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STUDIA MATHEMATICA - Issue no. 4 / 2013 | |||||||
Article: |
PRIMES OF THE FORM +- a2 +- qb2. Authors: . |
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Abstract:
Representations of primes by simple quadratic forms, such as ±a2±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. Mathematics Subject Classification (2010): 11E25, 11A41, 11A67. Keywords: Quadratic reciprocity, Pigeonhole principle.
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