Analytic continuation for multiple zeta values using symbolic representations

DOI10.1142/S1793042120500293zbMath1437.11129arXiv1903.07215OpenAlexW2970948195MaRDI QIDQ5221472

Tanay Wakhare, Lin Jiu, Christophe Vignat

Publication date: 26 March 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07215

zbMATH Keywords

symbolic computationanalytic continuationmultiple zeta valuesharmonic sums

Mathematics Subject Classification ID

Umbral calculus (05A40) Analytic continuation (32D99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple zeta values at the non-positive integers
• The Zagier modification of Bernoulli numbers and a polynomial extension. I
• A symbolic approach to multiple zeta values at negative integers
• Harmonic sums and polylogarithms at non-positive multi-indices
• On the Lerch zeta function
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• A symbolic approach to some identities for Bernoulli–Barnes polynomials