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math.NT2025
Hypergeometric Distributions and Joint Families of Elliptic Curves
Brian Grove, Hasan Saad
Recently, the first author as well as the second author with Ono, Pujahari, and Saikia determined the limiting distribution of values of certain finite field and ${_3F_2}…
math.NT2024
The Explicit Hypergeometric-Modularity Method II
Michael Allen, Brian Grove, Ling Long +1
In the first paper of this sequence, we provided an explicit hypergeometric modularity method by combining different techniques from the classical, -adic, and finite field setti…
math.NT2024
Hypergeometric Moments and Hecke Trace Formulas
Brian Grove
Moments for hypergeometric functions over finite fields were studied in the work of Ono, Pujahari, Saad, and Saikia for several and cases. We generalize the…