Parametric Euler sum identities

By D. Borwein, Jonathan Michael Borwein, David M. Bradley. 2005

65 citations recorded by the source corpus.

We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables in many cases account for reduction formulae for these sums.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/6cd3ec39add3381dac4715a3d4c6bb08da941382

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In Algebra and Number Theory

1. Jonathan Michael Borwein
2. David M. Bradley
3. Li Guo
4. J. Okuda
5. K. Ihara
6. Kurusch Ebrahimi-Fard
7. Michael E. Hoffman
8. Jianqiang Zhao

In Discrete Mathematics and Combinatorics

1. Jonathan Michael Borwein
2. David M. Bradley
3. Li Guo
4. J. Okuda
5. K. Ihara
6. Kurusch Ebrahimi-Fard
7. Michael E. Hoffman
8. Jianqiang Zhao

Citations in the corpus

• Thirty-two Goldbach Variations (2005, background): “2) can also be recovered by setting x = 0 in the following result: Theorem 7 (Theorem 1 of [11]).”