An Improvement To Zaremba’s Conjecture

Algebra and Number Theory Seminar
Event time: 
Wednesday, April 29, 2015 - 11:00am to Tuesday, April 28, 2015 - 8:00pm
LOM 205
ShinnYih Huang
Speaker affiliation: 
Yale University
Event description: 

We introduce Zaremba’s Conjecture, with recent progress and application. Specifically, we will go over Bourgain and Kontorovich’s effective density one theorem, Local obstruction, and Frolenkov and Kan’s positive density theorem. Finally, we discuss how to combine the major arcs analysis and the minor arcs analysis in both papers to obtain a refined effective density one statement.