Research Group
| Seminar | WSU Colloquium
| Department Home

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.