AbstractIn two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (1993), 214-221], a reciprocity relation for the power residue symbol of odd prime exponent, between Jacobi sums, was conjectured then proved. This is here extended to the case of an arbitrary exponent, as a consequence of an expression for the power residue character of a Jacobi sum, modulo a rational prime power, in terms of Fermat quotients
Abstract. We show that for any mod pm characters, χ1,..., χk, the Jacobi sum, pmX x1=1 pmX xk=1 x1+·...
AbstractFor a fixed prime p, let ζn be a primitive pnth root of 1 in some algebraic closure of Qp. L...
The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to th...
AbstractIn two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (19...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
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 ...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
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...
Let Z be the set of integers, i = √−1 and Z[i] = {a + bi | a, b ∈ Z}. For any positive odd number m...
AbstractThe generalized Jacobi symbol (mn)k is defined for (m, n) = 1, n having prime divisors only ...
AbstractIn a posthumous paper of Gauss the definition of the (nowadays called) Jacobi symbol for biq...
Abstract The aim of this paper is to use an analytic method and the properties of the classical Gaus...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
Abstract. We show that for any mod pm characters, χ1,..., χk, the Jacobi sum, pmX x1=1 pmX xk=1 x1+·...
AbstractFor a fixed prime p, let ζn be a primitive pnth root of 1 in some algebraic closure of Qp. L...
The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to th...
AbstractIn two previous papers [Proc. Amer. Math. Soc.117 (1993), 877- 884], [J. Number Theory44 (19...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
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 ...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
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...
Let Z be the set of integers, i = √−1 and Z[i] = {a + bi | a, b ∈ Z}. For any positive odd number m...
AbstractThe generalized Jacobi symbol (mn)k is defined for (m, n) = 1, n having prime divisors only ...
AbstractIn a posthumous paper of Gauss the definition of the (nowadays called) Jacobi symbol for biq...
Abstract The aim of this paper is to use an analytic method and the properties of the classical Gaus...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
Abstract. We show that for any mod pm characters, χ1,..., χk, the Jacobi sum, pmX x1=1 pmX xk=1 x1+·...
AbstractFor a fixed prime p, let ζn be a primitive pnth root of 1 in some algebraic closure of Qp. L...
The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to th...
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