On the maximal difference between an element and its inverse modulo \(n\)

DOI10.1023/B:MAHU.0000010815.14847.96zbMath1047.11003OpenAlexW1983455472MaRDI QIDQ1878802

Igor E. Shparlinski, Mizan R. Khan

Publication date: 8 September 2004

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:mahu.0000010815.14847.96

zbMATH Keywords

exponential sumsresidues

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Congruences; primitive roots; residue systems (11A07)

Related Items (12)

On the maximal difference between an element and its inverse in residue rings ⋮ On the difference between an integer and its \(m\)-th power mod \(n\) ⋮ Modular hyperbolas ⋮ Generalization of the Lehmer problem over incomplete intervals ⋮ On the action of permutations on distances between values of rational functions mod \(p\) ⋮ On the number of distances between the coordinates of points on modular hyperbolas ⋮ Geometric properties of points on modular hyperbolas ⋮ On a uniformly distributed phenomenon in matrix groups ⋮ Distribution of the difference of an integer and its \(m\)-th power mod \(n\) over incomplete intervals ⋮ Unnamed Item ⋮ On a generalisation of a Lehmer problem ⋮ A note on high-dimensional D. H. Lehmer problem

Cites Work

• On the distribution of inverses modulo \(n\)
• On the uniform distribution of inverses modulo \(n\)
• Distribution of values of rational maps on the \({\mathbb F}_p\)-points on an affine curve
• On the difference between an integer and its inverse modulo \(n\)
• The distribution of zeros of an irreducible curve over a finite field
• On the distribution of the F_p-points on an affine curve in r dimensions
• On Kloosterman's sum
• Unnamed Item
• Unnamed Item

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