3 papers
math.NT2023
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials
Tomoaki Nakaya
In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on by Kaneko and Koike as…
math.NT2023
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients
Tomoaki Nakaya
The main purpose of this paper is to determine all normalized extremal quasimodular forms of depth 1 whose Fourier coefficients are integers. By changing the local parameter at inf…
math.NT2018
The number of linear factors of supersingular polynomials and sporadic simple groups
Tomoaki Nakaya
The set of prime numbers such that the supersingular -invariants in characteristic are all contained in the prime field is finite. And it is well known that this set of…