论文信息 - A character sum evaluation and Gaussian hypergeometric series - 字舞流文

A character sum evaluation and Gaussian hypergeometric series

Abstract Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series. Several related questions are discussed.

Dennis Stanton | D. Stanton | John R Greene | John Greene

[1] N. Koblitz. The number of points on certain families of hypersurfaces over finite fields , 1983 .

[2] Wen-Ch'ing Winnie Li,et al. Barnes' identities and representations of GL (2). I. Finite field case. , 1983 .

[3] Ira M. Gessel,et al. Strange Evaluations of Hypergeometric Series , 1982 .

[4] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .

[5] B. Berndt,et al. Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer , 1979 .

[6] Koichiro Yamamoto. On a conjecture of hasse concerning multiplicative relations of Gaussian sums , 1966 .

[7] Ravi P. Agarwal. Generalized hypergeometric series , 1963 .

[8] J. Sheehan,et al. On the number of complete subgraphs contained in certain graphs , 1981, J. Comb. Theory, Ser. B.

[9] Bruce C. Berndt,et al. Sums of gauss, jacobi, and jacobsthal☆ , 1979 .