A p-adic analogue of a formula of Ramanujan D McCarthy, R Osburn Archiv der Mathematik 91, 492-504, 2008 | 76 | 2008 |
On a supercongruence conjecture of Rodriguez-Villegas D McCarthy Proceedings of the American Mathematical Society 140 (7), 2241-2254, 2012 | 53 | 2012 |
Transformations of well-poised hypergeometric functions over finite fields D McCarthy Finite Fields and Their Applications 18 (6), 1133-1147, 2012 | 52 | 2012 |
The trace of Frobenius of elliptic curves and the p-adic gamma function D McCarthy Pacific Journal of Mathematics 261 (1), 219-236, 2013 | 40 | 2013 |
Extending Gaussian hypergeometric series to the p-adic setting D McCarthy International Journal of Number Theory 8 (07), 1581-1612, 2012 | 38 | 2012 |
Hypergeometric type identities in the 𝑝-adic setting and modular forms J Fuselier, D McCarthy Proceedings of the American Mathematical Society 144 (4), 1493-1508, 2016 | 32 | 2016 |
A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform D McCarthy, MA Papanikolas International Journal of Number Theory 11 (08), 2431-2450, 2015 | 23 | 2015 |
3F2 HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES D McCarthy International Journal of Number Theory 6 (03), 461-470, 2010 | 20 | 2010 |
Generalized Paley graphs and their complete subgraphs of orders three and four ML Dawsey, D McCarthy Research in the Mathematical Sciences 8, 1-23, 2021 | 13 | 2021 |
The number of-points on Dwork hypersurfaces and hypergeometric functions D McCarthy Research in the Mathematical Sciences 4, 1-15, 2017 | 13 | 2017 |
Summation identities and special values of hypergeometric series in the p-adic setting R Barman, N Saikia, D McCarthy Journal of Number Theory 153, 63-84, 2015 | 13 | 2015 |
Sequences, modular forms and cellular integrals D McCarthy, R Osburn, A Straub Mathematical Proceedings of the Cambridge Philosophical Society 168 (2), 379-404, 2020 | 8 | 2020 |
Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms D McCarthy Journal of Number Theory 170, 263-281, 2017 | 8 | 2017 |
Apéry-like numbers and families of newforms with complex multiplication A Gomez, D McCarthy, D Young Research in Number Theory 5, 1-12, 2019 | 6 | 2019 |
Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures ML Dawsey, D McCarthy From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number …, 2021 | 5 | 2021 |
Binomial coefficient–harmonic sum identities associated to supercongruences D McCarthy Walter de Gruyter GmbH & Co. KG 11 (6), 801-809, 2011 | 5 | 2011 |
Transitive subtournaments of -th power Paley digraphs and improved lower bounds for Ramsey numbers D McCarthy, M Springfield arXiv preprint arXiv:2311.02135, 2023 | | 2023 |
The number of -points on diagonal hypersurfaces with monomial deformation D McCarthy arXiv preprint arXiv:2308.01522, 2023 | | 2023 |
Eigenvalues and Fourier coefficients of degree two Siegel eigenforms constructed from Igusa theta constants D McCarthy Research in Number Theory 8 (4), 88, 2022 | | 2022 |
Modular forms, hypergeometric functions, and Ramsey numbers ML Dawsey, D McCarthy 2020 Fall Eastern Virtual Sectional Meeting, 2020 | | 2020 |