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09 February 2025
 
  » arxiv » 1109.0224

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Zero repulsion in families of elliptic curve L-functions and an observation of Miller
Simon Marshall ;
Date 1 Sep 2011
AbstractWe provide a theoretical explanation for an observation of S. J. Miller that if L(s,E) is an elliptic curve L-function for which L(1/2, E) is nonzero, then the lowest lying zero of L(s,E) exhibits a repulsion from the critical point which is not explained by the standard Katz-Sarnak heuristics.
Source arXiv, 1109.0224
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