On the non-existence of simple congruences for quotients of Eisenstein series

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Dewar, Michael
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A recent article of Berndt and Yee found congruences modulo 3^k for certain ratios of Eisenstein series. For all but one of these, we show there are no simple congruences a(pn+c) = 0 modulo p when p>= 13 is prime. This follows from a more general theorem on the non-existence of congruences in (E_2^r)(E_4^s)(E_6^t) where r is non-negative and r,s,t are integers.
Comment: 7 pages
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Mathematics - Number Theory, 11F33
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