Jaclyn Lang

collaborators

2 papers

math.NT2021

A modular construction of unramified $p$ -extensions of $Q (N^{1/ p})$

Jaclyn Lang, Preston Wake

We show that for primes $N, p \geq 5$ with $N \equiv - 1 mod p$ , the class number of $Q (N^{1/ p})$ is divisible by $p$ . Our methods are via congruences between Eisenstein…

math.NT2009

Function Fields with Class Number Indivisible by a Prime $ℓ$

Michael Daub, Jaclyn Lang, Mona Merling +3

It is known that infinitely many number fields and function fields of any degree $m$ have class number divisible by a given integer $n$ . However, significantly less is known about…

A modular construction of unramified p-extensions of Q(N1/p)

Function Fields with Class Number Indivisible by a Prime ℓ

A modular construction of unramified $p$ -extensions of $Q (N^{1/ p})$

Function Fields with Class Number Indivisible by a Prime $ℓ$