Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Integral expressions and recursive formulas of multiple zeta functions in positive characteristic
Daichi Matsuzuki (Nagoya University)
Abstract:
In the talk we pursue positive characteristic analogues of the results of Furusho, Komori, Matsumoto and Tsumura on p-adic multiple L-functions. We consider ∞-adic and v-adic multiple zeta functions concerned by Anglès, Ngo Dac and Tavares Ribeiro.
After recalling that Furusho, Komori, Matsumoto and Tsumura showed that p-adic multiple L-functions interpolate special values of complex multiple zeta functions, we show that v-adic multiple zeta functions interpolate special values of ∞-adic ones. We also obtain integral expressions of v-adic multiple zeta functions similar to those of p-adic multiple L-functions.
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