PreprintarXiv licencearXiv
Exponential sums over singular binary quintics
Abstract
We give a characteristic-free explicit formula for exponential sums over singular binary quintic forms, based on the Waring decomposition of binary forms. This extends the method used in our previous work on the space of binary quartics to a non-coregular space.
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BibTeX
@misc{ishitsuka2026exponential,
title = {{Exponential sums over singular binary quintics}},
author = {Yasuhiro Ishitsuka},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.04935},
eprint = {2605.04935},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.04935},
}
RIS
TY - UNPB
TI - Exponential sums over singular binary quintics
AU - Yasuhiro Ishitsuka
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2605.04935
UR - https://arxiv.org/abs/2605.04935
AB - We give a characteristic-free explicit formula for exponential sums over singular binary quintic forms, based on the Waring decomposition of binary forms. This extends the method used in our previous work on the space of binary quartics to a non-coregular space.
ER -