Some arithmetic on the hardy sums s2(h, k) and s3(h, k)

Acta Mathematica Sinica, English Series

Volumn 20, Issue 2, 2004, Pages 193-200

  Can, Mümün ^a  

^a AKDENIZ UNIVERSITY   (Turkey)

Author keywords

Dedekind Sums; Hardy Sums

Indexed keywords

EID: 17444387929     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0324-4     Document Type: Article

References (10)

1. Rademacher, H.: Zur Theorie der Dedekinachen Summen. Math. Zeitachr., 63, 445-463 (1956)
2. Rademacher, H.: Questions 99 and 100, Proceedings of the 1963 Number Theory Conference, University of Colorado, Boulder, Colorado, p. 112, 1963
3. Asai, T.: Some arithmetic on Dedekind sums. J. Math. Soc. Japan, 38(1), 163-172 (1986)
4. Hickerson, D.: Continued fractions and density results for Dedekind sums. J. Reine Angew. Math., 290, 113-116 (1977)
5. Apostol, T. M., Vu, T. H.: Elementary properties of Berndt's reciprocity laws. Pacific J. Math., 98(1), 17-23 (1982)
6. Berndt, B. C., Goldberg, L.: Analytical properties of arithmetic sums arising in the theory of the classical theta functions. Siam J. Math. Anal., 15(1), 143-150 (1982)
7. Goldberg, L.: Transformations of theta functions and analogues of Dedekind sums, Thesis, University of Illinois, Urbana, 1982
8. Meyer, J. L.: Properties of certain integer-valued analogues of Dedekind sums. Acta Arith, LXXXII (3), 229-242 (1997)
9. Meyer, J. L.: Analogues of Dedekind sums, Thesis, University of Illinois, Urbana, 1997
10. Sitaramachandrarao, R.: Dedekind and Hardy sums. Acta Arith., XLIII, 325-340 (1987)