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A variant of the Barban-Davenport-Halberstam Theorem by Smith, Ethan is a scholarly article available to read on EtoBox.

What is A variant of the Barban-Davenport-Halberstam Theorem about?

Let $L/K$ be a Galois extension of number fields. The problem of counting the number of prime ideals $\mathfrak p$ of $K$ with fixed Frobenius class in $\mathrm{Gal}(L/K)$ and norm satisfying a congruence condition is considered. We show that the square of the error term arising from the Chebotar\"ev Density Theorem for this problem is small "on average." The result may be viewed as a variation on the classical Barban-Davenport-Halberstam Theorem.

Author

Smith, Ethan

Published

2012

Language

EN