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math.NT2026
On the distribution of the zeros of the Euler double zeta-function
Kohji Matsumoto, Tomokazu Onozuka, Isao Wakabayashi
We investigate the distribution of zeros of the function , namely the function defined by putting in the Euler double zeta-function . Our theore…
math.NT2026
Lower-order terms in mean-square formulas for the Euler--Zagier double zeta-function and regularized multiple zeta values
Tomokazu Onozuka
We study the mean square of the Euler--Zagier double zeta-function when the second variable moves vertically. Mean-square formulas in and beyond the region of absolute convergence…