- Title
- Some notes on weighted sum formulae for double zeta values
- Creator
- Wan, James
- Relation
- Number Theory and Related Fields: In Memory of Alf van der Poorten p. 361-379
- Relation
- Springer Proceedings in Mathematics & Statistics 43
- Publisher Link
- http://dx.doi.org/10.1007/978-1-4614-6642-0_19
- Publisher
- Springer New York
- Resource Type
- book chapter
- Date
- 2013
- Description
- We present a unified approach which gives completely elementary proofs of three weighted sum formulae for double zeta values. This approach also leads to new evaluations of sums involving the harmonic numbers, the alternating double zeta values, and the Mordell-Tornheim double sum. We discuss a heuristic for finding or dismissing the existence of similar simple sums. We also produce some new sums from recursions involving the Riemann zeta and the Dirichlet beta functions.
- Subject
- double zeta values; Riemann zeta; Dirichlet beta; weighted sum formulae
- Identifier
- http://hdl.handle.net/1959.13/1068193
- Identifier
- uon:18575
- Identifier
- ISBN:9781461466413
- Language
- eng
- Hits: 459
- Visitors: 450
- Downloads: 0