Evaluation of double \(L\)-values.

DOI10.1016/j.jnt.2003.11.007zbMath1041.11061OpenAlexW2043239011MaRDI QIDQ1429812

David Terhune

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.11.007

zbMATH Keywords

multiple polylogarithmsmultiple L-values

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Other functions defined by series and integrals (33E20)

Related Items

On evaluation formulas for double L-values ⋮ FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS ⋮ Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple \(L\)-values ⋮ Functional relations and special values of Mordell-Tornheim triple zeta and 𝐿-functions ⋮ A simple proof of the functional relation for the Lerch type Tornheim double zeta function ⋮ On the parity conjecture for multiple \(L\)-values of conductor four ⋮ The evaluation of character Euler double sums ⋮ On some functional relations between Mordell-Tornheim double \(L\)-functions and Dirichlet \(L\)-functions ⋮ Double Lerch value relations and functional relations for Witten zeta functions ⋮ Multiple Dedekind zeta functions and evaluations of extended multiple zeta values ⋮ A two-variable Dirichlet series and its applications

Cites Work

• Triple sums and the Riemann zeta function
• Evaluation of triple Euler sums
• Fast evaluation of multiple zeta sums
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