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math.NT2019
Incongruences for modular forms and applications to partition functions
Sharon Garthwaite, Marie Jameson
The study of arithmetic properties of coefficients of modular forms has a rich history, including deep results regarding congruences in arithmetic progression…
math.NT2019
Zeta-polynomials, Hilbert polynomials, and the Eichler-Shimura identities
Marie Jameson
In 2017, Ono, Rolen, and Sprung [ORS17] answered problems of Manin [Man16] by defining zeta-polynomials for even weight newforms ; these polynomials can b…