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	Volume 28, Issue 2 Pg 107 - 214 (March 2013)
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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 28, Issue 2, Pages 181 - 214 (March 2013)

EXPONENT TWO IN CLASS GROUPS OF REAL QUADRATIC FIELDS WITH DISCRIMINANT AND PRIME-PRODUCTION OF EULER-RABINOWITSCH POLYNOMIALS

Richard A. Mollin

Abstract:

We provide necessary and sufficient conditions for the class groups of real quadratic fields with to be generated by ambiguous ideals in terms of the prime-production of the related Euler-Rabinowitsch polynomial. This is tantamount to the group having exponent 1 or 2 given in terms of the behaviour of quadratic polynomials.

Keywords and phrases:

class number, ambiguous ideal, quadratic field, exponent, continued fraction.

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P-ISSN: 0972-5555

E-ISSN: 3049-2084

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