This paper pursues 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. Our main results in this paper consist of:(1) integral expressions of special values of ∞-adic multiple zeta functions, (2) integral expression of v-adic multiple zeta functions themselves similar to those of p-adic multiple L-functions, (3) Kummer-type congruence for the special values of v-adic multiple zeta functions at integers (4) relationships between special values of ∞-adic and those of v-adic multipe zeta functions at negative integers and (5) orthognal properties of multiple zeta functions and multiple zeta star functions.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.