On the prime factors of non-congruent numbers

• Autorzy: Lindsey Reinholz , Blair K. Spearman , Qiduan Yang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11G05: Elliptic curves over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 2
• Strony: 271-282

Daty

wydano

2015

Twórcy

autor

Lindsey Reinholz

• Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC, Canada V1V 1V7

autor

Blair K. Spearman

• Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC, Canada V1V 1V7

autor

Qiduan Yang

• Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC, Canada V1V 1V7

Identyfikatory

DOI

10.4064/cm138-2-11