Zeta and \(L\)-functions and Bernoulli polynomials of root systems

DOI10.3792/PJAA.84.57zbMath1147.11053OpenAlexW2034113207MaRDI QIDQ952013

Kohji Matsumoto, Hirofumi Tsumura, Yasushi Komori

Publication date: 5 November 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1209649653

zbMATH Keywords

analytic continuationroot systemssimple Lie algebrasmultiple zeta-functionfunctional relationWitten zeta-function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Simple, semisimple, reductive (super)algebras (17B20) Polylogarithms and relations with (K)-theory (11G55) Multiple sequences and series (40B05)

Related Items (9)

Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems ⋮ An overview and supplements to the theory of functional relations for zeta-functions of root systems ⋮ A study on multiple zeta values from the viewpoint of zeta-functions of root systems ⋮ ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO ⋮ MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA 𝔤₂ ⋮ On Witten multiple zeta-functions associated with semisimple Lie algebras. II. ⋮ Witten multiple zeta values attached to \(\mathfrak {sl}(4)\) ⋮ Multiple zeta values and zeta-functions of root systems ⋮ ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV

Cites Work

• On Witten multiple zeta-functions associated with semisimple Lie algebras. I
• On Witten multiple zeta-functions associated with semisimple Lie algebras. II.
• Double Lerch value relations and functional relations for Witten zeta functions
• On quantum gauge theories in two dimensions
• The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I.
• Evaluation of Dedekind sums, Eisenstein cocycles, and special values of \(L\)-functions
• On some functional relations between Mordell-Tornheim double \(L\)-functions and Dirichlet \(L\)-functions
• Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
• On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zeta and \(L\)-functions and Bernoulli polynomials of root systems