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Dermot McCarthy
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Cited by
Year
A p-adic analogue of a formula of Ramanujan
D McCarthy, R Osburn
Archiv der Mathematik 91, 492-504, 2008
762008
On a supercongruence conjecture of Rodriguez-Villegas
D McCarthy
Proceedings of the American Mathematical Society 140 (7), 2241-2254, 2012
532012
Transformations of well-poised hypergeometric functions over finite fields
D McCarthy
Finite Fields and Their Applications 18 (6), 1133-1147, 2012
522012
The trace of Frobenius of elliptic curves and the p-adic gamma function
D McCarthy
Pacific Journal of Mathematics 261 (1), 219-236, 2013
402013
Extending Gaussian hypergeometric series to the p-adic setting
D McCarthy
International Journal of Number Theory 8 (07), 1581-1612, 2012
382012
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
322016
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
232015
3F2 HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES
D McCarthy
International Journal of Number Theory 6 (03), 461-470, 2010
202010
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
132021
The number of-points on Dwork hypersurfaces and hypergeometric functions
D McCarthy
Research in the Mathematical Sciences 4, 1-15, 2017
132017
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
132015
Sequences, modular forms and cellular integrals
D McCarthy, R Osburn, A Straub
Mathematical Proceedings of the Cambridge Philosophical Society 168 (2), 379-404, 2020
82020
Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms
D McCarthy
Journal of Number Theory 170, 263-281, 2017
82017
Apéry-like numbers and families of newforms with complex multiplication
A Gomez, D McCarthy, D Young
Research in Number Theory 5, 1-12, 2019
62019
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
52021
Binomial coefficient–harmonic sum identities associated to supercongruences
D McCarthy
Walter de Gruyter GmbH & Co. KG 11 (6), 801-809, 2011
52011
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
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