| Title:
|
On a sum involving the integral part function (English) |
| Author:
|
Chen, Bo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
74 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
437-444 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $[t]$ be the integral part of a real number $t$, and let $f$ be the arithmetic function satisfying some simple condition. We establish a new asymptotical formula for the sum $S_f (x)=\sum _{n\le x}f([ x/ n ])$, which improves the recent result of J. Stucky (2022). (English) |
| Keyword:
|
asymptotical formula |
| Keyword:
|
exponential sum |
| Keyword:
|
exponential pair |
| Keyword:
|
integral part |
| MSC:
|
11L07 |
| MSC:
|
11N37 |
| idZBL:
|
Zbl 07893392 |
| idMR:
|
MR4764533 |
| DOI:
|
10.21136/CMJ.2024.0360-23 |
| . |
| Date available:
|
2024-07-10T14:52:27Z |
| Last updated:
|
2026-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152451 |
| . |
| 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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| . |
