On multiple zeta vaues of level two
| Autor: | Hirofumi Tsumura, Masanobu Kaneko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Mathematics::General Mathematics
Mathematics::Number Theory 010102 general mathematics Duality (optimization) Parity (physics) 0102 computer and information sciences Space (mathematics) 01 natural sciences Multiple zeta values Combinatorics 010201 computation theory & mathematics Product (mathematics) Inverse trigonometric functions 0101 mathematics polylogarithms Subspace topology Mathematics inverse trigonometric functions |
| Zdroj: | Tsukuba Journal of Mathematics. 44(2):213-234 |
| ISSN: | 0387-4982 |
| Popis: | We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the ‘shuffle counterpart’ of Hoffman's ‘odd variant’, exhibits nice properties such as duality, shuffle product, parity results, etc., like ordinary multiple zeta values. We also give some conjectures on relations between our values, Hoffman's values, and multiple zeta values. |
| Databáze: | OpenAIRE |
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