JP Journal of Algebra, Number Theory and Applications
Volume 20, Issue 2, Pages 121 - 134
(March 2011)
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ALGORITHM FOR FACTORING PRIMES IN QUADRATIC NUMBER FIELDS IN SPECIAL CASES
Ali H. Hakami
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Abstract: Let
?be a binary quadratic form with integer coefficients. Let
?be the discriminant of a binary quadratic form Q. In this paper, we connect the factoring of prime numbers in quadratic fields with reduction of binary quadratic forms and give an algorithm for determining whether
?has a solution in special cases. |
Keywords and phrases: number theory, quadratic fields. |
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