On a sum analogous to Dedekind sum and its mean square value formula
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202006877 |
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| _version_ | 1849685965337001984 |
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| author | Zhang Wenpeng |
| author_facet | Zhang Wenpeng |
| author_sort | Zhang Wenpeng |
| collection | DOAJ |
| description | The main purpose of this paper is using the mean value
theorem of Dirichlet L-functions to study the asymptotic property
of a sum analogous to Dedekind sum, and give an interesting mean
square value formula. |
| format | Article |
| id | doaj-art-bbf8d232c2214dc9a94982c31015cab5 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bbf8d232c2214dc9a94982c31015cab52025-08-20T03:22:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01321475510.1155/S0161171202006877On a sum analogous to Dedekind sum and its mean square value formulaZhang Wenpeng0Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi, ChinaThe main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.http://dx.doi.org/10.1155/S0161171202006877 |
| spellingShingle | Zhang Wenpeng On a sum analogous to Dedekind sum and its mean square value formula International Journal of Mathematics and Mathematical Sciences |
| title | On a sum analogous to Dedekind sum and its mean square value formula |
| title_full | On a sum analogous to Dedekind sum and its mean square value formula |
| title_fullStr | On a sum analogous to Dedekind sum and its mean square value formula |
| title_full_unstemmed | On a sum analogous to Dedekind sum and its mean square value formula |
| title_short | On a sum analogous to Dedekind sum and its mean square value formula |
| title_sort | on a sum analogous to dedekind sum and its mean square value formula |
| url | http://dx.doi.org/10.1155/S0161171202006877 |
| work_keys_str_mv | AT zhangwenpeng onasumanalogoustodedekindsumanditsmeansquarevalueformula |