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MR1342302 11F30 (11F03)
Akiyama, Shigeki On the $2^n$ divisibility of the Fourier coefficients of $J_q$ functions and the Atkin conjecture for $p=2$. Analytic number theory and related topics (Tokyo, 1991), 1–15, World Sci. Publ., River Edge, NJ, 1993.
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