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Zbl 0893.11043
Murty, M.Ram
The ABC conjecture and exponents of class groups of quadratic fields. (English)
[A] Murty, V. Kumar (ed.) et al., Number theory. Proceedings of the international conference on discrete mathematics and number theory, Tiruchirapalli, India, January 3--6, 1996 on the occasion of the 10th anniversary of the Ramanujan Mathematical Society. Providence, RI: American Mathematical Society. Contemp. Math. 210, 85-95 (1998). ISBN 0-8218-0606-8/pbk

The author uses the ABC conjecture to prove results concerning the number of imaginary quadratic fields with exponent divisible by a given odd integer.
[R.Mollin (Calgary)]

MSC 2000:: *11R11 Quadratic extensions
11R29 Class numbers, class groups, discriminants
11D99 Diophantine equations
11N36 Appl. of sieve methods

Keywords: Pell's equation; exponents of class groups; ABC conjecture; imaginary quadratic fields

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