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Washington State University
Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics
Meet on Zoom

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
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.