3 citations · 3 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Twisted periods of modular forms
Tianyu Ni, Hui Xue
Let denote the space of cusp forms of weight and level one. For and primitive Dirichlet character mod , we introduce twisted periods on…
Non-repetition of second coefficients of Hecke polynomials
Archer Clayton, Helen Dai, Tianyu Ni +3
Let denote the -th Hecke operator on the space of cuspidal modular forms of weight and level . In this paper, we study the non-repetition of…
Asymptotics and sign patterns of Hecke polynomial coefficients
Erick Ross, Hui Xue
We determine the asymptotic behavior of the coefficients of Hecke polynomials. In particular, this allows us to determine signs of these coefficients when the level or the weight i…
On the average size of the eigenvalues of the Hecke operators
William Cason, Akash Jim, Charlie Medlock +2
We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space in both the vertical and the horizontal perspective…