19 citations · 31 across the 14 of their papers we have counts for
5 papers · 1 filter
On the Dynamical System Generated by the Möbius Transformation at Smooth Times
László Mérai, Igor E. Shparlinski
We study the distribution of the sequence of the first elements of the discrete dynamical system generated by the Möbius transformation over a fin…
On the correlations between character sums of division polynomials under shifts
Subham Bhakta, Igor E. Shparlinski
Let be an elliptic curve over the finite field , and be an -rational point. We study the sums \[ S_{χ,P}(N,h) = \sum_{n=1}^N…
On quantum ergodicity for higher dimensional cat maps modulo prime powers
Subham Bhakta, Igor E. Shparlinski
A discrete model of quantum ergodicity of linear maps generated by symplectic matrices modulo an integer , has been studied for and…
Mean value theorems with smooth numbers
F. Majeed, Igor E. Shparlinski
We obtain new mean value theorems for exponential sums with very smooth numbers, which provide a power saving against the trivial bound in region where previous bounds do not apply…
Multiple sums with the Möbius function
William D. Banks, Igor E. Shparlinski
We establish nontrivial bounds for bilinear sums involving the Möbius function evaluated over solutions to a broad class of equations. Several of our results may be regarded as Möb…