55 citations · 93 across the 21 of their papers we have counts for
24 papers
Universal Families of Eulerian Multiple Zeta Values in Positive Characteristics
Kwun Chung, Tuan Ngo Dac, Federico Pellarin
We study positive characteristic multiple zeta values associated to general curves over together with an -rational point as introduced by Thakur…
Trivial multiple zeta values in Tate algebras
O. Gezmi{ş}, F. Pellarin
We study trivial multiple zeta values in Tate algebras. These are particular examples of the multiple zeta values in Tate algebras in positive characteristic introduced by the seco…
On extremal quasi-modular forms after Kaneko and Koike
Federico Pellarin, Gabriele Nebe
Kaneko and Koike introduced the notion of extremal quasi-modular form and proposed conjectures on their arithmetic properties. The aim of this note is to prove a rather sharp multi…
The analytic theory of vectorial Drinfeld modular forms
Federico Pellarin
In this paper we generalise the notion of Drinfeld modular form for the group := GL2(Fq[]) to a vector-valued setting, where the target spaces are certain modules over posit…
From the Carlitz exponential to Drinfeld modular forms
Federico Pellarin
This paper contains the written notes of a course the author gave at the VIASM of Hanoi in the Summer 2018. It provides an elementary introduction to the analytic naive theory of D…
On a variant of Schanuel conjecture for the Carlitz exponential
F Pellarin
We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponential function over Tate algebras and allied functions. Another purpose of the prese…