George E. Andrews

Algebra and Number Theory · 2000–2021

A researcher in the Science corpus: 24 papers; trusts 14 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 32 citations into it; #85 of 2,864 by trust here, #129 by citations
• Discrete Mathematics and Combinatorics — 18 citations into it; #90 of 2,017 by trust here, #204 by citations
• Applied Mathematics — 14 citations into it; #2,755 of 7,620 by trust here, #4,749 by citations
• Geometry and Topology — 6 citations into it; #2,300 of 7,422 by trust here, #4,440 by citations
• Mathematical Physics — 6 citations into it

Whom George E. Andrews trusts overall

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

1. Kathrin Bringmann
2. Ken Ichi Ono
3. Michael D. Hirschhorn
4. Bruce C. Berndt
5. Andrew V. Sills
6. S. Ole Warnaar
7. Frank G. Garvan
8. Michael J. Schlosser
9. Jeremy Lovejoy
10. Richard J. McIntosh

Who trusts George E. Andrews overall

1. Kathrin Bringmann
2. V. Spiridonov
3. Frank G. Garvan
4. Eric T. Mortenson
5. Neil O'Connell
6. Jeremy Lovejoy
7. Kurusch Ebrahimi-Fard
8. Li Guo
9. Ken Ichi Ono
10. Karl Mahlburg

Papers from George E. Andrews's perspective

Ordered by how strongly the researchers George E. Andrews trusts endorse each paper. Same corpus, a different order for every researcher.

1. Relations Between the Ranks and Cranks of Partitions
2. Ramanujan's Lost Notebook: Part I
3. Rank and crank moments for overpartitions
4. The f(q) mock theta function conjecture and partition ranks
5. Second Order Mock Theta Functions (Canadian mathematical bulletin)
6. The number of smallest parts in the partitions of n
7. Higher Order SPT-Functions
8. Baxter Algebras and Shuffle Products
9. Asymptotic Formulaæ in Combinatory Analysis
10. Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary

Their papers

• The WP‐Bailey Tree and its Implications (2001) — 52 citations
• ENUMERATIVE COMBINATORICS, VOLUME 2 (Cambridge Studies in Advanced Mathematics 62) By R ICHARD P. S TANLEY : 581 pp., £45.00 (US$69.95), ISBN 0 521 56069 1 (Cambridge University Press, 1999). (2000) — 183 citations
• MacMahon's partition analysis XIII: Schmidt type partitions and modular forms (2021) — 50 citations
• Partitions and the Minimal Excludant (2019) — 73 citations
• Integer Partitions with Even Parts Below Odd Parts and the Mock Theta Functions (2018) — 46 citations
• Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q) (2015) — 82 citations
• Concave and convex compositions (2013) — 48 citations
• q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions (2012) — 60 citations
• Ramanujan's lost notebook (2012) — 76 citations
• Arithmetic properties of partitions with even parts distinct (2010) — 128 citations
• MacMahon's sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms (2010) — 49 citations
• Parity in partition identities (2010) — 64 citations
• A combinatorial interpretation of the Legendre-Stirling numbers (2009) — 54 citations
• Partial Theta Functions (2009) — 70 citations
• A Survey of Multipartitions Congruences and Identities (2008) — 47 citations
• The number of smallest parts in the partitions of n (2008) — 197 citations
• MacMahon's partition analysis XI: Broken diamonds and modular forms (2007) — 89 citations
• Ramanujan's forty identities for the Rogers-Ramanujan functions (2007) — 54 citations
• Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks (2007) — 153 citations
• Ramanujan's Lost Notebook: Part I (2005) — 789 citations