Dermot McCarthy

Algebra and Number Theory · 2007–2012

A researcher in the Science corpus: 3 papers; trusts 9 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 19 citations into it; #730 of 2,864 by trust here, #798 by citations
• Geometry and Topology — 14 citations into it
• Mathematical Physics — 11 citations into it; #7,719 of 8,562 by trust here, #7,431 by citations

Whom Dermot McCarthy trusts overall

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

1. Eric T. Mortenson
2. Jenny G. Fuselier
3. Scott Ahlgren
4. C. Lennon
5. Ken Ichi Ono
6. T. Kilbourn
7. Robert Osburn
8. Sharon M. Frechette
9. M. Ram Murty

Who trusts Dermot McCarthy overall

1. Zhi-Wei Sun
2. Wadim Zudilin
3. Victor J. W. Guo
4. Ji-Cai Liu
5. Ling Long
6. Robert Osburn
7. Holly Swisher
8. Bing He

Papers from Dermot McCarthy's perspective

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

1. A Gaussian hypergeometric series evaluation and Apéry number congruences
2. A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function
3. Gaussian hypergeometric functions and traces of Hecke operators
4. The web of modularity : arithmetic of the coefficients of modular forms and q-series
5. A p-adic analogue of a formula of Ramanujan
6. Introduction to p-adic analytic number theory
7. Hypergeometric functions over F_p and relations to elliptic curves and modular forms
8. On a supercongruence conjecture of Rodriguez-Villegas
9. Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
10. On two geometric theta lifts

Their papers

• The trace of Frobenius of elliptic curves and the p-adic gamma function (2012) — 50 citations
• On a supercongruence conjecture of Rodriguez-Villegas (2012) — 53 citations
• A p-adic analogue of a formula of Ramanujan (2007) — 81 citations