Add to ORKG2000 Mathematics Subject Classification: Primary 11A15.We extend to the Jacobi symbol Zolotarev's idea that the Legendre symbol is the sign of a permutation, which leads to simple, strightforward proofs of many results, the proof of the Gauss Reciprocity for Jacobi symbols including
AbstractLet q and p be prime with q = a2 + b2 ≡ 1 (mod 4), a ≡ 1 (mod 4), and p = qf + 1. In the nin...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractThe classical definition of the Jacobi symbol (a:b) was badly conceived for negative values ...
It is well known that Gauss has found the first complete proof of quadratic reciprocity laws in [2] ...
AbstractIn a posthumous paper of Gauss the definition of the (nowadays called) Jacobi symbol for biq...
Using an action of the dihedral group on sets of square matrices, we identify various symmetry prope...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
AbstractLet p be an odd prime and n an integer relatively prime to p. In this work three criteria wh...
For an abelian number field K containing a primitive p-th root of unity (p an odd prime) and satisfy...
AbstractR. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters...
In this short note, we show that under a mild number-theoretic conjecture, recovering an integer fro...
Summary. In this paper, we defined the quadratic residue and proved its fundamental properties on th...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
Jacobijev simbol generalizacija je Legendreovog simbola \(\left( \frac{a}{p}\right)\) , gdje je...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractLet q and p be prime with q = a2 + b2 ≡ 1 (mod 4), a ≡ 1 (mod 4), and p = qf + 1. In the nin...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractThe classical definition of the Jacobi symbol (a:b) was badly conceived for negative values ...
It is well known that Gauss has found the first complete proof of quadratic reciprocity laws in [2] ...
AbstractIn a posthumous paper of Gauss the definition of the (nowadays called) Jacobi symbol for biq...
Using an action of the dihedral group on sets of square matrices, we identify various symmetry prope...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
AbstractLet p be an odd prime and n an integer relatively prime to p. In this work three criteria wh...
For an abelian number field K containing a primitive p-th root of unity (p an odd prime) and satisfy...
AbstractR. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters...
In this short note, we show that under a mild number-theoretic conjecture, recovering an integer fro...
Summary. In this paper, we defined the quadratic residue and proved its fundamental properties on th...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
Jacobijev simbol generalizacija je Legendreovog simbola \(\left( \frac{a}{p}\right)\) , gdje je...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractLet q and p be prime with q = a2 + b2 ≡ 1 (mod 4), a ≡ 1 (mod 4), and p = qf + 1. In the nin...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractThe classical definition of the Jacobi symbol (a:b) was badly conceived for negative values ...