Multiplicative dependence of rational values modulo approximate finitely generated groups A Bérczes, Y Bugeaud, K Győry, J Mello, A Ostafe, M Sha
arXiv preprint arXiv:2107.05371, 2021
4 2021 On quantitative estimates for quasiintegral points in orbits of semigroups of rational maps. J Mello
New York Journal of Mathematics, 2019
4 2019 On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields B Kerr, J Mello, IE Shparlinski
3 2021 On semigroup orbits of polynomials and multiplicative orders J Mello
Bulletin of the Australian Mathematical Society 102 (3), 365-373, 2020
3 2020 On the properties of Northcott and Narkiewicz for elliptic curves J Mello, M Sha
International Journal of Number Theory 18 (10), 2129-2144, 2022
2 2022 The dynamical and arithmetical degrees for eigensystems of rational self-maps J Mello
Bulletin of the Brazilian Mathematical Society, New Series 51 (2), 569-596, 2020
2 2020 On variation of dynamical canonical heights for semigroups of morphisms J Mello
Journal of Pure and Applied Algebra 224 (3), 1195-1204, 2020
2 2020 Explicit bounds for the solutions of superelliptic equations over number fields A Bérczes, Y Bugeaud, K Győry, J Mello, A Ostafe, M Sha
Forum Mathematicum, 2024
1 2024 On effective -integrality in orbits of rational maps over function fields and multiplicative dependence J Mello
European Journal of Mathematics 9 (4), 112, 2023
1 2023 An effective local-global principle and additive combinatorics in finite fields B Kerr, J Mello, IE Shparlinski
Journal d'Analyse Mathématique, 1-27, 2023
1 2023 Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height J Mello
Functiones et Approximatio Commentarii Mathematici 67 (2), 259-279, 2022
1 2022 On abelian points of varieties intersecting subgroups in a torus J Mello
Journal de théorie des nombres de Bordeaux 34 (1), 309-322, 2022
1 2022 On intersections of polynomial semigroups orbits with plane lines J Mello
Canadian Mathematical Bulletin 64 (2), 442-451, 2021
1 2021 Canonical heights and monomial maps: On effective lower bounds for points with dense orbit J Mello
Journal of Number Theory 205, 321-339, 2019
1 2019 On semigroup orbits of polynomials in subgroups J Mello
arXiv preprint arXiv:1910.07637, 2019
1 2019 An asymptotic for sums of Lyapunov exponents in families P Ingram, D Jaramillo-Martinez, J Mello
arXiv preprint arXiv:2210.14733, 2022
2022 On semigroup orbits of polynomials in multiplicative subgroups J Mello
Monatshefte für Mathematik 197 (1), 177-191, 2022
2022 An effective local-global principle for algebraic varieties and the sum product problem in finite fields B Kerr, J Mello, I Shparlinski
arXiv preprint arXiv:2005.02923, 2020
2020 On the maximum modulus of integers in Kummer extensions J Mello
arXiv preprint arXiv:1912.09010, 2019
2019 ON THE NORTHCOTT PROPERTY OF ELLIPTIC CURVES J MELLO, MIN SHA
arXiv preprint arXiv:1911.08752, 2019
2019