@inbook{92300f66befd4065b1a32446d6063fa2,
title = "On Linnik and Selberg{\textquoteright}s conjecture about sums of Kloosterman sums",
abstract = "We examine the Linnik and Selberg Conjectures concerning sums of Kloosterman sums, in all its aspects (x, m and n). We correct the precise form of the Conjecture and establish an analogue of Kuznetzov{\textquoteright}s 1/6 exponent in the mn aspect. This, perhaps somewhat surprisingly, is connected with the transional ranges associated with asymptotics of Bessel Functions of large order.",
keywords = "Kloosterman sums, Kuznetzov formula, Ramanujan-Selberg conjectures",
author = "Peter Sarnak and Jacob Tsimerman",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media, LLC 2009.",
year = "2009",
doi = "10.1007/978-0-8176-4747-6_20",
language = "English (US)",
series = "Progress in Mathematics",
publisher = "Springer Basel",
pages = "619--635",
booktitle = "Progress in Mathematics",
}