Select Publications
Preprints
2007, On the largest prime factor of the Mersenne numbers, , http://dx.doi.org/10.48550/arxiv.0704.1327
,2007, Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics, , http://dx.doi.org/10.48550/arxiv.quant-ph/0703236
,2006, Sato--Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height, , http://dx.doi.org/10.48550/arxiv.math/0609144
,2006, Distribution of modular inverses and multiples of small integers and the Sato--Tate conjecture on average, , http://dx.doi.org/10.48550/arxiv.math/0608596
,2006, On the distribution of Kloosterman sums, , http://dx.doi.org/10.48550/arxiv.math/0608595
,2006, Character sums with Beatty sequences on Burgess-type intervals, , http://dx.doi.org/10.48550/arxiv.math/0608042
,2006, On Some Dynamical Systems in Finite Fields and Residue Rings, , http://dx.doi.org/10.48550/arxiv.math/0607779
,2006, Density of non-residues in Burgess-type intervals and applications, , http://dx.doi.org/10.48550/arxiv.math/0607692
,2006, Arithmetic properties of the Ramanujan function, , http://dx.doi.org/10.48550/arxiv.math/0607591
,2006, On curves over finite fields with Jacobians of small exponent, , http://dx.doi.org/10.48550/arxiv.math/0607474
,2006, On a Generalisation of a Lehmer Problem, , http://dx.doi.org/10.48550/arxiv.math/0607414
,2006, Integers with a large smooth divisor, , http://dx.doi.org/10.48550/arxiv.math/0601460
,2005, Uniform Distribution of Fractional Parts Related to Pseudoprimes, , http://dx.doi.org/10.48550/arxiv.math/0505098
,2005, On Approximately Symmetric Informationally Complete Positive Operator-Valued Measures and Related Systems of Quantum States, , http://dx.doi.org/10.48550/arxiv.quant-ph/0503239
,2004, Prime divisors of sequences associated to elliptic curves, , http://dx.doi.org/10.48550/arxiv.math/0404129
,2004, Complexity of Inverting the Euler Function, , http://dx.doi.org/10.48550/arxiv.math/0404116
,2004, Character Sums and Congruences with n!, , http://dx.doi.org/10.48550/arxiv.math/0403422
,2004, Exponential Sums and Congruences with Factorials, , http://dx.doi.org/10.48550/arxiv.math/0403424
,2002, Classical and Quantum Polynomial Reconstruction via Legendre Symbol Evaluation, , http://dx.doi.org/10.48550/arxiv.quant-ph/0212016
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