Zobrazeno 1 - 10
of 616
pro vyhledávání: '"Mello, Jorge"'
Autor:
Cullinan, John, Dobson, Shanna, Frey, Linda, Hamakiotes, Asimina, Hernandez, Roberto, Kaplan, Nathan, Mello, Jorge, Scullard, Gabrielle
Let $E$ and $E'$ be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime $p$ \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq E'(\F_{p^2})$. Our main result is an explicit formula for the proporti
Externí odkaz:
http://arxiv.org/abs/2401.06250
Let $f$ be a polynomial with coefficients in the ring $O_S$ of $S$-integers of a number field $K$, $b$ a non-zero $S$-integer, and $m$ an integer $\ge 2$. We consider the equation $( \star )$: $f(x) = b y^m$ in $x,y \in O_S$. Under the well-known LeV
Externí odkaz:
http://arxiv.org/abs/2310.09704
Let f_t be a meromorphic family of endomorphisms of P^N_C of degree at least 2, and let L(f_t) be the sum of Lyapunov exponents associated to f_t. Favre showed that L(f_t)=L(f)\log|t^{-1}|+o(\log|t^{-1}|) as t -> 0, where L(f) is the sum of Lyapunov
Externí odkaz:
http://arxiv.org/abs/2210.14733
In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are `close' (with respect to the Weil height) to division groups of finitely generated multiplicative groups of a number fiel
Externí odkaz:
http://arxiv.org/abs/2107.05371
Autor:
Mello, Jorge
We give effective bounds for the set quasi-integral points in orbits of non-isotrivial rational maps over function fields under some conditions, generalizing previous work of Hsia and Silverman (2011) for orbits over function fields of characteristic
Externí odkaz:
http://arxiv.org/abs/2012.01844
Autor:
Mello, Jorge
Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results abou
Externí odkaz:
http://arxiv.org/abs/2009.00947
Let $E_1$ and $E_2$ be elliptic curves in Legendre form with integer parameters. We show there exists a constant $C$ such that for almost all primes, for all but at most $C$ pairs of points on the reduction of $E_1 \times E_2$ modulo $p$ having equal
Externí odkaz:
http://arxiv.org/abs/2008.00433
Autor:
Mello, Jorge
We show, under some natural conditions, that the set of abelian points on the non-anomalous subset of a closed irreducible subvariety $X$ intersected with the union of connected algebraic subgroups of codimension at least $\dim X$ in a torus is finit
Externí odkaz:
http://arxiv.org/abs/2006.06230
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, defined by polynomials with integer coefficients, and on their reductions modulo sufficiently large primes to study congruences with products and recipr
Externí odkaz:
http://arxiv.org/abs/2005.02923
Autor:
Mello, Jorge
We study the extension of a result of Loxton (1972) on representation of algebraic integers as sums of roots of unity to Kummer extensions.
Externí odkaz:
http://arxiv.org/abs/1912.09010