AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq of index 3,4,5,6 for certain classes of prime powers q. We also give an explicit formula for the number of cyclotomic mappings of index 2 that are strong complete mappings of Fp for prime p
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractFor an abelian number field k, let CS(k) be the group of circular units of k defined by Sinn...
AbstractAn orthomorphism κ of Zn is a permutation of Zn such that i↦κ(i)−i is also a permutation. We...
AbstractWe describe a reciprocity relation between the prime ideal factorization, and related proper...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
Let F = Ǫ(ζ + ζ –1) be the maximal real subfield of the cyclotomic field Ǫ(ζ) where ζ is a primitive...
AbstractLet p1,…,pt be distinct primes and gcd(pi−1,pj−1)=2 if i≠j. In this paper, we mainly give th...
AbstractLet Nq be the number of solutions of the equationa1x12+⋯+anxn2=bx1⋯xn over the finite field ...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe list all imaginary cyclotomic extensions Fq(x,ΛM(x))/Fq(x) with ideal class number equal ...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
Let $\Phi_n^{(k)}(x)$ be the $k$-th derivative of $n$-th cyclotomic polynomial. Extending a work of ...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractFor an abelian number field k, let CS(k) be the group of circular units of k defined by Sinn...
AbstractAn orthomorphism κ of Zn is a permutation of Zn such that i↦κ(i)−i is also a permutation. We...
AbstractWe describe a reciprocity relation between the prime ideal factorization, and related proper...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractLet a(n,k) be the kth coefficient of the nth cyclotomic polynomial. Ji, Li and Moree (2009) ...
Let F = Ǫ(ζ + ζ –1) be the maximal real subfield of the cyclotomic field Ǫ(ζ) where ζ is a primitive...
AbstractLet p1,…,pt be distinct primes and gcd(pi−1,pj−1)=2 if i≠j. In this paper, we mainly give th...
AbstractLet Nq be the number of solutions of the equationa1x12+⋯+anxn2=bx1⋯xn over the finite field ...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe list all imaginary cyclotomic extensions Fq(x,ΛM(x))/Fq(x) with ideal class number equal ...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
Let $\Phi_n^{(k)}(x)$ be the $k$-th derivative of $n$-th cyclotomic polynomial. Extending a work of ...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractFor an abelian number field k, let CS(k) be the group of circular units of k defined by Sinn...
AbstractAn orthomorphism κ of Zn is a permutation of Zn such that i↦κ(i)−i is also a permutation. We...
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