caa a22 4500 445868961 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00605-009-0156-5 doi (NATIONALLICENCE)springer-10.1007/s00605-009-0156-5 Chan Tsz Department of Mathematical Sciences, University of Memphis, 38152, Memphis, TN, USA aut An almost all result on $${q_1q_2\equiv c ({\rm mod}\, q)}$$ [Elektronische Daten] [Tsz Chan] In this paper, we consider the congruence equation $${q_1 q_2 \equiv c ({\rm mod}\, q)}$$ with $${a < q_1 \leq a+q^{1/2+\epsilon}}$$ and $${b < q_2 \leq b+q^{1/2+\epsilon}}$$ and show that it has solution for almost all a and b. Then we apply it to a question of Fujii and Kitaoka as well as generalize it to more variables. At the end, we present a new way to attack the above congruence equation question through higher moments. Springer-Verlag, 2009 Congruence equation nationallicence Almost all nationallicence Kloosterman sum nationallicence Hyper-Kloosterman sum nationallicence Monatshefte für Mathematik Springer Vienna 162/1(2011-01-01), 29-39 0026-9255 162:1<29 2011 162 605 https://doi.org/10.1007/s00605-009-0156-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0156-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chan Tsz Department of Mathematical Sciences, University of Memphis, 38152, Memphis, TN, USA aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 162/1(2011-01-01), 29-39 0026-9255 162:1<29 2011 162 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer