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math.NT2019
Rank and Bias in Families of Hyperelliptic Curves via Nagao's Conjecture
Trajan Hammonds, Seoyoung Kim, Benjamin Logsdon +2
Let be a hyperelliptic curve over of genus . Assume that the jacobian of over has no subvariety de…
math.NT2019
The Explicit Sato-Tate Conjecture For Primes In Arithmetic Progressions
Trajan Hammonds, Casimir Kothari, Noah Luntzlara +3
Let be Ramanujan's tau function, defined by the discriminant modular form \[ Δ(z) = q\prod_{j=1}^{\infty}(1-q^{j})^{24}\ =\ \sum_{n=1}^{\infty}τ(n) q^n \,,q=e^{2πi z} \] (th…