Washington State
University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Meet on Zoom
https://wsu.zoom.us/j/95843681122?pwd=YzR1eE5CU2IvUUNpQ1RlU1pPeFpCQT09
Meeting ID: 958 4368 1122
Password: M410
October 10, Monday, 4:10 - 5:00 PM
Ping Xi
School of Mathematics and Statistics
Xi'an Jiaotong University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Meet on Zoom
https://wsu.zoom.us/j/95843681122?pwd=YzR1eE5CU2IvUUNpQ1RlU1pPeFpCQT09
Meeting ID: 958 4368 1122
Password: M410
October 10, Monday, 4:10 - 5:00 PM
Ping Xi
School of Mathematics and Statistics
Xi'an Jiaotong University
Title: Bounds for bilinear forms with Kloosterman
sums
Abstract: Bilinear forms usually provide powerful tools in number theory with important applications to prime number theory and moments of L-functions. In this talk, we discuss some new bounds for bilinear forms with Kloosterman sums, complementing and improving a series of results by Fouvry, Kowalski, Michel, Sawin and Shparlinski. The arguments are essentially elementary and combinatorial. If time permits, we will also mention an application to divisor functions in arithmetic progressions on average. Joint work with Bryce Kerr, Igor Shparlinski and Xiaosheng Wu.
Abstract: Bilinear forms usually provide powerful tools in number theory with important applications to prime number theory and moments of L-functions. In this talk, we discuss some new bounds for bilinear forms with Kloosterman sums, complementing and improving a series of results by Fouvry, Kowalski, Michel, Sawin and Shparlinski. The arguments are essentially elementary and combinatorial. If time permits, we will also mention an application to divisor functions in arithmetic progressions on average. Joint work with Bryce Kerr, Igor Shparlinski and Xiaosheng Wu.