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  • Author or Editor: Andrej Dujella x
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Abstract  

In this paper, given a pair of odd coprime integers δ and ɛ, we study the positive n such that (n2 + 1)/2 has two divisors d1 and d2 summing up to δn + ɛ.

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Abstract  

In this paper, we present several methods for the construction of elliptic curves with large torsion group and positive rank over number fields of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

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Authors: Andrej Dujella, Clemens Fuchs and Robert Tichy

Abstract  

In this paper, we prove that there does not exist a set with more than 26 polynomials with integer coefficients, such that the product of any two of them plus a linear polynomial is a square of a polynomial with integer coefficients.

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