科研之友
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摘要
Suppose that O-L is the ring of integers of a number field L, and suppose that f(z) = Sigma(infinity)(n=1) a(f)(n)q(n) is an element of S-k boolean AND O-L [[q]] (note: q := e(2 pi iz)) is a normalized Hecke eigenform for SL2(Z). We say that f is non-ordinary at a prime p if there is a prime ideal p subset of O-L above p for which a(f) (p) 0 (mod p). For any finite set of primes S, we prove that there are normalized Hecke eigenforms which are non-ordinary for each p is an element of S. The proof is elementary and follows from a generalization of work of Choie, Kohnen and the third author.
- 出版日期2016-11
- 单位山东大学
