M. Emory

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20182024

most citedTowards the Sato-Tate Groups of Trinomial Hyperelliptic Curves

7 citations · 10 across the 7 of their papers we have counts for

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Showing 2024 · math.NTShow all

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math.NT2024

Beyond Endoscopy via Poisson Summation for GL(2,K)

Melissa Emory, Malors Espinosa-Lara, Debanjana Kundu +1

In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathema…

math.NT2024

Nondegeneracy and Sato-Tate Distributions of Two Families of Jacobian Varieties

Melissa Emory, Heidi Goodson

We consider the curves $y^{2} = x^{2^{m}} - 1$ and $y^{2} = x^{2^{d} + 1} - x$ over the rationals. These curves are related via their associated Jacobian varieties in that the Jacobians of the la…