3 papers
math.NT2026
Relations and Derivatives of Multiple Eisenstein Series
Henrik Bachmann, Hayato Kanno, Takumi Maesaka
In this paper, we study multiple Eisenstein series, which build a natural bridge between the theory of multiple zeta values and modular forms. We prove a large family of relations…
math.NT2026
Multiple -Functions and Their Applications
Hayato Kanno, Katsumi Kina
In this paper, we introduce and study multiple -functions, which generalize the classical Weierstrass -function to iterated sums over lattice points, and we establish exp…
math.NT2025
Shuffle regularization for multiple Eisenstein series of level
Hayato Kanno
Bachmann and Tasaka discovered a relationship between multiple Eisenstein series (MES) of level 1 and formal iterated integrals corresponding to multiple zeta value. They also cons…