## Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics.

The vanishing of Ramanujan’s function $\tau(n)$Volume 14, Number 2 (1947)
On the zeros of $\zeta'(s)$ near the critical lineVolume 110, Number 3 (2001)
The complex volume of $\operatorname {SL}(n,\mathbb{C})$ -representations of 3-manifoldsVolume 164, Number 11 (2015)
The special values of the zeta functions associated with Hilbert modular formsVolume 45, Number 3 (1978)
Sous-groupes distingués et quotients des groupes hyperboliquesVolume 83, Number 3 (1996)
• ISSN: 0012-7094 (print), 1547-7398 (electronic)
• Publisher: Duke University Press
• Discipline(s): Mathematics
• Full text available in Euclid: 1935--
• Access: By subscription only
• Euclid URL: http://projecteuclid.org/dmj

### Featured Bibliometrics

MR Citation Database MCQ (2014): 1.99
JCR (2014) Impact Factor: 1.578
JCR (2014) Five-year Impact Factor: 2.009
JCR (2014) Ranking: 18/310 (Mathematics)
Eigenfactor: Duke Mathematical Journal

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### Featured article

#### Cheeger constants and $L^{2}$-Betti numbers

Volume 164, Number 3
##### Abstract

We prove the existence of positive lower bounds on the Cheeger constants of manifolds of the form $X/\Gamma$ where $X$ is a contractible Riemannian manifold and $\Gamma\lt \operatorname{Isom}(X)$ is a discrete subgroup, typically with infinite covolume.