TY - JOUR
T1 - On a generalisation of a Lehmer problem
AU - Shparlinski, Igor E.
PY - 2009/9
Y1 - 2009/9
N2 - We consider a generalisation of the classical Lehmer problem about the distribution of modular inverses in arithmetic progression, introduced by E. Alkan, F. Stan and A. Zaharescu. Using bounds for multiplicative character sums instead of bounds for Kloosterman sums traditionally applied to this kind of problem, we improve their results in several directions.
AB - We consider a generalisation of the classical Lehmer problem about the distribution of modular inverses in arithmetic progression, introduced by E. Alkan, F. Stan and A. Zaharescu. Using bounds for multiplicative character sums instead of bounds for Kloosterman sums traditionally applied to this kind of problem, we improve their results in several directions.
UR - http://www.scopus.com/inward/record.url?scp=70350153896&partnerID=8YFLogxK
U2 - 10.1007/s00209-008-0434-2
DO - 10.1007/s00209-008-0434-2
M3 - Article
AN - SCOPUS:70350153896
SN - 0025-5874
VL - 263
SP - 619
EP - 631
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3
ER -