On the algebraicity of some products of special values of Barnes' multiple gamma function

DOI10.1353/AJM.2018.0015zbMath1409.11066arXiv1510.01141OpenAlexW2964308220MaRDI QIDQ4582818

Tomokazu Kashio

Publication date: 24 August 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01141

zbMATH Keywords

Stark unitStark's conjectureCM-periodsBarnes' multiple gamma function

Mathematics Subject Classification ID

Units and factorization (11R27) Gamma, beta and polygamma functions (33B15) Zeta functions and (L)-functions of number fields (11R42) Elliptic functions and integrals (33E05) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Totally real fields (11R80)

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