Gaussian hypergeometric series and combinatorial congruences
By Scott Ahlgren. 2001
84 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f96e9d98f0ec31e075ea37e9b63019ff72810ecc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Holly Swisher
- Dermot McCarthy
- Zhi-Wei Sun
- Ji-Cai Liu
- Fang-Ting Tu
- Jenny G. Fuselier
- Ling Long
- Robert Osburn
In Geometry and Topology
- Dermot McCarthy
- Ling Long
- Holly Swisher
- Fang-Ting Tu
- Robert Osburn
- Zhi-Hong Sun
- Ravi Ramakrishna
- Jenny G. Fuselier
In Mathematical Physics
- Holly Swisher
- Dermot McCarthy
- Fang-Ting Tu
- Jenny G. Fuselier
- Ling Long
- Robert Osburn
- Zhi-Hong Sun
- Ravi Ramakrishna
Citations in the corpus
- A p-adic analogue of a formula of Ramanujan (2007, background): “This congruence has been proven in [1], [15], [19], and [28].”
- On sums involving products of three binomial coefficients (2010, unknown): “Ahlgren [A], L.”
- Hypergeometric Functions over Finite Fields (2015, methodology): “For the family C [5;3,4,4] λ , we have dimV1 = 2 and dimV2 = 1.”
- Congruences concerning Legendre polynomials II (2010, methodology): “References [A] S. Ahlgren, Gaussian hypergeometric series and combinatorial congruences, in: Symbolic computation, number theory, special functions, physics and combina- torics (Gainesville, FI, 1999), pp. 1-12, Dev.”