Partial sums of the harmonic series, $p$-adic $L$-function and Bernoulli numbers

Rok, strany: 2000, 11 - 17

The divisibility properties of partial sums of the harmonic series (and allied sums ) are studied with the help of Bernoulli numbers and the $p$-adic $L$-functions. The paper contains some results generalizing the well-known Wolstenholme-Leudesdorf's Theorem and recent investigations of D.Boyd , L.C.Washington and the author.

ISO 690:

Slavutskii, I. 2000. Partial sums of the harmonic series, $p$-adic $L$-function and Bernoulli numbers. In Tatra Mountains Mathematical Publications, vol. 20, no.3, pp. 11-17. 1210-3195.

APA:

Slavutskii, I. (2000). Partial sums of the harmonic series, $p$-adic $L$-function and Bernoulli numbers. Tatra Mountains Mathematical Publications, 20(3), 11-17. 1210-3195.