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10 papers · 1 filter
Computing supersingular endomorphism rings using inseparable endomorphisms
Jenny Fuselier, Annamaria Iezzi, Mark Kozek +2
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve defined over , which, conditional on GRH, runs in expected $O(…
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules
Changningphaabi Namoijam
We determine all algebraic relations among all hyperderivatives of the periods, quasi-periods, logarithms, and quasi-logarithms of Drinfeld modules defined over a separable closure…
A Refined Conjecture for the Variance of Gaussian Primes Across Sectors
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +6
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifur…
Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of -Functions
Megumi Asada, Ryan Chen, Eva Fourakis +9
Let be a nontrivial one-parameter family of elliptic curves over , with , and consider the \te…
Sign Changes of Coefficients and Sums of Coefficients of L-Functions
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We extend the axiomatization for detecting and quantifying sign changes of Meher and Murty to sequences of complex numbers. We further generalize this result when the sequence is c…
Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
Let be a weight holomorphic cusp form of level one, and let denote the sum of the first Fourier coefficients of . In analogy with Dirichlet's divisor proble…