On McKay’s conjecture

DOI10.1017/S0027763000020985zbMath0548.10018WikidataQ122884604 ScholiaQ122884604MaRDI QIDQ3340929

Masao Koike

Publication date: 1984

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dedekind \(\eta\)-function\(\eta\)-productmultiplicative Fourier coefficientsnew forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11)

Related Items (14)

Mathieu group M₂₄ and modular forms ⋮ An orbifold theory of genus zero associated to the sporadic group \(M_{24}\) ⋮ Finite groups and Hecke operators ⋮ Multiplicative Dedekind \(\eta\)-function and representations of finite groups ⋮ On a system of elliptic modular forms attached to the large Mathieu group ⋮ Twisted elliptic genus for \(K3\) and Borcherds product ⋮ EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS ⋮ Modular forms and the automorphism group of Leech lattice ⋮ 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 ⋮ Finite simple groups and multiplicative \(\eta\)-products ⋮ One special class of modular forms and group representations ⋮ Another congruence for the Apéry numbers

Cites Work

• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Zeta-functions of elliptic curves of 2-power conductor
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)

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