Karl Winsor

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20142026

most citedLower-Order Biases Second Moments of Dirichlet Coefficients in Families of

L

-Functions

6 citations · 15 across the 10 of their papers we have counts for

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math.NT2018★ 6 cited

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$ -Functions

Megumi Asada, Ryan Chen, Eva Fourakis +9

Let $E : y^{2} = x^{3} + A (T) x + B (T)$ be a nontrivial one-parameter family of elliptic curves over $Q (T)$ , with $A (T), B (T) \in Z (T)$ , and consider the $k$ \te…

math.NT2016

Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters

Blake Mackall, Steven J. Miller, Christina Rapti +5

While Random Matrix Theory has successfully modeled many quantities of families of L-functions, it frequently cannot see the family's arithmetic. In some situations this requires a…

math.NT2014★ 3 cited

Gaps between zeros of GL(2) $L$ -functions

Owen Barrett, Brian McDonald, Steven J. Miller +3

Let $L (s, f)$ be an $L$ -function associated to a primitive (holomorphic or Maass) cusp form $f$ on GL(2) over $Q$ . Combining mean-value estimates of Montgomery and Vaughan…

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of L-Functions

Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters

Gaps between zeros of GL(2) L-functions

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$ -Functions

Gaps between zeros of GL(2) $L$ -functions