On the mean-square of the error term related to Σ n ⩽ x λ2( n j )
Identifieur interne : 000276 ( Main/Exploration ); précédent : 000275; suivant : 000277On the mean-square of the error term related to Σ n ⩽ x λ2( n j )
Auteurs : Huixue Lao [République populaire de Chine] ; Ayyadurai Sankaranarayanan [Inde]Source :
- Science China Mathematics [ 1674-7283 ] ; 2011-05-01.
English descriptors
Abstract
Abstract: We prove a non-trivial upper bound for the quantity $\int_X^{2X} {\left| {\sum\limits_{n \leqslant x} {\lambda ^2 \left( {n^j } \right) - c_{\left( {j - 1} \right)} x} } \right|^2 dx}$ for j = 2, 3, 4.
Url:
DOI: 10.1007/s11425-011-4175-z
Affiliations:
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