Complex powers of eta-function

DOI10.1142/S1793042118500975zbMath1428.17020MaRDI QIDQ3174669

Alexander Zuevsky

Publication date: 17 July 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

identitiesmodular forms\(\eta\)-function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Vertex operators; vertex operator algebras and related structures (17B69) Modular and automorphic functions (11F03)

Cites Work

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• Genus two partition and correlation functions for fermionic vertex operator superalgebras. I.
• The Szegő kernel on a sewn Riemann surface
• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds
• Affine root systems and Dedekind's \(\eta\)-function
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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