| Title:
|
On the asymmetric divisor problem with congruence conditions (English) |
| Author:
|
Kühleitner, Manfred |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
99-116 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A certain generalized divisor function $d^*(n)$ is studied which counts the number of factorizations of a natural number $n$ into integer powers with prescribed exponents under certain congruence restrictions. An $\Omega$-estimate is established for the remainder term in the asymptotic for its Dirichlet summatory function. (English) |
| Keyword:
|
multidimensional asymmetric divisor problems |
| MSC:
|
11M06 |
| MSC:
|
11M35 |
| MSC:
|
11N37 |
| MSC:
|
11N69 |
| MSC:
|
11P21 |
| idZBL:
|
Zbl 0852.11052 |
| idMR:
|
MR1396163 |
| . |
| Date available:
|
2009-01-08T18:22:21Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118815 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
