20 citations · 43 across the 14 of their papers we have counts for
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A Linear independence result for -adic -values
Johannes Sprang
The aim of this paper is to provide an analogue of the Ball-Rivoal theorem for -adic -values of Dirichlet characters. More precisely, we prove for a Dirichlet character a…
Many odd zeta values are irrational
Stéphane Fischler, Johannes Sprang, Wadim Zudilin
Building upon ideas of the second and third authors, we prove that at least values of the Riemann zeta function at odd integers betwe…
Infinitely many odd zeta values are irrational. By elementary means
Johannes Sprang
In this small note, we provide an elementary proof of the fact that infinitely many odd zeta values are irrational. For the first time, this celebrated theorem been proven by Rivoa…
The syntomic realization of the elliptic polylogarithm via the Poincaré bundle
Johannes Sprang
We give an explicit description of the syntomic elliptic polylogarithm on the universal elliptic curve over the ordinary locus of the modular curve in terms of certain -adic ana…
The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle
Johannes Sprang
In this paper, we describe the algebraic de Rham realization of the elliptic polylogarithm for arbitrary families of elliptic curves in terms of the Poincaré bundle. Our work build…
Eisenstein-Kronecker series via the Poincaré bundle
Johannes Sprang
A classical construction of Katz gives a purely algebraic construction of Eisenstein--Kronecker series using the Gauß--Manin connection on the universal elliptic curve. This approa…