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Zeta stars

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journal contribution
posted on 2025-05-11, 22:15 authored by Yasuo Ohno, W. Zudilin
We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ*({2}n, 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2,2,...,2), while the second family is a weighted analogue of Euler's formula ∑n-1;l=2 ζ(l,n - l) = ζ(n) (n ≥ 3).

History

Journal title

Communications in Number Theory and Physics

Volume

2

Issue

2

Pagination

325-347

Publisher

International Press

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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