Abstract
Let l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ′) are multiplicative characters of order l on the finite field Fp (resp. Fq), then the corresponding Jacobi sums J(χ, χ′) and J(ψ, ψ′) satisfy the reciprocity relation [formula] where (-) denotes the lth power residue symbol over the cyclotomic field of lth roots of unity.
Original language | English (US) |
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Pages (from-to) | 214-221 |
Number of pages | 8 |
Journal | Journal of Number Theory |
Volume | 44 |
Issue number | 2 |
DOIs | |
State | Published - 1993 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory