A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields
ACTA ARITHMETICA(2023)
Abstract
We give a closed formula for a certain character twisted average value of the digits of the base $g$ expansion of $a/m$ ($2\leq m\in \mathbb N$, $a \in \mathbb N$, $1\leq a \lt m$, $(a,m)=1$). The closed formula involves the first generalized Bernoulli nu
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Key words
digits,class numbers,imaginary quadratic fields,Dirichlet characters
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