P. Dey

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20172026

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math.NT2019

Torsion groups of Mordell curves over cubic and sextic fields

Pallab Kanti Dey, Bidisha Roy

In this paper, we classify torsion groups of rational Mordell curves explicitly over cubic fields as well as over sextic fields. Also, we classify torsion groups of Mordell curves…

math.NT2019

Prime powers dividing products of consecutive integer values of $x^{2^{n}} + 1$

Stephan Baier, Pallab Kanti Dey

Let $n$ be a positive integer and $f (x) := x^{2^{n}} + 1$ . In this paper, we study orders of primes dividing products of the form $P_{m, n} := f (1) f (2) \dots f (m)$ . We prove that if $m >…

Torsion groups of Mordell curves over cubic and sextic fields

Prime powers dividing products of consecutive integer values of x2n+1

Prime powers dividing products of consecutive integer values of $x^{2^{n}} + 1$