On a t-stuffle product formula for interpolated multiple zeta values

Fuente: arXiv
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Main Authors: Sarkar, Pitu, Tamang, Nita
Format: Preprint
Published: 2024
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author Sarkar, Pitu
Tamang, Nita
author_facet Sarkar, Pitu
Tamang, Nita
contents In this paper, we obtain a restricted decomposition formula for interpolated multiple zeta values using t-stuffle product. We then derive a recursive formula of t-stuffle product, which also provides a route to the same formula. In both cases, combinatorial description of t-stuffle product is our basic tool. We also provide alternative proofs by mathematical induction for some of the results.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06083
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a t-stuffle product formula for interpolated multiple zeta values
Sarkar, Pitu
Tamang, Nita
Number Theory
11M32
In this paper, we obtain a restricted decomposition formula for interpolated multiple zeta values using t-stuffle product. We then derive a recursive formula of t-stuffle product, which also provides a route to the same formula. In both cases, combinatorial description of t-stuffle product is our basic tool. We also provide alternative proofs by mathematical induction for some of the results.
title On a t-stuffle product formula for interpolated multiple zeta values
topic Number Theory
11M32
url https://arxiv.org/abs/2411.06083