On heights of multiplicatively dependent algebraic numbers
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Displaying 1 – 11 of 11
On Manin's conjecture for a certain singular cubic surface
Régis de La Bretèche, Tim D. Browning, Ulrich Derenthal (2007)
Annales scientifiques de l'École Normale Supérieure
On the average value of the canonical height in higher dimensional families of elliptic curves
Wei Pin Wong (2014)
Acta Arithmetica
Given an elliptic curve E over a function field K = ℚ(T₁,...,Tₙ), we study the behavior of the canonical height of the specialized elliptic curve with respect to the height of ω ∈ ℚⁿ. We prove that there exists a uniform nonzero lower bound for the average of the quotient over all nontorsion P ∈ E(K).
On the distribution of rational points on certain Kummer surfaces
Atsushi Sato (1998)
Acta Arithmetica
On the height constant for curves of genus two
Michael Stoll (1999)
Acta Arithmetica
On the height constant for curves of genus two, II
Michael Stoll (2002)
Acta Arithmetica
On the height of algebraic numbers with real conjugates
John Garza (2007)
Acta Arithmetica
On the height of the Sylvester resultant.
D'Andrea, Carlos, Hare, Kevin G. (2004)
Experimental Mathematics
On the heights of totally -adic numbers
Paul Fili (2014)
Journal de Théorie des Nombres de Bordeaux
Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally -adic numbers and generalizations thereof. In this paper, we use potential theoretic techniques to generalize the upper bounds from their paper and, under the assumption of integrality, to improve slightly upon their bounds.
On the product of heights of algebraic numbers summing to real numbers
J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
On unlikely intersections of complex varieties with tori
E. Bombieri, D. Masser, U. Zannier (2008)
Acta Arithmetica
Currently displaying 1 – 11 of 11
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