3 papers
math.NT2026
Symmetric multiple Eisenstein series
Takashi Hara, Kenji Sakugawa, Koji Tasaka
In this paper, we introduce the symmetric multiple Eisenstein series, a variant of the multiple Eisenstein series. As a fundamental result, we show that they satisfy the linear shu…
math.CO2025
Spherical designs for finite quaternionic unit groups and their applications to modular forms
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
For a finite subset of the -dimensional unit sphere, the harmonic strength of is the set of such that for all harmonic…
math.NT2024
The ring of finite algebraic numbers and its application to the law of decomposition of primes
Julian Rosen, Yoshihiro Takeyama, Koji Tasaka +1
In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give ap…