4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2006
Class Numbers of Orders in Quartic Fields
Anton Deitmar, Mark Pavey
We prove an asymptotic formula for class numbers of totlally imaginary quartic number fields, ie for number fields of degree 4 over Q with only complex embeddings. After previous w…
math.DG2006
A prime geodesic theorem for SL(4)
Anton Deitmar, Mark Pavey
A prime geodesic theorem is proven for singular geodesics in quotients of SL(4). This is a case where regularity assumptions of previous papers fail. As a consequence, the analysis…
math.NT2006★ 4 cited
Class Numbers of Orders in Quartic Fields
Mark Pavey
It is shown that the sum of class numbers of orders in totally complex quartic fields with no real quadratic subfield obeys an asymptotic law similar to the prime numbers, as the b…