Average distribution of prime ideals in families of number fields

@inproceedings{Shparlinski2007AverageDO,
  title={Average distribution of prime ideals in families of number fields},
  author={Igor E. Shparlinski and Jos{\'e} Felipe Voloch},
  year={2007}
}
We view an algebraic curve over Q as providing a one-parameter family of number fields and obtain bounds for the average value of some standard prime ideal counting functions over these families which are better than averaging the standard estimates for these functions. 2000 Mathematics Subject Classification: 11R44