1 citations · 1 across the 7 of their papers we have counts for
7 papers
Rational spanning sets of level-one cusp forms from Eisenstein series at prime levels
Tianyu Ni
Let be the space of cusp forms of weight for the full modular group . In this paper, we will exhibit an explicit rational spanning subset of …
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…
Representation of Ramanujan's tau function by twisted divisor functions
Tianyu Ni
We present an infinite family of identities that represent Ramanujan's tau function in terms of convolution sums of twisted divisor functions. Our method involves explicitly constr…
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…
AGM aquariums and elliptic curves over arbitrary finite fields
June Kayath, Connor Lane, Ben Neifeld +2
In this paper, we define a version of the arithmetic-geometric mean (AGM) function for arbitrary finite fields , and study the resulting AGM graph with points $(a,b)…
Subspaces spanned by eigenforms with nonvanishing twisted central -values
June Kayath, Connor Lane, Ben Neifeld +2
In this paper, we construct explicit spanning sets for two spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonvanishing quadratic twisted central …