Abstract
In this paper, we investigate the Fourier coefficients of the eta‐quotients of the forms where is the Dedekind eta function, , and 17; is a positive integer, and are arbitrary integers. We prove Ramanujan's type congruences for the Fourier coefficients of modulo powers of prime . We recover several results due to Atkin, Garvan, Gordon, Wang, Mestrige, and others. We give few examples, and we establish an improvement for Wang's results related to the 11‐regular partition function.
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