@MISC{INT_8.MIZ,
  AUTHOR = {Ma, Na and Liang, Xiquan},
  TITLE = {Basic Properties of Primitive Root and Order Function},
  ACKNOWLEDGEMENT = {Thank you, Andrzej Trybulec and Yatsuka Nakamura.},
  DAY = {6},
  MONTH = {August},
  YEAR = {2012},
  ADDRESS1 = {Department of Mathematics and Physics\\
           Qingdao University of Science and Technology\\China},
  ADDRESS2 = {Department of Mathematics and Physics\\
           Qingdao University of Science and Technology\\China},
  SUMMARY = {In this paper, we defined the reduced residue system and
    proved its fundamental properties. Then we proved the basic
    properties of the order function. Finally, we defined the primitive
    root and proved its fundamental properties. Our work is based on
    \cite{Hua1957}, \cite{Dexin1965}, and \cite{HardyWright}.}}

@BOOK{Hua1957,
       AUTHOR = {Hua Loo Keng},
        TITLE = {Introduction to Number Theory},
    PUBLISHER = {Beijing Science Publication},
         YEAR = {1957},
      ADDRESS = {China}}

@BOOK{Dexin1965,
       AUTHOR = {Zhang Dexin},
        TITLE = {Integer Theory},
    PUBLISHER = {Science Publication},
         YEAR = {1965},
      ADDRESS = {China}}

@BOOK{HardyWright,
       AUTHOR = {G.H.Hardy, E.M.Wright},
        TITLE = {An Introduction to the Theory of Numbers},
    PUBLISHER = {Posts & Telecom Press},
         YEAR = {2007},
      ADDRESS = {China}}
