Evaluations of hypergeometric functions over finite fields

スポンサーリンク

概要

• 論文の詳細を見る

• We prove two general formulas for a two-parameter family of hypergeometric $\3F2(z)$ functions over a finite field $\F_q$, where $q$ is a power of an odd prime. Each formula evaluates a $\3F2$ in terms of a $\2F1$ over $\F_{q^2}$. As applications, we evaluate infinite one-parameter families of $\3F2(\frac{1}{4})$ and $\3F2(-1)$, there by extending results of J. Greene--D. Stanton and K. Ono, who gave evaluations in special cases.

著者

• Ron Evans

  Department of mathematics University of California at San Diego La Jolla, CA 92093-0112, U.S.A

• John Greene

  Department of Mathematics and Statistics University of Minnesota-Duluth Duluth, MN 55812, U.S.A

• Ron Evans

  Department Of Mathematics University Of California At San Diego La Jolla Ca 92093-0112 U.s.a

• John Greene

  Department Of Mathematics And Statistics University Of Minnesota-duluth Duluth Mn 55812 U.s.a

関連論文

• Evaluations of hypergeometric functions over finite fields

スポンサーリンク