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Exponential sums over singular binary quintics

Number Theory 2026-05-07 v1

Abstract

We give an estimate of exponential sums over singular binary quintic forms in a characteristic-free form, based on the Waring decomposition of binary forms. This extends the method on our preceding result on the space of binary quartics to a non-coregular space.

Keywords

Cite

@article{arxiv.2605.04935,
  title  = {Exponential sums over singular binary quintics},
  author = {Yasuhiro Ishitsuka},
  journal= {arXiv preprint arXiv:2605.04935},
  year   = {2026}
}

Comments

16 pages

R2 v1 2026-07-01T12:52:51.380Z