4 citations · 4 across the 3 of their papers we have counts for
7 papers
On Siegel's problem and Dwork's conjecture for -functions
Javier Fresán, Yeuk Hay Joshua Lam, Yichen Qin
We answer in the negative Siegel's problem for -functions, as formulated by Fischler and Rivoal. Roughly, we prove that there are -functions that cannot be written as polynom…
A construction of the polylogarithm motive
Clément Dupont, Javier Fresán
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line , which is an extension…
Fixed-point statistics from spectral measures on tensor envelope categories
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetr…
Une introduction aux périodes
Javier Fresán
This survey article is the outgrowth of two talks given at the Journées X-UPS "Périodes et transcendance" at École polytechnique. Periods are complex numbers whose real and imagina…
A non-hypergeometric E-function
Javier Fresán, Peter Jossen
We answer in the negative Siegel's question whether all E-functions are polynomial expressions in hypergeometric E-functions. Namely, we show that if an irreducible differential op…
Équirépartition de sommes exponentielles (travaux de Katz)
Javier Fresán
Many exponential sums over finite fields, including Gauss sums and Kloosterman sums, arise as the Fourier transform with respect to a character of the trace function of an -a…