AbstractLet 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
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet q=e∝+1 be an odd prime power and Ci, 1⩽i⩽e-1, be cyclotomic classes of the eth power res...
AbstractDedekind symbols are generalizations of the classical Dedekind sums (symbols), and the symbo...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
AbstractIn two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (19...
Let p be an odd prime and Fq be the field of q = p2 elements. We consider the Jacobi sum over Fq: J(...
AbstractWe give an explicit expression for the inversion factor (α/β)l(β/α)−1lof thelth power residu...
2 b2ABSTRACT. Let p and q be odd primes with q---+3 (rood 8), p i (mod 8) a + 2 d2c + and with the s...
Let Z be the set of integers, i = √−1 and Z[i] = {a + bi | a, b ∈ Z}. For any positive odd number m...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
1. Introduction. Let p be an odd prime and q = pf, where f is a positive integer. Let GF(q) be the f...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
Taking an odd prime number l and a natural number n, we study a reciprocity law for the l^nth power ...
Let ${\mathbb Q}(\zeta)$ be the cyclotomic field obtained from ${\mathbb Q}$ by adjoining a primitiv...
Let IF(,q) denote the finite field with q elements where q = p('r) is a power of an odd prime p, IF(...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet q=e∝+1 be an odd prime power and Ci, 1⩽i⩽e-1, be cyclotomic classes of the eth power res...
AbstractDedekind symbols are generalizations of the classical Dedekind sums (symbols), and the symbo...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
AbstractIn two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (19...
Let p be an odd prime and Fq be the field of q = p2 elements. We consider the Jacobi sum over Fq: J(...
AbstractWe give an explicit expression for the inversion factor (α/β)l(β/α)−1lof thelth power residu...
2 b2ABSTRACT. Let p and q be odd primes with q---+3 (rood 8), p i (mod 8) a + 2 d2c + and with the s...
Let Z be the set of integers, i = √−1 and Z[i] = {a + bi | a, b ∈ Z}. For any positive odd number m...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
1. Introduction. Let p be an odd prime and q = pf, where f is a positive integer. Let GF(q) be the f...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
Taking an odd prime number l and a natural number n, we study a reciprocity law for the l^nth power ...
Let ${\mathbb Q}(\zeta)$ be the cyclotomic field obtained from ${\mathbb Q}$ by adjoining a primitiv...
Let IF(,q) denote the finite field with q elements where q = p('r) is a power of an odd prime p, IF(...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet q=e∝+1 be an odd prime power and Ci, 1⩽i⩽e-1, be cyclotomic classes of the eth power res...
AbstractDedekind symbols are generalizations of the classical Dedekind sums (symbols), and the symbo...
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