On the maximal difference between an element and its inverse modulo \(n\)
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Publication:1878802
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
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 Fp-points on an affine curve in r dimensions
- On Kloosterman's sum
- Unnamed Item
- Unnamed Item
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