## 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. Advance publication of articles online is available.

Learn about DMJ's founding and visit DMJ By the Numbers for key facts about this flagship journal.

## Top downloads over the last seven days

On a question of Erdős and MoserVolume 129, Number 1 (2005)
Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfacesVolume 92, Number 3 (1998)
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb{T}^3)$Volume 159, Number 2 (2011)
Isomonodromy deformations at an irregular singularity with coalescing eigenvaluesVolume 168, Number 6 (2019)
Twisted moments of $L$ -functions and spectral reciprocityVolume 168, Number 6 (2019)
• 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: https://projecteuclid.org/dmj

### Featured bibliometrics

MR Citation Database MCQ (2017): 2.45
JCR (2017) Impact Factor: 2.317
JCR (2017) Five-year Impact Factor: 2.539
JCR (2017) Ranking: 10/309 (Mathematics)
Article Influence (2017): 4.452
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2017): 6.155

Indexed/Abstracted in: Current Contents: Physical, Chemical & Earth Sciences, IBZ Online, Magazines for Libraries, MathSciNet, Science Citation Index, Science Citation Index Expanded, Scopus, and zbMATH

### Featured article

#### On the polynomial Szemerédi theorem in finite fields

Volume 168, Number 5 (2019)
##### Abstract

Let $P_{1},\dots,P_{m}\in\mathbb{Z}[y]$ be any linearly independent polynomials with zero constant term. We show that there exists $\gamma\gt 0$ such that any subset of $\mathbb{F}_{q}$ of size at least $q^{1-\gamma}$ contains a nontrivial polynomial progression $x,x+P_{1}(y),\dots,x+P_{m}(y)$, provided that the characteristic of $\mathbb{F}_{q}$ is large enough.

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