DOIAbstract
AbstractUsing Faltings' theorem on the Mordell conjecture, we prove that for any prime p⩾5 and integer n⩾2, the cyclotomic symbols {a,Φn(a)} do not form a subgroup of K2(Q). This partially confirms a conjecture of Browkin
AbstractUsing Faltings' theorem on the Mordell conjecture, we prove that for any prime p⩾5 and integer n⩾2, the cyclotomic symbols {a,Φn(a)} do not form a subgroup of K2(Q). This partially confirms a conjecture of Browkin
AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for wh...
AbstractLet ℓ⩾3 be a prime, and let p=2ℓ-1 be the corresponding Mersenne number. The Lucas–Lehmer te...
AbstractIn their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an ...
AbstractWe show that any prime p≡1(mod8) is a quotient of the finite products of the form a4+b4. App...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractConsider a family of elliptic curves Eq,m:y2=x(x−2m)(x+q−2m), where q is an odd prime satisf...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractLet K be a field and P∈K[X] is a polynomial of degree n, then the conjecture of Casas-Alvero...
AbstractIn this paper we generalize a recent result of Wittmann on densities of the 4-rank of class ...
Assume that the abc-conjecture is true. Let f be a polynomial over Q of degree n≥ 2 and let m≥ 2 be ...
summary:In this paper we generalize the method used to prove the Prime Number Theorem to deal with f...
In this note we determine the structure of the quotient of the Bruhat-Tits tree of the locally compa...
AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for wh...
AbstractLet ℓ⩾3 be a prime, and let p=2ℓ-1 be the corresponding Mersenne number. The Lucas–Lehmer te...
AbstractIn their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an ...
AbstractWe show that any prime p≡1(mod8) is a quotient of the finite products of the form a4+b4. App...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractConsider a family of elliptic curves Eq,m:y2=x(x−2m)(x+q−2m), where q is an odd prime satisf...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractLet K be a field and P∈K[X] is a polynomial of degree n, then the conjecture of Casas-Alvero...
AbstractIn this paper we generalize a recent result of Wittmann on densities of the 4-rank of class ...
Assume that the abc-conjecture is true. Let f be a polynomial over Q of degree n≥ 2 and let m≥ 2 be ...
summary:In this paper we generalize the method used to prove the Prime Number Theorem to deal with f...
In this note we determine the structure of the quotient of the Bruhat-Tits tree of the locally compa...
AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for wh...
AbstractLet ℓ⩾3 be a prime, and let p=2ℓ-1 be the corresponding Mersenne number. The Lucas–Lehmer te...
AbstractIn their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an ...
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