THE EFFECTIVE CHEBOTAREV DENSITY THEOREM AND MODULAR FORMS MODULO m
نویسنده
چکیده
Suppose that f (resp. g) is a modular form of integral (resp. half-integral) weight with coefficients in the ring of integers OK of a number field K. For any ideal m ⊂ OK , we bound the first prime p for which f | Tp (resp. g | Tp2) is zero (mod m). Applications include the solution to a question of Ono [AO] concerning partitions.
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