Weight 1/2 multiplier systems for the group \(\Gamma_0^+ (p)\) and a geometric formulation

DOI10.1007/s00013-023-01948-warXiv2305.13196OpenAlexW4390902872MaRDI QIDQ6189344

Michael H. Mertens, Mark A. Norfleet

Publication date: 8 February 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.13196

zbMATH Keywords

triangulationDedekind sumsRademacher symbolsbased edge paths

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

• Generalized Dedekind sums and equidistribution mod 1
• On spaces of modular forms spanned by eta-quotients
• A relation between Dedekind sums and Kloosterman sums
• Dedekind sums, \(\mu\)-invariants and the signature cocycle
• Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products
• Die Signatur von Flächenbündeln
• Modular cocycles and linking numbers
• Kronecker’s Limit Formula, Holomorphic Modular Functions, andq-Expansions on Certain Arithmetic Groups
• Reciprocity of Dedekind sums and the Euler class
• Construction and Application of a Class of Modular Functions†
• An Extension of Casson's Invariant. (AM-126)
• On a certain class of modular functions
• Dedekind sums, reciprocity, and non-arithmetic groups
• Construction and Application of a Class of Modular Functions (II)†
• Dedekind Sums for a Fuchsian Group, I
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