Number Theory (our web page)

• Factorization Algorithms for Lacunary Polynomials [NSA]
• Factorization of 0-1 Lacunary Polynomials (interactive site)
• Testing for Cyclotomic Factors of Lacunary Polynomials (interactive site)
• General Factorization Results on Lacunary Polynomials [NSA]
• Classifying Reducible Lacunary Polynomials (preliminary results [ps] [pdf])
• Connections to the Odd Covering Problem - Revisiting a Result of A. Schinzel [ps] [pdf]
• Turan's Conjecture
• Irreducibility of Classical Polynomials [NSA]
• Bessel Polynomials [ps] [pdf]
• Generalized Laguerre Polynomials
• Gegenbauer Polynomials
• Limits to the Applications of Newton Polygons to Classical Polynomials (related applet)
• Estimates for the Number of Lattice Points Close to a Curve or Surface [NSF]
• General Connections to Gap Results in Number Theory (preliminary results [ps] [pdf])
• Improvements on Estimates for the Distribution of Squarefull Numbers
• Generalizations to Surfaces with Number Theoretic Applications
• Generalizations to Number Fields with Number Theoretic Applications