TY - JOUR
AU - Xi, Ping
AB - We prove that the Kloosterman sum $$S(1,1;c)$$ S ( 1 , 1 ; c ) changes sign infinitely often as $$c$$ c runs over squarefree moduli with at most 10 prime factors, which improves the previous results of Fouvry and Michel, Sivak-Fischler and Matomäki, replacing 10 by 23, 18 and 15, respectively. The method combines the Selberg sieve, equidistribution of Kloosterman sums and spectral theory of automorphic forms.
TI - Sign changes of Kloosterman sums with almost prime moduli
JF - Monatshefte für Mathematik
DO - 10.1007/s00605-014-0653-z
DA - 2015-05-01
UR - https://www.deepdyve.com/lp/springer-journals/sign-changes-of-kloosterman-sums-with-almost-prime-moduli-0vmbq9pD0I
SP - 141
EP - 163
VL - 177
IS - 1
DP - DeepDyve
ER -