Determinants of trigonometric functions and class numbers

DOI10.1016/j.laa.2022.08.001zbMath1504.11050OpenAlexW4289936908WikidataQ113869449 ScholiaQ113869449MaRDI QIDQ2676731

Xue Jun Guo

Publication date: 28 September 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.08.001

zbMATH Keywords

characterstrigonometric functionsdeterminantsclass numbers

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Exponential and trigonometric functions (33B10) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• On Maillet determinant
• Character coordinates and annihilators of cyclotomic numbers
• An index formula for the relative class number of an abelian number field
• Inclusion of CM-fields and divisibility ofrelative class numbers
• Maillet’s determinant

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