Asymptotic lower bound of class numbers along a Galois representation
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DOI: 10.1016/j.jnt.2019.09.024
Abstract: Let T be a free Z_p-module of finite rank equipped with a continuous Z_p-linear action of the absolute Galois group of a number field K satisfying certain conditions. In this article, by using a Selmer… read more here.
Keywords: class numbers; numbers along; bound; lower bound ... See more keywords
Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields
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DOI: 10.1017/s0013091518000159
Abstract: Abstract We construct a random model to study the distribution of class numbers in special families of real quadratic fields ${\open Q}(\sqrt d )$ arising from continued fractions. These families are obtained by considering continued… read more here.
Keywords: quadratic fields; class numbers; real quadratic; distribution class ... See more keywords
Some Criteria for Class Numbers to Be Non-One
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DOI: 10.1155/2020/5672983
Abstract: Let be a positive integer which is not a perfect square and be any nonzero fixed integer. Then, the equation is known as the general Pell equation. In this paper, we give some criteria for… read more here.
Keywords: numbers non; class numbers; non one; equation ... See more keywords