Wladimir de Azevedo Pribitkin (Haverford College)

Kloosterman Sums

Abstract for the Combinatorics and Number Theory Seminar
2002 November 12

Kloosterman sums arise naturally in connection with certain modular forms called Poincaré series. In this talk I will expound their historical origin and explain their relevance in the context of the Linnik-Selberg Conjecture. In particular, I will present a recent refinement of mine for the remainder term that appears in the Petersson inner product of two nonholomorphic Poincaré series.