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Complex numbers: uncommon knowledge
Abstract
In this note we unveil some subfields of the field of complex numbers which are well known to specialists, but seem to remain hidden for a wider mathematical audience. The existence and construc- tions of these fields follow directly from famous results of the 20-th century, however standard graduate textbooks avoid these topics.
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BibTeX
@misc{penkov2026complex,
title = {{Complex numbers: uncommon knowledge}},
author = {Ivan Penkov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09259},
eprint = {2609.09259},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09259},
}
RIS
TY - UNPB
TI - Complex numbers: uncommon knowledge
AU - Ivan Penkov
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09259
UR - https://arxiv.org/abs/2609.09259
AB - In this note we unveil some subfields of the field of complex numbers which are well known to specialists, but seem to remain hidden for a wider mathematical audience. The existence and construc- tions of these fields follow directly from famous results of the 20-th century, however standard graduate textbooks avoid these topics.
ER -