Hypergeometric Functions Over Finite Fields
Copyright policy )Hypergeometric Functions Over Finite Fields
In this paper the analogy between the character sum expansion of a complex-valued function over GF ( p ) {\text {GF}}(p) and the power series expansion of an analytic function is exploited in order to develop an analogue for hypergeometric series over finite fields. It is shown that such functions satisfy many summation and transformation formulas analogous to their classical counterparts.
- Southern Illinois University System United States
- Southern Illinois University Carbondale United States
Other character sums and Gauss sums, Jacobi sum, classical special functions, transformation formulas, character sum analogs over finite fields, Classical hypergeometric functions, \({}_2F_1\), power series expansions, binomial coefficient, summation theorems, Gauss and Kloosterman sums; generalizations, hypergeometric functions
Other character sums and Gauss sums, Jacobi sum, classical special functions, transformation formulas, character sum analogs over finite fields, Classical hypergeometric functions, \({}_2F_1\), power series expansions, binomial coefficient, summation theorems, Gauss and Kloosterman sums; generalizations, hypergeometric functions
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