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The effective Chebotarev density theorem and modular forms modulo  |
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| Authors: | Sam Lichtenstein |
| Affiliation: | 286 Adams House Mail Center, Harvard University, Cambridge, Massachusetts 02138 |
| Abstract: | Suppose that  (resp.  ) is a modular form of integral (resp. half-integral) weight with coefficients in the ring of integers  of a number field  . For any ideal  , we bound the first prime  for which  (resp.  ) is zero (  ). Applications include the solution to a question of Ono (2001) concerning partitions. |
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