Orbits of finite-field hypergeometric functions and complete subgraphs of generalized Paley graphs
DOI10.2140/INVOLVE.2024.17.355zbMATH Open1547.33011MaRDI QIDQ6543072
Dermot McCarthy, Mason Springfield
Publication date: 24 May 2024
Published in: Involve (Search for Journal in Brave)
Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other character sums and Gauss sums (11T24) Generalized hypergeometric series, ({}_pF_q) (33C20) Generalized Ramsey theory (05C55) Ramsey theory (05D10) Software, source code, etc. for problems pertaining to special functions (33-04)
Cites Work
- The number of \(\mathbb F_p\)-points on Dwork hypersurfaces and hypergeometric functions
- On generalised Paley graphs and their automorphism groups
- Hypergeometric functions over finite fields and modular forms. A survey and new conjectures
- Hyperelliptic curves and values of Gaussian hypergeometric series
- Generalized Paley graphs and their complete subgraphs of orders three and four
- Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
- CLIQUE NUMBERS OF PALEY GRAPHS
- Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
- Hypergeometric Functions Over Finite Fields
- A Gaussian hypergeometric series evaluation and Apéry number congruences
- Hypergeometric functions for Dirichlet characters and Peisert-like graphs on \(\mathbb{Z}_n\)
- Number of complete subgraphs of peisert graphs and finite field hypergeometric functions
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