sprang, Wadim Zudilin
In a spirit of Apéry's proof of the irrationality of , we construct a sequence of rational approximations to the -adic zeta value which satisfy $0 < |ζ_…
Another look at -adic Fourier-theory
Guido Kings, Johannes Sprang
In this short note, we show that a natural generalization of the -adic Fourier theory of Schneider and Teitelbaum follows immediately from the classification of -divisible gr…
Algebraicity of critical Hecke -values
Guido Kings, Johannes Sprang
In this survey, we review the known results on the algebraicity of critical values of Hecke -functions and explain the new developments in \cite{Kings-Sprang}.
-units and period length of continued fractions of linear recursions
Veekesh Kumar, Vivek Singh, Johannes Sprang
Let 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…
On the irrationality of certain -adic zeta values
Li Lai, Cezar Lupu, Johannes Sprang
A famous theorem of Zudilin states that at least one of the Riemann zeta values is irrational. In this paper, we establish the -adic analogue of Zu…
Integer-valued polynomials and -adic Fourier theory
Laurent Berger, Johannes Sprang
The goal of this paper is to give a numerical criterion for an open question in -adic Fourier theory. Let be a finite extension of . Schneider and Teitelbaum d…