On a sum involving the integral part function
Czechoslovak Mathematical Journal (2024)
- Volume: 74, Issue: 2, page 437-444
- ISSN: 0011-4642
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topChen, Bo. "On a sum involving the integral part function." Czechoslovak Mathematical Journal 74.2 (2024): 437-444. <http://eudml.org/doc/299574>.
@article{Chen2024,
abstract = {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).},
author = {Chen, Bo},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotical formula; exponential sum; exponential pair; integral part},
language = {eng},
number = {2},
pages = {437-444},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a sum involving the integral part function},
url = {http://eudml.org/doc/299574},
volume = {74},
year = {2024},
}
TY - JOUR
AU - Chen, Bo
TI - On a sum involving the integral part function
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 2
SP - 437
EP - 444
AB - 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).
LA - eng
KW - asymptotical formula; exponential sum; exponential pair; integral part
UR - http://eudml.org/doc/299574
ER -
References
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