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The ABC conjecture and exponents of class groups of quadratic fields. (English) Zbl 0893.11043
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).
The author uses the ABC conjecture to prove results concerning the number of imaginary quadratic fields with exponent divisible by a given odd integer. For the entire collection see [Zbl 0878.00049].

11R11Quadratic extensions
11R29Class numbers, class groups, discriminants
11D99Diophantine equations
11N36Applications of sieve methods