149 citations · 319 across the 56 of their papers we have counts for
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Moments of Gaussian Periods and Modified Fermat Curves
Stephan Ramon Garcia, Brian Lorenz, George Todd
We use supercharacter theory to study moments of Gaussian periods. For and fixed , we compute the fourth absolute moments for all but finitely many primes . For …
Frobenius-Rieffel norms on finite-dimensional C*-algebras
Konrad Aguilar, Stephan Ramon Garcia, Elena Kim
In 2014, Rieffel introduced norms on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the…
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
Stephan Ramon Garcia, Christopher O'Neill, Gabe Udell
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factoriza…
Norms on complex matrices induced by complete homogeneous symmetric polynomials
Konrad Aguilar, Ángel Chávez, Stephan Ramon Garcia +1
We introduce a remarkable new family of norms on the space of complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their c…
Explicit estimates for Artin -functions: Duke's short-sum theorem and Dedekind Zeta Residues
Stephan Ramon Garcia, Ethan Simpson Lee
Under GRH, we establish a version of Duke's short-sum theorem for entire Artin -functions. This yields corresponding bounds for residues of Dedekind zeta functions. All numerica…