Nathan C. Ryan

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math.NT2025

Multiplicity one for $L$ -functions and applications

David W. Farmer, Ameya Pitale, Nathan C. Ryan +1

We give conditions for when two Euler products are the same given that they satisfy a functional equation and their coefficients are not too large and do not differ from each other…

math.NT2024

Explicit families of congruences for the overpartition function

Nathan C. Ryan, NicolÃ¡s Sirolli, Jean Carlos Villegas-Morales +1

In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by Treneer. We give infinite…

Multiplicity one for L-functions and applications

Explicit families of congruences for the overpartition function

Multiplicity one for $L$ -functions and applications