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
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;
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
DOI :
10.1109/ICICTA.2009.852
