• Publications
• Influence
Ternary Diophantine equations of signature (p, p, 3)
• Mathematics
• 1 November 2004
In this paper, we develop machinery to solve ternary Diophantine equations of the shape Axn + Byn = Cz3 for various choices of coefficients (A,B, C). As a byproduct of this, we show, if p is prime,Expand
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• 5
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CvxNet: Learnable Convex Decomposition
• Computer Science
• IEEE/CVF Conference on Computer Vision and…
• 12 September 2019
We introduce a network architecture to represent a family of convex polytopes based on primitive decomposition. Expand
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• 4
• PDF
Periodicity, morphisms, and matrices
• Mathematics, Computer Science
• Theor. Comput. Sci.
• 24 February 2003
We apply our methods to a previously unsolved conjecture on iterated morphisms, the decreasing length conjecture: if h + k − gcd(h,k) were replaced by any smaller number, then k ≤ n. Expand
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• 1
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Generalized Fermat equations: A miscellany
• Mathematics
• 1 February 2015
This paper is devoted to the generalized Fermat equation xp + yq = zr, where p, q and r are integers, and x, y and z are nonzero coprime integers. We begin by surveying the exponent triples (p, q,Expand
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• 1
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Multiplicative functions and k-automatic sequences
Une suite est dite k-automatique si son ne terme peut etre engendre par une machine a etats finis lisant en entree le developpement de n en base k. Nous prouvons que, pour de nombreuses fonctionsExpand
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• 1
• PDF
On the greatest prime factor of some divisibility sequences
• Mathematics
• 24 May 2015
Let $P(m)$ denote the greatest prime factor of $m$. For integer $a>1$, M. Ram Murty and S. Wong proved that, under the assumption of the ABC conjecture, $$P(a^n-1)\gg_{\epsilon, a} n^{2-\epsilon}$$Expand
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• 1
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Modular Abelian Varieties of Odd Modular Degree
In this paper, we will study modular Abelian varieties with odd congruence numbers by examining the cuspidal subgroup of $J_0(N)$. We will show that the conductor of such Abelian varieties must be ofExpand
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• 1
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An extremal property of Fekete polynomials
• Mathematics
• 21 July 2000
The Fekete polynomials are defined as
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• PDF
Geometry of 'standoffs' in lattice models of the spatial Prisoner's Dilemma and Snowdrift games
• Mathematics
• 1 September 2013
The Prisoner’s Dilemma and Snowdrift games are the main theoretical constructs used to study the evolutionary dynamics of cooperation. In large, well-mixed populations, mean-field models predict aExpand
• 3
• PDF
Fekete-like polynomials
• Mathematics
• 1 October 2010
Abstract In 2001, Borwein, Choi, and Yazdani looked at an extremal property of a class of polynomial with ±1 coefficients. Their key result was: Theorem (See Borwein, Choi, Yazdani, 2001.) Let f ( zExpand
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