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Abstract In this paper, we construct several double sequences arising from double integrals which can be interpreted as alternating sums of multiple zeta values. The aim of the article is… Click to show full abstract
Abstract In this paper, we construct several double sequences arising from double integrals which can be interpreted as alternating sums of multiple zeta values. The aim of the article is based on generating functions and an infinite product representation for the gamma function to find relations among alternating sums of multiple zeta values. As a consequence, we give an approach to obtain an evaluation of the multiple zeta-star values ζ ⋆ ( m + 2 , { 2 } n ) .
Keywords:
zeta;
sums multiple;
zeta values;
multiple zeta;
alternating sums;
values height
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!