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Currently displaying 1 – 3 of 3

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On the prime factors of non-congruent numbers

Lindsey Reinholz; Blair K. Spearman; Qiduan Yang — 2015

Colloquium Mathematicae

We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form 8k+1 and the rest of the prime factors have the form 8k+3. Products of elements in each family are shown to be non-congruent.

PSL $(2, 7)$ septimic fields with a power basis

Melisa J. Lavallee; Blair K. Spearman; Qiduan Yang — 2012

Journal de Théorie des Nombres de Bordeaux

We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group $P S L (2, 7)$ .

On the common index divisors of a dihedral field of prime degree.

Spearman, Blair K.; Williams, Kenneth S.; Yang, Qiduan — 2007

International Journal of Mathematics and Mathematical Sciences

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