MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA 𝔤2

DOI10.1142/S021949881000394XzbMath1197.11108arXiv0904.0888OpenAlexW2962931843WikidataQ115245701 ScholiaQ115245701MaRDI QIDQ3562523

Jianqiang Zhao

Publication date: 21 May 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0888

zbMATH Keywords

polylogarithmsexceptional Lie algebramultiple zeta function

Mathematics Subject Classification ID

Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Root systems (17B22)

Related Items (6)

ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO ⋮ Evaluation of Tornheim's type of double series ⋮ On Witten multiple zeta-functions associated with semisimple Lie algebras. II. ⋮ Witten multiple zeta values attached to \(\mathfrak {sl}(4)\) ⋮ ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV ⋮ Harmonic sums and polylogarithms generated by cyclotomic polynomials

Cites Work

• On Witten multiple zeta-functions associated with semisimple Lie algebras. I
• Zeta and \(L\)-functions and Bernoulli polynomials of root systems
• Multiple polylogarithm values at roots of unity
• On quantum gauge theories in two dimensions
• Analytic continuation of multiple polylogarithms

This page was built for publication: MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA 𝔤₂