AbstractsMathematics

Brocard's problem and variations

by Yi Liu




Institution: University of Waikato
Department:
Year: 2013
Record ID: 1307010
Full text PDF: http://hdl.handle.net/10289/7565


Abstract

This thesis examines the work which has been done on Brocard’s problem which is to study solutions to n! + 1 = x², and related problems of the form n! = f(x) or n! = f(x, y), where f is a polynomial with integer coefficients. I also consider problems of the form n! = f(x), where there are apparently no solutions.