AbstractLet F be a field of characteristic different from 2 and which is not formally real. Let q and s denote the number of square classes of F and the stufe of F respectively. In this paper, we give a new lower bound of q in terms of s, which greatly improves a result of I. Kaplansky and A. Pfister
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
We effectively solve the class number one problem for a certain family Q(D)${\bf Q}(\sqrt D)$ (D is ...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
The level question is, whether there exists a field F with finite square class number q(F): = |F × /...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractThe modified Jacobsthal sum Σx ∈ GF−(q2)χ(x2(q − 1) + α) is estimated yielding a classificat...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
AbstractThe only q-subsets of GF(q2) with the property that the difference of any two elements is al...
AbstractA lower bound is computed for the number of elements of a finite field F represented by a1x1...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractIf a Singer difference set over a field of square order q2n is partitioned into q+1 subsets ...
AbstractWe use the Siegel-Tatuzawa theorem to determine real quadratic fields Q(√m2+4) and Q(√m2+1) ...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
AbstractLet F = GF(q) be the finite field of order q. Let a1, a2, …, as be in Fβ{0}, with s ≥ 2, and...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
We effectively solve the class number one problem for a certain family Q(D)${\bf Q}(\sqrt D)$ (D is ...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
The level question is, whether there exists a field F with finite square class number q(F): = |F × /...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractThe modified Jacobsthal sum Σx ∈ GF−(q2)χ(x2(q − 1) + α) is estimated yielding a classificat...
AbstractIn this note I prove that the class number of Q(√Δ(x)) is infinitely often divisible by n, w...
AbstractThe only q-subsets of GF(q2) with the property that the difference of any two elements is al...
AbstractA lower bound is computed for the number of elements of a finite field F represented by a1x1...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractIf a Singer difference set over a field of square order q2n is partitioned into q+1 subsets ...
AbstractWe use the Siegel-Tatuzawa theorem to determine real quadratic fields Q(√m2+4) and Q(√m2+1) ...
In this note I prove that the class number of Q([radical sign][Delta](x)) is infinitely often divisi...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
AbstractLet F = GF(q) be the finite field of order q. Let a1, a2, …, as be in Fβ{0}, with s ≥ 2, and...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
We effectively solve the class number one problem for a certain family Q(D)${\bf Q}(\sqrt D)$ (D is ...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
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