An application of Mumford’s gap principle

نویسندگان

  • Jung-Jo Lee
  • Ram Murty
  • A. Granville
چکیده

We study a Dirichlet series attached to a polynomial first defined by Rubin and Silverberg in their study of ranks of quadratic twists of a fixed elliptic curve. We apply Mumford’s gap principle to show that the series converges if the associated polynomial has distinct roots and degree at least 5. r 2003 Elsevier Inc. All rights reserved.

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تاریخ انتشار 2003