most citedDirichlet series associated to quartic fields with given resolvent

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math.NT2013★ 1 cited

Dirichlet series associated to quartic fields with given resolvent

Henri Cohen, Frank Thorne

Let be a cubic field. We give an explicit formula for the Dirichlet series $\sum_K|\Disc(K)|^{-s}$, where the sum is over isomorphism classes of all quartic fields whose cubic…

math.NT2012★ 1 cited

Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems

Frank Thorne

This paper is an expanded version of the author's lecture at the Integers Conference 2011. We discuss the secondary terms in the Davenport-Heilbronn theorems on cubic fields and 3-…