Formulas for the variance of digits of 1/p in base b are derived for the half-order case q=(p-1)/2, using Dedekind sums and class numbers when p≡3 mod 4 or products of Bernoulli numbers when p≡1 mod 4.
Shiomi, An analogue of Girstmair’s formula in function fields, Finite Fields Appl
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
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.
citing papers explorer
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On the variance of the digits of $1/p$
Formulas for the variance of digits of 1/p in base b are derived for the half-order case q=(p-1)/2, using Dedekind sums and class numbers when p≡3 mod 4 or products of Bernoulli numbers when p≡1 mod 4.
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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.