Algebraic relations between harmonic sums and associated quantities

By J. Blumlein. 2004

144 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c499881b038ee47e427cd97769c36fe392bdacbf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Claude Duhr
2. L. Dixon
3. Jianqiang Zhao
4. Jeffrey Pennington
5. V. Velizhanin
6. Anatoly V. Kotikov
7. M. Staudacher
8. A. Rej

In Nuclear and High Energy Physics

1. M. Staudacher
2. N. Beisert
3. A. Rej
4. V. Velizhanin
5. L. Lipatov
6. Anatoly V. Kotikov
7. L. Dixon
8. Claude Duhr

Citations in the corpus

• Dressing and wrapping (2007, methodology): “Using [26], we have also rewritten the result in an interesting non-canonical basis, see table A.”
• The Multiple Zeta Value data mine (2009, background): “It is easily shown that the algebraic relations [37] always allow to write any harmonic sum in terms of polynomials of S1(N) and sums, which converge in the limit N → ∞.”
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS (2008, background): “These sums have been called (non-alternating) multiple harmonic sums (MHS for short) and studied by theoretical physicists (see [5, 6] and their references).”
• Single-valued harmonic polylogarithms and the multi-Regge limit (2012, background): “One convenient such basis [55] of irreducible functions is the Lyndon basis, defined by {Hw(z) : w ∈ Lyndon(x0, x1)}.”