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- W72454727 abstract "AbstractSeveral years ago, Kaneko experimentally observed certain congruences for the Fourier coefficients of a weakly holomorphic modular form modulo powers of primes. Recently, Kaneko and Honda proved that a special case of these congruences, namely, the congruences modulo single primes. In this chapter, we consider this weakly holomorphic modular form in the framework of the theory of mock modular forms, and prove a limit version of these congruences.KeywordsMock Modular FormsFourier Expansion CoefficientsHarmonic Weak Maass FormsComplex Multiplication FieldNormalized Cusp FormThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W72454727 created "2016-06-24" @default.
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- W72454727 date "2012-07-30" @default.
- W72454727 modified "2023-10-16" @default.
- W72454727 title "On the Honda - Kaneko Congruences" @default.
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- W72454727 doi "https://doi.org/10.1007/978-1-4614-4075-8_12" @default.
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