Fourier coefficients of powers of the Dedekind eta function

DOI10.1007/s11139-017-9923-4zbMath1460.11049OpenAlexW2740627931MaRDI QIDQ1733353

Florian Rupp, Markus Neuhauser, Bernhard E. Heim

Publication date: 21 March 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9923-4

zbMATH Keywords

Fourier coefficientsEuler productsLehmer conjectureDedekind eta function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Dedekind eta function, Dedekind sums (11F20)

Related Items (9)

On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials ⋮ On cyclotomic factors of polynomials related to modular forms ⋮ Unnamed Item ⋮ On conjectures regarding the Nekrasov-Okounkov hook length formula ⋮ Recurrence relations for polynomials obtained by arithmetic functions ⋮ Unnamed Item ⋮ Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function ⋮ Unnamed Item ⋮ Extension of results of Kostant and Han

Cites Work

• Jacobis Tripelprodukt-Identität und \(\eta\)-Identitäten in der Theorie affiner Lie-Algebren. (Jacobi's triple product identity and \(\eta\)- identities in the theory of affine Lie algebras)
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On modular forms of half integral weight
• The vanishing of Ramanujan's function \(\tau(n)\)
• A New Type of Functional Equations of Euler Products
• Eta Products and Theta Series Identities
• Über Operatoren Heckescher Art bei Modulformen reeller Dimension
• A Characterization of Holomorphic Borcherds Lifts by Symmetries
• Sur la lacunarité des puissances de η
• Superlacunary Cusp Forms
• An Identity for the Coefficients of Certain Modular Forms
• Modular Forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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