@article{504c2639a00c4143a8d9be20c0e036d8,
title = "Epsilon dichotomy for linear models",
abstract = "We relate the existence of linear models on central simple algebras to local root numbers.",
keywords = "Epsilon dichotomy, Linear models, Relative trace formulae",
author = "Hang Xue",
note = "Funding Information: I thank Wei Zhang for bringing the problem with linear periods to my attention and Rapha?l Beuzart-Plessis, Pierre-Henri Chaudouard, Qirui Li, and Miyu Suzuki for many helpful discussions. I thank Ye Tian and Shou-Wu Zhang for their constant support. I am also grateful to the anonymous referee whose comments improve and clarify several arguments in the paper. This work is partially supported by the NSF grant DMS #1901862. Publisher Copyright: {\textcopyright} 2021, Mathematical Science Publishers. All rights reserved.",
year = "2021",
doi = "10.2140/ant.2021.15.173",
language = "English (US)",
volume = "15",
pages = "173--215",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "1",
}