Hideki Murahara, Tomokazu Onozuka, “On the <nobr>$a$</nobr>-points of symmetric sum of multiple zeta function”, Mosc. Math. J., 2022, Volume 22, Number 4,Pages <nobr>741

On the $a$-points of symmetric sum of multiple zeta function

Hideki Murahara^a, Tomokazu Onozuka^b

^a Nakamura Gakuen University Graduate School, 5-7-1, Befu, Jonan-ku, Fukuoka, 814-0198, Japan
^b Multiple Zeta Research Center, Kyushu University 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan

Abstract: In this paper, we present some results on the $a$-points of the symmetric sum of the Euler–Zagier multiple zeta function. Our first three results are for the $a$-points free region of the function. The fourth result is the Riemann–von Mangoldt type formula. In the last two results, we study the real parts of $a$-points of the function.

Key words and phrases: multiple zeta function, the Riemann zeta function, the Riemann–von Mangoldt formula, $a$-point.

MSC: 11M32

Language: English