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math.NT2023
Formal sine functions in harmonic algebra
Hanamichi Kawamura
In this paper, we introduce formal sine functions whose coefficients are elements of a generalized harmonic algebra and investigate their properties corresponding to the classical…
math.NT2023
On a lifting of -adic symmetric multiple zeta values
Minoru Hirose, Hanamichi Kawamura
The -adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduc…
math.NT2023
Weighted sum formula for variants of half multiple zeta values
Hanamichi Kawamura, Takumi Maesaka, Masataka Ono
We prove some weighted sum formulas for half multiple zeta values, half finite multiple zeta values, and half symmetric multiple zeta values. The key point of our proof is Dougall'…