Jack B. Miller

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math.NT2023

Patterns of primes in joint Sato--Tate distributions

A. Anas Chentouf, Catherine Cossaboom, Samuel Goldberg +1

For $j = 1, 2$ , let $f_{j} (z) = \sum_{n = 1}^{\infty} a_{j} (n) e^{2 π in z}$ be a holomorphic, non-CM cuspidal newform of even weight $k_{j} \geq 2$ with trivial nebentypus. For each prime $p$ …

math.NT2023

Extending the support of $1$ - and $2$ -level densities for cusp form $L$ -functions under square-root cancellation hypotheses

Annika Mauro, Jack B. Miller, Steven J. Miller

The Katz-Sarnak philosophy predicts that the behavior of zeros near the central point in families of $L$ -functions agrees with that of eigenvalues near 1 of random matrix ensembles…

Patterns of primes in joint Sato--Tate distributions

Extending the support of 1- and 2-level densities for cusp form L-functions under square-root cancellation hypotheses

Extending the support of $1$ - and $2$ -level densities for cusp form $L$ -functions under square-root cancellation hypotheses