Distribution of the difference of an integer and its \(m\)-th power mod \(n\) over incomplete intervals

DOI10.1016/J.JNT.2013.06.006zbMath1364.11010OpenAlexW2062487222MaRDI QIDQ740938

Zhefeng Xu

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.06.006

zbMATH Keywords

distributionasymptotic formulaincomplete intervalsinteger and its \(m\)-th power

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Congruences; primitive roots; residue systems (11A07) Special sequences (11K31)

Related Items (3)

On general partial Gaussian sums ⋮ On certain character sums ⋮ A note on high-dimensional D. H. Lehmer problem

Cites Work

• On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races
• On the distribution of inverses modulo \(n\)
• On the uniform distribution of inverses modulo \(n\)
• Upper bounds on a two-term exponential sum
• Distribution of values of rational maps on the \({\mathbb F}_p\)-points on an affine curve
• On the maximal difference between an element and its inverse modulo \(n\)
• On the difference between an integer and its inverse modulo \(n\)
• On the distribution of the F_p-points on an affine curve in r dimensions
• On the maximal difference between an element and its inverse in residue rings

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