Document Type

Article

Publication Date

2013

Publication Title

National University Research Council

Abstract

Representations of primes by simple quadratic forms, such as ±a 2±qb2 , is a subject that goes back to Fermat, Lagrange, Legendre, Euler, Gauss and many others. We are interested in a comprehensive list of such results, for q ≤ 20. Some of the results can be established with elementary methods and we exemplify that in some instances. We are introducing new relationships between various representations.

Included in

Mathematics Commons

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