\(\ell\)-adic digits and class number of imaginary quadratic fields

DOI10.1142/s0129167x24500411MaRDI QIDQ6610081

Sudhir Pujahari, Neelam Saikia

Publication date: 24 September 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized Bernoulli numbersclass numbersDirichlet \(L\)-functionsdigitsequidistributions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Radix representation; digital problems (11A63)

Cites Work

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• On some symmetries of the base \(n\) expansion of \(1/m\): the class number connection
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• Generalizations of Girstmair's formulas
• Über die Classenzahl quadratischer Zahlkörper.
• On the class-number in imaginary quadratic fields.
• Diophantine analysis and modular forms
• The class number of $\mathbb{Q}(\sqrt{-p})$ and digits of $1/p$
• Gauss’ class number problem for imaginary quadratic fields
• The digits of 1/p in connection with class number factors
• A "Popular" Class Number Formula
• A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields

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