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W. Bosma, B. de Smit
On arithmetically equivalent number fields of small degree
Abstract. For each integer n, let Sn be the set of all class number quotients h(K)/h(K') for number fields K and K' of degree n with the same zeta-function. In this note we will give some explicit results on the finite sets Sn, for small n. For example, for every x in Sn with n< 16 either x or x-1 is an integer that is a prime power dividing 2 14 3 6 53.
Document: 2002-09.ps ( 460k)
Report printed: April 2002