• DocumentCode
    1913954
  • Title

    On a Property of Sum Analogous to the Generalized Dedekind Sum S_2(h,n,k)

  • Author

    Liu, Zhidu ; Wang, Yang

  • Author_Institution
    Coll. of Comput. & Inf. Technol., Nanyang Normal Univ., Nanyang, China
  • Volume
    4
  • fYear
    2009
  • fDate
    10-11 Oct. 2009
  • Firstpage
    570
  • Lastpage
    573
  • Abstract
    The main purpose of this paper is to study the mean value of square for sum analogous to the generalized Dedekind sum by using the mean value Theorem of Dirichlet L-functions. Based these asymptotic properties, an interesting asymptotic formula is obtained about the mean value of square for sum analogous to the generalized Dedekind sum. These results improve and generalize some recent known results in literature.
  • Keywords
    number theory; Dirichlet L-functions theorem; asymptotic formula; generalized Dedekind sum S2(h,n,k); Automation; Educational institutions; Information technology; Mathematics; Polynomials; Statistics; Dirichlet L-functions; asymptotic formula; mean value; sum analogous to the generalized Dedekind;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
  • Conference_Location
    Changsha, Hunan
  • Print_ISBN
    978-0-7695-3804-4
  • Type

    conf

  • DOI
    10.1109/ICICTA.2009.852
  • Filename
    5288359
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1913954