16 citations · 17 across the 4 of their papers we have counts for
5 papers
Small gaps in coefficients of L-functions and B-free numbers in small intervals
Emmanuel Kowalski, Olivier Robert, Jie Wu
We discuss questions related to the non-existence of gaps in the series defining modular forms and other arithmetic functions of various types, and improve results of Serre, Balog…
Weil numbers generated by other Weil numbers and torsion fields of abelian varieties
Emmanuel Kowalski
Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ``most'' isomorphism classes of (principally polarized) simple abelian varieties over a finite fiel…
Exponential sums over definable subsets of finite fields
Emmanuel Kowalski
We prove some general estimates for exponential sums over subsets of finite fields which are definable in the language of rings. This generalizes both the classical exponential sum…
On the rank of quadratic twists of elliptic curvers over function fields
Emmanuel Kowalski
We prove quantitative upper bounds for the number of quadratic twists of a given elliptic curve $E/\Fp_q(C)$ over a function field over a finite field that have rank , and…
Explicit upper bound for the rank of J_0(q)
Emmanuel Kowalski, Philippe Michel
We provide, on the Birch and Swinnerton-Dyer conjecture, an explicit upper bound for the rank of the Mordell-Weil group of the Jacobian of the modular curve X_0(q) for q prime larg…