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Theta Series with Half-integral Characteristics
Abstract
We study theta series with half-integral characteristics attached to odd positive-definite unimodular lattices. In even rank, we get non-vanishing theta series with odd characteristics. We emphasize ranks divisible by four, where the involved rational lattices are integral unimodular neighbors.
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BibTeX
@misc{manni2026theta,
title = {{Theta Series with Half-integral Characteristics}},
author = {Riccardo Salvati Manni},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06323},
eprint = {2610.06323},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06323},
}
RIS
TY - UNPB
TI - Theta Series with Half-integral Characteristics
AU - Riccardo Salvati Manni
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06323
UR - https://arxiv.org/abs/2610.06323
AB - We study theta series with half-integral characteristics attached to odd positive-definite unimodular lattices. In even rank, we get non-vanishing theta series with odd characteristics. We emphasize ranks divisible by four, where the involved rational lattices are integral unimodular neighbors.
ER -