scientific article; zbMATH DE number 1121904

zbMath0893.11043MaRDI QIDQ4379419

M. Ram Murty

Publication date: 25 February 1998

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zbMATH Keywords

imaginary quadratic fieldsPell's equationABC conjectureexponents of class groups

Mathematics Subject Classification ID

Quadratic extensions (11R11) Applications of sieve methods (11N36) Class numbers, class groups, discriminants (11R29) Diophantine equations (11D99)

Related Items (12)

NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS ⋮ On a conjecture of Iizuka ⋮ Non-Wieferich primes in number fields and $abc$-conjecture ⋮ Divisibility of the class numbers of imaginary quadratic fields ⋮ Divisibility criteria for class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ On -unramified extensions over imaginary quadratic fields ⋮ Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields ⋮ Exponent of class group of certain imaginary quadratic fields ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ Real quadratic fields with class number divisible by 5 or 7 ⋮ A note on the divisibility of class numbers of imaginary quadratic fields \(\mathbb Q(\sqrt{a^2 - k^n})\) ⋮ A note on the divisibility of class numbers of real quadratic fields.

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