5 citations · 14 across the 11 of their papers we have counts for
14 papers
On linear independence of Dirichlet values
Sanoli Gun, Neelam Kandhil, Patrice Philippon
The study of linear independence of for a fixed integer and varying depends critically on the parity of vis-à-vis . This has been investigated by a numbe…
Mumford-Tate groups of 1-motives and Weil pairing
Cristiana Bertolin, Patrice Philippon
We show how the geometry of a 1-motive (that is existence of endomorphisms and relations between the points defining it) determines the dimension of its motivic Galois group ${…
Semi-abelian analogues of Schanuel Conjecture and applications
Cristiana Bertolin, Patrice Philippon, Biswajyoti Saha +1
In this article we study Semi-abelian analogues of Schanuel conjecture. As showed by the first author, Schanuel Conjecture is equivalent to the Generalized Period Conjecture applie…
On two problems of Hardy and Mahler
Patrice Philippon, Purusottam Rath
It is a classical result of Mahler that for any rational number > 1 which is not an integer and any real 0 < c < 1, the set of positive integers n such that n < c n is nece…
An abelian analogue of Schanuel's conjecture and applications
Patrice Philippon, Biswajyoti Saha, Ekata Saha
In this article we study an abelian analogue of Schanuel's conjecture. This conjecture falls in the realm of the generalised period conjecture of Y. Andr{é}. As shown by C. Bertoli…
The distribution of Galois orbits of points of small height in toric varieties
José Ignacio Burgos Gil, Patrice Philippon, Juan Rivera-Letelier +1
We address the distribution properties of points of small height on proper toric varieties and applications to the related Bogomolov property. We introduce the notion of monocritic…