12 citations · 17 across the 7 of their papers we have counts for
8 papers
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…
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…
Inhomogeneous minima of mixed signature lattices
Eva Bayer-Fluckiger, Martino Borello, Peter Jossen
We establish an explicit upper bound for the Euclidean minimum of a number field which depends, in a precise manner, only on its discriminant and the number of real and complex emb…
On the Mumford-Tate conjecture for 1-motives
Peter Jossen
We show that the statement analogous to the Mumford-Tate conjecture for abelian varieties holds for 1-motives on unipotent parts. This is done by comparing the unipotent part of th…
Detecting linear dependence on a simple abelian variety
Peter Jossen
Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) and let P be an element of A(k). We prove that if P belongs to X modulo almost al…
A counterexample to the local-global principle of linear dependence for abelian varieties
Peter Jossen, Antonella Perucca
Let A be an abelian variety defined over a number field k. Let P be a point in A(k) and let X be a subgroup of A(k). Gajda in 2002 asked whether it is true that the point P belongs…