Ravi Ramakrishna

Algebra and Number Theory · 2002–2015

A researcher in the Science corpus: 3 papers; trusts 8 researchers and is trusted by 12 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 25 citations into it; #470 of 2,864 by trust here, #902 by citations
• Geometry and Topology — 14 citations into it; #2,486 of 7,422 by trust here, #4,440 by citations
• Discrete Mathematics and Combinatorics — 11 citations into it; #657 of 2,017 by trust here, #1,051 by citations
• Mathematical Physics — 7 citations into it; #3,382 of 8,562 by trust here, #5,408 by citations

Whom Ravi Ramakrishna trusts overall

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

1. Scott Ahlgren
2. Ling Long
3. Holly Swisher
4. Zhi-Wei Sun
5. Richard Taylor
6. Wadim Zudilin
7. Robert Osburn

Who trusts Ravi Ramakrishna overall

1. Frank Calegari
2. Holly Swisher
3. Chandrashekhar B. Khare
4. Ji-Cai Liu
5. Barry Mazur
6. Richard Taylor
7. Jenny G. Fuselier
8. Alyson Deines
9. Mahesh Kakde
10. Ling Long

Papers from Ravi Ramakrishna's perspective

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

1. A Gaussian hypergeometric series evaluation and Apéry number congruences
2. On the supercongruence conjectures of van Hamme
3. On the (K.2) supercongruence of Van Hamme
4. Some supercongruences occurring in truncated hypergeometric series
5. A classical introduction to modern number theory
6. Algebraic Transformations of Gauss Hypergeometric Functions
7. Approximations and complex multiplication according to Ramanujan
8. Gauss and Jacobi sums (Mathematical Surveys and Monographs)
9. A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function
10. Gaussian hypergeometric functions and traces of Hecke operators

Their papers

• Hypergeometric Functions over Finite Fields (2015) — 107 citations
• Some supercongruences occurring in truncated hypergeometric series (2014) — 158 citations
• Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur (2002) — 105 citations