Article contents
COUNTING POINTS ON DWORK HYPERSURFACES AND $p$-ADIC HYPERGEOMETRIC FUNCTIONS
Published online by Cambridge University Press: 17 February 2016
Abstract
We express the number of points on the Dwork hypersurface $X_{\unicode[STIX]{x1D706}}^{d}:x_{1}^{d}+x_{2}^{d}+\cdots +x_{d}^{d}=d\unicode[STIX]{x1D706}x_{1}x_{2}\cdots x_{d}$ over a finite field of order $q\not \equiv 1\,(\text{mod}\,d)$ in terms of McCarthy’s $p$-adic hypergeometric function for any odd prime $d$.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 208 - 216
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
References
- 3
- Cited by