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math.NT2026
Interlacing for zeros of the Serre derivative of Eisenstein series
Maggie Bohanek, Owen McGinty, Erick Ross +2
In 1970, Rankin and Swinnerton-Dyer showed that the non-elliptic zeros of Eisenstein series in the fundamental domain all lie on the lower arc $\{ e^{iθ}: \fracπ{2} < θ< \fra…
math.NT2026
Explicit generators of the space of modular forms
Tianyu Ni, Ashley Song, Yanhui Su +2
Let be the space of cusp forms of weight and level one, and let denote its dual space. In this paper, we find explicit spanning subsets of consisting o…
math.NT2026
Boundary CM points and class groups of small exponent
David Aiken, Erick Ross, Dmitriy Shvydkoy +1
Let denote the fundamental domain for on the upper half plane . William Duke showed that as fundamental discriminants $D \to -\in…