Analogi nepolnych summ Kloostermana i ikh prilozheniya (Analogies of Kloosterman sums and their applications)

Rok, strany: 1997, 89 - 120

For given positive integers $m$ and $n$, $(m, n) = 1$, let $n^*$ be a positive integer satisfying $n^*<m$, $n^* n\equiv 1 (\bmod m)$. The paper deals with distribution properties of a sequence of type $((an^*+bm) / m) (\bmod 1)$, $n=1,2,…[m^4/7]$, where $(a, m) = l$ and $b$ is an integer. The used method is based on an estimate for short trigonometric sums.

ISO 690:

Karatsuba, A. 1997. Analogi nepolnych summ Kloostermana i ikh prilozheniya (Analogies of Kloosterman sums and their applications). In Tatra Mountains Mathematical Publications, vol. 11, no.2, pp. 89-120. 1210-3195.

APA:

Karatsuba, A. (1997). Analogi nepolnych summ Kloostermana i ikh prilozheniya (Analogies of Kloosterman sums and their applications). Tatra Mountains Mathematical Publications, 11(2), 89-120. 1210-3195.