Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Pellarin, Federico"'
We study positive characteristic multiple zeta values associated to general curves over $\mathbb F_q$ together with an $\mathbb F_q$-rational point $\infty$ as introduced by Thakur. For the case of the projective line these values were defined as ana
Externí odkaz:
http://arxiv.org/abs/2111.06973
Autor:
Pellarin, Federico
In this paper we generalise the notion of Drinfeld modular form for the group $\Gamma$ := GL2(Fq[$\theta$]) to a vector-valued setting, where the target spaces are certain modules over positive characteristic Banach algebras over which are defined wh
Externí odkaz:
http://arxiv.org/abs/1910.12743
Autor:
Pellarin, Federico, Nebe, Gabriele
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 multiplicity estimate for these quasi-modular forms. The note ends with dis
Externí odkaz:
http://arxiv.org/abs/1910.11668
Autor:
Pellarin, Federico
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 Drinfeld modular forms for the simplest 'Drinfeld modular group' GL 2 (
Externí odkaz:
http://arxiv.org/abs/1910.00322
Publikováno v:
In Advances in Mathematics 1 June 2023 422
Autor:
Pellarin, Federico
We prove a sum-shuffle formula for multiple zeta values in Tate algebras (in positive characteristic), introduced in \cite{PEL3}.This follows from an analog result for double twisted power sums, implying that an ${\mathbb{F}\_p$-vector space generate
Externí odkaz:
http://arxiv.org/abs/1609.08873
Autor:
Pellarin, Federico
We discuss certain representations of GL 2 Fq[T] in equal characteristic and associated vectorial modular forms
Comment: some further corrections
Comment: some further corrections
Externí odkaz:
http://arxiv.org/abs/1603.07912
Autor:
Pellarin, Federico, Perkins, Rudolph
In this paper, we study various twisted A-harmonic sums, named following the seminal log-algebraicity papers of G. Anderson. These objects are partial sums of new types of special zeta values introduced by the first author and linked to certain rank
Externí odkaz:
http://arxiv.org/abs/1512.05953
We investigate the arithmetic of special values of a new class of $L$-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use th
Externí odkaz:
http://arxiv.org/abs/1501.06804
Autor:
Pellarin, Federico, Perkins, Rudolph
We present new methods for the study of a class of generating functions introduced by the second author which carry some formal similarities with the Hurwitz zeta function. We prove functional identities which establish an explicit connection with ce
Externí odkaz:
http://arxiv.org/abs/1409.6006