The class number of $\mathbb{Q}(\sqrt{-p})$ and digits of $1/p$

DOI10.1090/S0002-9939-2010-10560-9zbMath1228.11012OpenAlexW1541343583MaRDI QIDQ2997184

M. Ram Murty, Ravindrananathan Thangadurai

Publication date: 6 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10560-9

zbMATH Keywords

class numberquadratic fieldradix representationdigitsdistribution mod one

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Radix representation; digital problems (11A63) Cyclotomic extensions (11R18) General theory of distribution modulo (1) (11K06)

Related Items (2)

On some symmetries of the base \(n\) expansion of \(1/m\): the class number connection ⋮ A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields

Cites Work

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• Effective equidistribution of eigenvalues of Hecke operators
• Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
• The digits of 1/p in connection with class number factors
• A "Popular" Class Number Formula

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