Functional graphs of polynomials over finite fields SV Konyagin, F Luca, B Mans, L Mathieson, M Sha, IE Shparlinski Journal of Combinatorial Theory, Series B 116, 87-122, 2016 | 33 | 2016 |
Monomial dynamical systems of dimension one over finite fields M Sha, S Hu arXiv preprint arXiv:0910.5550, 2009 | 22 | 2009 |
Counting and testing dominant polynomials A Dubickas, M Sha Experimental Mathematics 24 (3), 312-325, 2015 | 21 | 2015 |
On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem A Ostafe, M Sha, IE Shparlinski, U Zannier Michigan Mathematical Journal 68 (2), 385-407, 2019 | 16 | 2019 |
The arithmetic of Carmichael quotients M Sha Periodica Mathematica Hungarica 71 (1), 11-23, 2015 | 16 | 2015 |
On multiplicatively dependent vectors of algebraic numbers F Pappalardi, M Sha, I Shparlinski, C Stewart Transactions of the American Mathematical Society 370 (9), 6221-6244, 2018 | 15 | 2018 |
On the quantitative dynamical Mordell–Lang conjecture A Ostafe, M Sha Journal of Number Theory 156, 161-182, 2015 | 15 | 2015 |
Digraphs from endomorphisms of finite cyclic groups M Sha arXiv preprint arXiv:1007.1712, 2010 | 13 | 2010 |
On the distribution of multiplicatively dependent vectors SV Konyagin, M Sha, IE Shparlinski, CL Stewart Mathematical Research Letters 30 (2), 509-540, 2023 | 12* | 2023 |
On functional graphs of quadratic polynomials B Mans, M Sha, IE Shparlinski, D Sutantyo Experimental Mathematics 28 (3), 292-300, 2019 | 12 | 2019 |
On abelian multiplicatively dependent points on a curve in a torus A Ostafe, M Sha, IE Shparlinski, U Zannier arXiv preprint arXiv:1704.04694, 2017 | 11 | 2017 |
Counting dynamical systems over finite fields A Ostafe, M Sha Dynamics and numbers, 187-203, 2016 | 11 | 2016 |
Multiplicative dependence of the translations of algebraic numbers A Dubickas, M Sha Revista matemática iberoamericana 34 (4), 1789-1808, 2018 | 10 | 2018 |
Gauss factorials of polynomials over finite fields X Li, M Sha arXiv preprint arXiv:1704.04972, 2017 | 10 | 2017 |
Counting degenerate polynomials of fixed degree and bounded height A Dubickas, M Sha Monatshefte für Mathematik 177 (4), 517-537, 2015 | 10 | 2015 |
Bounding the j-invariant of integral points on modular curves M Sha International Mathematics Research Notices 2014 (16), 4492-4520, 2014 | 10 | 2014 |
On the cycle structure of repeated exponentiation modulo a prime power M Sha arXiv preprint arXiv:1101.3482, 2011 | 10 | 2011 |
Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves M Sha, IE Shparlinski arXiv preprint arXiv:1404.0182, 2014 | 8 | 2014 |
Multiplicative and linear dependence in finite fields and on elliptic curves modulo primes F Barroero, L Capuano, L Mérai, A Ostafe, M Sha International Mathematics Research Notices 2022 (20), 16094-16137, 2022 | 7 | 2022 |
Torsion points with multiplicatively dependent coordinates on elliptic curves F Barroero, M Sha Bulletin of the London Mathematical Society 52 (5), 807-815, 2020 | 7 | 2020 |