Frequencies of digits 0-9 in the decimal period of 1/p for primes p ≡ 3 mod 4 with 10 of order (p-1)/2 are expressed in terms of class numbers of two imaginary quadratic fields, with analogues for primitive roots and octal digits.
Shiomi, An analogue of Girstmair’s formula in function fields, Finite Fields Appl
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On the decimal and octal digits of $1/p$
Frequencies of digits 0-9 in the decimal period of 1/p for primes p ≡ 3 mod 4 with 10 of order (p-1)/2 are expressed in terms of class numbers of two imaginary quadratic fields, with analogues for primitive roots and octal digits.