- Transitive subtournaments of k-th power Paley digraphs and improved lower bounds for Ramsey numbers
(with M. Springfield)
Submitted.
[ Journal | arXiv | Download Python Code ]
- The number of 𝔽q-points on diagonal hypersurfaces with monomial deformation
Submitted.
[ Journal | arXiv ]
- Orbits of Finite Field Hypergeometric Functions and Complete Subgraphs of Generalized Paley Graphs
(with M. Springfield)
Involve, accepted for publication.
[ Journal | arXiv | Download Python Code ]
- Eigenvalues and Fourier coefficients of degree two Siegel eigenforms constructed from Igusa theta constants
Research in Number Theory, 8:88 (2022).
[ Journal | Journal (free view) | arXiv ]
- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures
(with M. Locus Dawsey)
Operator Theory: Advances and Applications 285, (2021) 41-56.
[ Journal | arXiv ]
- Generalized Paley Graphs and their Complete Subgraphs of Orders Three and Four
(with M. Locus Dawsey)
Research in the Mathematical Sciences, 8:18 (2021) .
[ Journal | arXiv ]
- Sequences, modular forms and cellular integrals
(with R. Osburn and A. Straub)
Mathematical Proceedings of the Cambridge Philosophical Society, 168(2) (2020), 379-404.
[ Journal | arXiv ]
- On a question of Zhang
(with Y. Yang)
Communications in Algebra, (2019) 47:12, 5133-5134.
[ Journal ]
- Apéry-like numbers and families of newforms with complex
multiplication
(with A. Gomez and D. Young)
Research in Number Theory, 5:5 (2019).
[ Journal | arXiv ]
- The number of 𝔽p-points on Dwork hypersurfaces and hypergeometric functions
Research in the Mathematical Sciences, 4:4 (2017).
[ Journal | arXiv ]
- Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms
Journal of Number Theory, 170 (2017), 263-281.
[ Journal | arXiv ]
- Hypergeometric type identities in the p-adic setting and modular forms
(with J. Fuselier)
Proceedings of the American Mathematical
Society, 144 (2016), 1493-1508.
[ Journal | arXiv ]
- A finite field
hypergeometric function associated to eigenvalues of a Siegel eigenform
(with M. Papanikolas)
International Journal of Number Theory, 11 (2015), no. 8, 2431-2450.
[ Journal | arXiv ]
- Summation identities and special values of hypergeometric series in the p-adic setting
(with R. Barman and N. Saikia)
Journal of Number Theory, 153 (2015), 63-84.
[ Journal | arXiv ]
- The trace of
Frobenius of
elliptic curves and the p-adic gamma
function
Pacific Journal
of Mathematics,
261 (2013), no. 1, 219-236.
[ Journal
| arXiv ]
- Transformations
of
well-poised hypergeometric functions over finite fields
Finite Fields and
Their Applications, 18 (2012), no. 6,
1133-1147.
[ Journal
| arXiv ]
- On a
supercongruence
conjecture of Rodriguez-Villegas
Proceedings of the American Mathematical
Society, 140 (2012), 2241-2254.
[ Journal
| arXiv ]
- Extending
Gaussian
hypergeometric series to the p-adic setting
International Journal of Number Theory, 8 (2012), no. 7, 1581-1612.
[ Journal
| arXiv ]
- Binomial
coefficient-harmonic sum identities associated to supercongruences
Integers, 11
(2011),
A37, 8 pp.
[ Journal
| arXiv ]
- 3F2
Hypergeometric series and periods of elliptic curves
International Journal of Number Theory, 6 (2010), no. 3, 461-470.
[ Journal
| arXiv ]
- A p-adic
analogue of a formula of Ramanujan
(with R. Osburn)
Archiv der Mathematik, 91 (2008), no. 6, 492-504.
[ Journal
| arXiv ]
Book Chapter
- Sequences, modular forms and cellular integrals
(with R. Osburn and A. Straub)
2017 MATRIX Annals, edited by David R. Wood et al., MATRIX Book Series 2, Springer, 2019.
[ Series | Book ]