Results 11 to 20 of about 38 (38)

Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity

Forum of Mathematics, Sigma
In a recent breakthrough, Dimitrov [Dim] solved the Schinzel–Zassenhaus conjecture. We follow his approach and adapt it to certain dynamical systems arising from polynomials of the form $T^p+c$ , where p is a prime number and where the orbit of
P. Habegger, H. Schmidt
doaj   +1 more source

Canonical heights for abelian group actions of maximal dynamical rank

Forum of Mathematics, Sigma
Let X be a smooth projective variety of dimension $n\geq 2$ and $G\cong \mathbf {Z}^{n-1}$ a free abelian group of automorphisms of X over $\overline {\mathbf {Q}}$ . Suppose that G is of positive entropy.
Fei Hu, Guolei Zhong
doaj   +1 more source

Average Analytic Ranks of Elliptic Curves over Number Fields

Forum of Mathematics, Sigma
We give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
doaj   +1 more source

Improvements on dimension growth results and effective Hilbert’s irreducibility theorem

Forum of Mathematics, Sigma
We sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree d, over any global field.
Raf Cluckers, Pierre Dèbes, Yotam I. Hendel, Kien Huu Nguyen, Floris Vermeulen   +4 more
doaj   +1 more source

Influence of cytotoxic T lymphocyte antigen 4 genetic variants on acute rejection in kidney transplant patients: precision medicine perspective. [PDF]

J Diabetes Metab Disord, 2022
Taleb A, Afshari M, Samzadeh M, Sarhangi N, Nafar M, Hasanzad M.   +5 more
europepmc   +1 more source

On the frequency of height values. [PDF]

Res Number Theory, 2021
Dill GA.
europepmc   +1 more source

On the height of Gross-Schoen cycles in genus three. [PDF]

Res Number Theory, 2018
de Jong R.
europepmc   +1 more source

Density of rational points on some quadric bundle threefolds. [PDF]

Math Ann
Bonolis D, Browning T, Huang Z.
europepmc   +1 more source

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Distribution of almost division points

Duke Mathematical Journal, 2000
Shou-Wu Zhang
exaly  

Finiteness results for multiplicatively dependent points on complex curves

Michigan Mathematical Journal, 2003
E Bombieri
exaly