An identity for a class of arithmetical functions of several variables
Johnson [1] evaluated the sum ∑d|n|C(d;r)|, where C(n;r) denotes Ramanujan's trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions of several vari...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000432 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552337005084672 |
|---|---|
| author | Pentti Haukkanen |
| author_facet | Pentti Haukkanen |
| author_sort | Pentti Haukkanen |
| collection | DOAJ |
| description | Johnson [1] evaluated the sum ∑d|n|C(d;r)|, where C(n;r) denotes Ramanujan's
trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of
two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions
of several variables and deduce as special cases the previous evaluations. |
| format | Article |
| id | doaj-art-04caaaa1bc824947a2ef0dce3b40a861 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-04caaaa1bc824947a2ef0dce3b40a8612025-02-03T05:58:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116235535810.1155/S0161171293000432An identity for a class of arithmetical functions of several variablesPentti Haukkanen0Department of Mathematical Sciences, University of Tempere, P.O. Box 607, Tampere SF-33101, FinlandJohnson [1] evaluated the sum ∑d|n|C(d;r)|, where C(n;r) denotes Ramanujan's trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions of several variables and deduce as special cases the previous evaluations.http://dx.doi.org/10.1155/S0161171293000432arithmetical functions of several variablesmultiplicative functionsRamanujan's sum and its generalizations. |
| spellingShingle | Pentti Haukkanen An identity for a class of arithmetical functions of several variables International Journal of Mathematics and Mathematical Sciences arithmetical functions of several variables multiplicative functions Ramanujan's sum and its generalizations. |
| title | An identity for a class of arithmetical functions of several variables |
| title_full | An identity for a class of arithmetical functions of several variables |
| title_fullStr | An identity for a class of arithmetical functions of several variables |
| title_full_unstemmed | An identity for a class of arithmetical functions of several variables |
| title_short | An identity for a class of arithmetical functions of several variables |
| title_sort | identity for a class of arithmetical functions of several variables |
| topic | arithmetical functions of several variables multiplicative functions Ramanujan's sum and its generalizations. |
| url | http://dx.doi.org/10.1155/S0161171293000432 |
| work_keys_str_mv | AT penttihaukkanen anidentityforaclassofarithmeticalfunctionsofseveralvariables AT penttihaukkanen identityforaclassofarithmeticalfunctionsofseveralvariables |