Browsing by Author "Kuan, Yen-Liang"

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Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic
(2016)
Kuan, Yen-Liang
;
Lin, Yi-Hsuan
;
應用數學系
;
Department of Applied Mathematics
Multizeta values for F-q [theta] were initially studied by Thakur, who defined them as analogues of classical multiple zeta values of Euler. In the present article, we give an effective algorithm for determining whether a given multizeta value is zeta-like, namely, those whose ratio with the zeta value of the same weight is rational. Moreover, we state conjectures on certain families of zeta-like multizeta values. We provide the data in support of these guesses.