Up: Graduate Student Seminar / Previous: Sarah Sumner - Investigating
|DREW VANDETH, Macquarie University, Centre for Number Theory Research, Sydney, Australia|
|Transcendence of the values of generalized Mahler functions|
In this talk we examine conditions under which generalized Mahler functions, of one or several variables, assume transcendental values at given algebraic points. The results are achieved through the injection of the Bombieri-Vaaler Siegel Lemma into the work of P-G. Becker and the work of F. Gramain, M. Mignotte and M. Waldschmidt.