PreprintCC BY 4.0arXiv
Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
Abstract
In this short note, we show that the loss of order Ncp/loglog N in the version of the Ionescu--Wainger multiplier theorem for canonical fractions, recently established by Kosz, Mirek, Słomian, and Zhang in arXiv:2606.12663, is optimal.
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BibTeX
@misc{slomian2026sharp,
title = {{Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions}},
author = {Wojciech Słomian},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16426},
eprint = {2609.16426},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16426},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
AU - Wojciech Słomian
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.16426
UR - https://arxiv.org/abs/2609.16426
AB - In this short note, we show that the loss of order N^c_p/loglog N in the version of the Ionescu--Wainger multiplier theorem for canonical fractions, recently established by Kosz, Mirek, Słomian, and Zhang in arXiv:2606.12663, is optimal.
ER -