Brian Grove

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20242026

most citedThe Explicit Hypergeometric-Modularity Method I

6 citations · 6 across the 5 of their papers we have counts for

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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, $p$ -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 $_{2} F_{1}$ and $_{3} F_{2}$ cases. We generalize the…

math.NT2024★ 6 cited

The Explicit Hypergeometric-Modularity Method I

Michael Allen, Brian Grove, Ling Long +1

The theories of hypergeometric functions and modular forms are highly intertwined. For example, particular values of truncated hypergeometric functions and hypergeometric character…