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This tag is used if a reference is needed in a paper or textbook on a specific result.

7 votes
1 answer
296 views

on a strange character sum

Recently while studying cubic residues modulo a prime $p$ with $p\equiv1\pmod 3$, I met the following character sum: $$\sum_{0\le x\le p-1}\left(\frac{x}{p}\right)\left(\frac{x+1}{p}\right)\left(\frac …
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2 votes
0 answers
156 views

On hypergeometric functions over finite fields

Let $\mathbb{F}_q$ be a finite field of $q$ elements. Let $A,B,C,\cdots$ denote the multiplicative characters over $\mathbb{F}_q$, and let $\overline{A}$ denote the inverse of $A$, i.e., $A(x)\overlin …
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