A p-adic analogue of a formula of Ramanujan D McCarthy, R Osburn Archiv der Mathematik 91, 492-504, 2008 | 77 | 2008 |
Transformations of well-poised hypergeometric functions over finite fields D McCarthy Finite Fields and Their Applications 18 (6), 1133-1147, 2012 | 66 | 2012 |
On a supercongruence conjecture of Rodriguez-Villegas D McCarthy Proceedings of the American Mathematical Society 140 (7), 2241-2254, 2012 | 58 | 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 | 50 | 2013 |
Extending Gaussian hypergeometric series to the p-adic setting D McCarthy International Journal of Number Theory 8 (07), 1581-1612, 2012 | 43 | 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 | 36 | 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 | 27 | 2015 |
3F2 HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES D McCARTHY International Journal of Number Theory 6 (03), 461-470, 2010 | 22 | 2010 |
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 | 18 | 2015 |
The number of-points on Dwork hypersurfaces and hypergeometric functions D McCarthy Research in the Mathematical Sciences 4, 1-15, 2017 | 16 | 2017 |
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 | 15 | 2021 |
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 | 9 | 2021 |
Sequences, modular forms and cellular integrals D McCarthy, R Osburn, A Straub Mathematical Proceedings of the Cambridge Philosophical Society 168 (2), 379-404, 2020 | 9 | 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 |
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 k-th Power Paley Digraphs and Improved Lower Bounds for Ramsey Numbers D McCarthy, M Springfield Graphs and Combinatorics 40 (4), 1-21, 2024 | 2 | 2024 |
Splitting hypergeometric functions over roots of unity D McCarthy, M Tripathi Research in the Mathematical Sciences 11 (3), 57, 2024 | | 2024 |
A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers D McCarthy, C Monico arXiv preprint arXiv:2408.04067, 2024 | | 2024 |
Orbits of finite-field hypergeometric functions and complete subgraphs of generalized Paley graphs D McCarthy, M Springfield Involve, a Journal of Mathematics 17 (2), 355-362, 2024 | | 2024 |