AbstractThe modified Jacobsthal sum Σx ∈ GF−(q2)χ(x2(q − 1) + α) is estimated yielding a classification of the α in GF(q2) for which ξ + α is always a non-square (or a non-zero square) for all 12(q + 1)th roots of unity ξ. The motivation is that this provides every member of a new family of projective planes constructed by M. J. Ganley
Problem sheet for minicourse ‘Probabilistic Galois Theory’ Q1 In example 2, we considered the interv...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractA classical lemma of Weil is used to characterise quadratic polynomials f with coefficients ...
AbstractThe modified Jacobsthal sum Σx ∈ GF−(q2)χ(x2(q − 1) + α) is estimated yielding a classificat...
For each odd prime power q, and each integer k, we determine the sum of the k-th powers of all eleme...
AbstractThe only q-subsets of GF(q2) with the property that the difference of any two elements is al...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractBy a reduction of analytic formulas it is shown that the μ invariant of the basic Z3-extensi...
AbstractLet q and p be prime with q = a2 + b2 ≡ 1 (mod 4), a ≡ 1 (mod 4), and p = qf + 1. In the nin...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
International audienceLet K be a totally real Galois number field. C. J. Hillar proved that if f in ...
AbstractLet F be a field of characteristic different from 2 and which is not formally real. Let q an...
AbstractThe totally positive algebraic integers of certain number fields have been shown to be the s...
AbstractThe general form of a real quadratic mapping of spheres can be determined by studying the di...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
Problem sheet for minicourse ‘Probabilistic Galois Theory’ Q1 In example 2, we considered the interv...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractA classical lemma of Weil is used to characterise quadratic polynomials f with coefficients ...
AbstractThe modified Jacobsthal sum Σx ∈ GF−(q2)χ(x2(q − 1) + α) is estimated yielding a classificat...
For each odd prime power q, and each integer k, we determine the sum of the k-th powers of all eleme...
AbstractThe only q-subsets of GF(q2) with the property that the difference of any two elements is al...
AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares o...
AbstractBy a reduction of analytic formulas it is shown that the μ invariant of the basic Z3-extensi...
AbstractLet q and p be prime with q = a2 + b2 ≡ 1 (mod 4), a ≡ 1 (mod 4), and p = qf + 1. In the nin...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
International audienceLet K be a totally real Galois number field. C. J. Hillar proved that if f in ...
AbstractLet F be a field of characteristic different from 2 and which is not formally real. Let q an...
AbstractThe totally positive algebraic integers of certain number fields have been shown to be the s...
AbstractThe general form of a real quadratic mapping of spheres can be determined by studying the di...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
Problem sheet for minicourse ‘Probabilistic Galois Theory’ Q1 In example 2, we considered the interv...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractA classical lemma of Weil is used to characterise quadratic polynomials f with coefficients ...
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