arXiv subjects

Saito Hayato

Publications and source records attributed to Saito Hayato.

2 recordsLinked to original sources

arXiv2011

An explicit representation of primitive forms

The sets of primitive foms may be decomposed into some Galois conjugacy classes. The purpose of this paper is to write down all of such classes with cardinal 1 or 2, explicitly in terms of some Eisenstein series, for level 1,2,3,4,6,8,9. For level 6, some calculations have not yet been completed.

math.NT↗

arXiv2011

An explicit structure of the graded ring of modular forms of small level

In this paper, we study the explicit structure of the graded ring of elliptic modular forms for the congruence subgroup $Γ_0(N)$ with N=1,2,3,4,5,6,7,8,9,10,12,16,18,25. More precisely, making use of some relations between Fourier expansions, we determine the ring by a quotient of the polynomial ring in several variables.

math.NT↗