Average distribution of prime ideals in families of number fields

Igor E. Shparlinski; José Felipe Voloch

doi:10.1007/s00574-008-0014-4

Average distribution of prime ideals in families of number fields

Igor E. Shparlinski, José Felipe Voloch

School of Computing

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	417-425
Number of pages	9
Journal	Bulletin of the Brazilian Mathematical Society
Volume	39
Issue number	3
DOIs	https://doi.org/10.1007/s00574-008-0014-4
Publication status	Published - Sept 2008

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abstract = "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.",

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Average distribution of prime ideals in families of number fields

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