18 citations · 58 across the 13 of their papers we have counts for
13 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…
Sidon sets in algebraic geometry
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We report new examples of Sidon sets in abelian groups arising from generalized jacobians of curves, and discuss some of their properties with respect to size and structure.
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…
Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We study the arithmetic Fourier transforms of trace functions on general connected commutative algebraic groups. To do so, we first prove a generic vanishing theorem for twists of…
Quantitative sheaf theory
W. Sawin, A. Forey, J. Fresán +1
We introduce a notion of complexity of a complex of ell-adic sheaves on a quasi-projective variety and prove that the six operations are "continuous", in the sense that the complex…
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…
Quadratic relations between Bessel moments
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
Motivated by the computation of certain Feynman amplitudes, Broadhurst and Roberts recently conjectured and checked numerically to high precision a set of remarkable quadratic rela…
Quadratic relations between periods of connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption…
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…
Hodge theory of Kloosterman connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We construct motives over the rational numbers associated with symmetric power moments of Kloosterman sums, and prove that their L-functions extend meromorphically to the complex p…
Algebraic Cogroups and Nori-Motives
Javier Fresán, Peter Jossen
We introduce the notion of algebraic cogroup over a subfield of the complex numbers, and use it to prove that every Nori motive over is isomorphic to a quotient of a motive…