Shimura sums related to imaginary quadratic fields

DOI10.3792/PJAA.70.146zbMath0813.11031OpenAlexW1977713362MaRDI QIDQ1340358

Ken Ono

Publication date: 19 December 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.146

zbMATH Keywords

Fourier expansionmodular formarithmetical functionShimura sums

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Elementary theory of partitions (11P81)

Related Items (4)

Multiplicative Dedekind \(\eta\)-function and representations of finite groups ⋮ Dedekind \(\eta\)-function in modern research ⋮ Arithmetic properties of Shimura sums related to several modular forms ⋮ The Dedekind eta-function in algebra and number theory: old and new problems

Cites Work

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• Hamiltonian stability of Lagrangian tori in toric Kähler manifolds
• On the Shimura lift, après Selberg
• On modular forms of half integral weight
• Sur la lacunarité des puissances de η
• Lacunarity of Dedekind η-products

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