Geodesic
$t$-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately
Minoru Hirose1 ; Hideki Murahara2 ; Shingo Saito3
1Graduate School of Science and Engineering Kagoshima University Kagoshima, 890-0065, Japan
2The University of Kitakyushu Kitakyushu, Fukuoka, 802-8577, Japan
3Faculty of Arts and Science Kyushu University Fukuoka, 819-0395, Japan
Acta Arithmetica, Tome 216 (2024) no. 3, pp. 249-275
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper deals with the $t$-adic symmetric multiple zeta values modulo $t^m$ without modulo $\pi^2$ reduction for indices in which $1$ and $3$ appear alternately. We investigate those values that can be expressed as a polynomial of the Riemann zeta values, and give a conjecturally complete list of explicit formulas for such values.
DOI : 10.4064/aa231109-9-7
Keywords: paper deals t adic symmetric multiple zeta values modulo without modulo reduction indices which appear alternately investigate those values expressed polynomial riemann zeta values conjecturally complete list explicit formulas values

Minoru Hirose  1   ; Hideki Murahara  2   ; Shingo Saito  3

1 Graduate School of Science and Engineering Kagoshima University Kagoshima, 890-0065, Japan
2 The University of Kitakyushu Kitakyushu, Fukuoka, 802-8577, Japan
3 Faculty of Arts and Science Kyushu University Fukuoka, 819-0395, Japan 
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     title = {$t$-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately},
     journal = {Acta Arithmetica},
     pages = {249--275},
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Minoru Hirose; Hideki Murahara; Shingo Saito. $t$-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately. Acta Arithmetica, Tome 216 (2024) no. 3, pp. 249-275. doi: 10.4064/aa231109-9-7

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