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math.NT2020
A Note on Congruences for Weakly Holomorphic Modular Forms
Spencer Dembner, Vanshika Jain
Let be the ring of integers of a number field . Write , and suppose that $$f(z) = \sum_{n \gg - \infty}^{\infty} a_f(n) q^n \in M_{k}^{!}(\operatorname{SL}…
math.NT2020
Hyperelliptic Curves and Newform Coefficients
Spencer Dembner, Vanshika Jain
We study which integers are admissible as Fourier coefficients of even integer weight newforms. In the specific case of the tau-function, we show that for all odd primes $\ell < 10…