S. Ole Warnaar

Algebra and Number Theory · 2000–2009

A researcher in the Science corpus: 6 papers; trusts 8 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 19 citations into it; #224 of 2,864 by trust here, #435 by citations
• Discrete Mathematics and Combinatorics — 14 citations into it; #410 of 2,017 by trust here, #680 by citations
• Applied Mathematics — 10 citations into it; #1,095 of 7,620 by trust here, #2,377 by citations
• Mathematical Physics — 10 citations into it
• Geometry and Topology — 8 citations into it; #2,158 of 7,422 by trust here, #4,709 by citations
• Statistical and Nonlinear Physics — 6 citations into it
• Computational Theory and Mathematics — 5 citations into it; #2,488 of 12,182 by trust here, #5,724 by citations

Whom S. Ole Warnaar trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. V. Spiridonov
2. George E. Andrews
3. Hjalmar Rosengren
4. J. F. van Diejen
5. Jeremy Lovejoy
6. Jason E. Fulman
7. Giovanni Felder
8. Frits Beukers
9. Alexander Berkovich

Who trusts S. Ole Warnaar overall

1. V. Spiridonov
2. Eric M. Rains
3. Hjalmar Rosengren
4. Jeremy Lovejoy
5. J. F. van Diejen
6. George E. Andrews
7. Abhijit Gadde
8. Alexander Berkovich
9. Vladimir Petrov Kostov
10. Christian Krattenthaler

Papers from S. Ole Warnaar's perspective

Ordered by how strongly the researchers S. Ole Warnaar trusts endorse each paper. Same corpus, a different order for every researcher.

1. Bailey’s Transform, Lemma, Chains and Tree
2. Elliptic Selberg integrals
3. Elliptic hypergeometric series on root systems
4. A Bailey lattice
5. The WP‐Bailey Tree and its Implications
6. Theta hypergeometric integrals
7. On the elliptic beta function
8. Short proofs of the elliptic beta integrals
9. An elliptic incarnation of the Bailey chain
10. A Bailey Tree for Integrals

Their papers

• Summation and transformation formulas for elliptic hypergeometric series (2000) — 160 citations
• 50 Years of Bailey’s Lemma (2009) — 122 citations
• Inversions of integral operators and elliptic beta integrals on root systems (2004) — 100 citations
• Positivity preserving transformations for $q$-binomial coefficients (2003) — 50 citations
• Extensions of the well-poised and elliptic well-poised Bailey lemma (2003) — 56 citations
• Partial Theta Functions. I. Beyond the Lost Notebook (2001) — 123 citations