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Publications Influence

Ternary Diophantine equations of signature (p, p, 3)

- M. Bennett, V. Vatsal, S. Yazdani
- 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

42 5- PDF

CvxNet: Learnable Convex Decomposition

- Boyang Deng, Kyle Genova, S. Yazdani, Sofien Bouaziz, Geoffrey E. Hinton, A. Tagliasacchi
- Computer Science
- IEEE/CVF Conference on Computer Vision and…
- 12 September 2019

TLDR

38 4- PDF

Periodicity, morphisms, and matrices

- Sabin Cautis, F. Mignosi, J. Shallit, M. Wang, S. Yazdani
- Mathematics, Computer Science
- Theor. Comput. Sci.
- 24 February 2003

TLDR

11 1- PDF

Generalized Fermat equations: A miscellany

- M. Bennett, I. Chen, Sander R. Dahmen, S. Yazdani
- 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

22 1- PDF

Multiplicative functions and k-automatic sequences

- S. Yazdani
- Mathematics
- 2001

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 fonctions… Expand

13 1- PDF

On the greatest prime factor of some divisibility sequences

- A. Akbary, S. Yazdani
- 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

1 1- PDF

Modular Abelian Varieties of Odd Modular Degree

- S. Yazdani
- Mathematics
- 3 July 2007

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 of… Expand

4 1- PDF

An extremal property of Fekete polynomials

- P. Borwein, K. Choi, S. Yazdani
- Mathematics
- 21 July 2000

The Fekete polynomials are defined as

13- PDF

Geometry of 'standoffs' in lattice models of the spatial Prisoner's Dilemma and Snowdrift games

- R. A. Laird, Dipankar Goyal, S. Yazdani
- 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 a… Expand

3- PDF

Fekete-like polynomials

- K. Hare, S. Yazdani
- 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 ( z… Expand

2- PDF