2 citations · 3 across the 3 of their papers we have counts for
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On a generalization of Jacobi sums
Antonio Rojas-León
We prove an estimate for multi-variable multiplicative character sums over affine subspaces of , which generalize the well known estimates for both classical Jacobi…
On some conjectures on Generalized quadratic Gauss sums and related problems
Nilanjan Bag, Antonio Rojas-León, Zhang Wenpeng
The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic method and algebraic geometri…
An explicit evaluation of $\nth{10}$-power moment of quadratic Gauss sums and some applications
Nilanjan Bag, Antonio Rojas-León, Zhang Wenpeng
In this paper we have estimated one multi-variable character sum \begin{align*} \sum_{a=2}^{p-2}\sum_{b=1}^{p-1}\sum_{c=2}^{p-2}\sum_{d=1}^{p-1}\left(\frac{a^2-b^2}{p}\right)\left(…
A rigid local system with monodromy group the big Conway group 2.Co_1 and two others with monodromy group the Suzuki group 6.Suz
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
In the first three sections, we develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . In the fourth and fifth…
Rigid local systems with monodromy group the Conway group Co_2
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
We first develop some basic facts about hypergeometric sheaves on the multiplicative group in characteristic . Certain of their Kummer pullbacks extend to irr…
Rigid local systems with monodromy group the Conway group Co_3
Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep
We first develop some basic facts about certain sorts of rigid local systems on the affine line in characteristic . We then apply them to exhibit a number of rigid local syste…