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A surprising formula for Sobolev norms
Haïm Brezis, Jean Van Schaftingen, and Po-Lam Yung

PNAS February 23, 2021 118 (8) e2025254118; https://doi.org/10.1073/pnas.2025254118
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A non-diagonalizable pure state
Piotr Koszmider

PNAS December 29, 2020 117 (52) 33084-33089; first published December 16, 2020. https://doi.org/10.1073/pnas.2011885117
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Stable homotopy groups of spheres
Daniel C. Isaksen, Guozhen Wang, and Zhouli Xu

PNAS October 6, 2020 117 (40) 24757-24763; first published September 21, 2020. https://doi.org/10.1073/pnas.2012335117
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The mysterious story of square ice, piles of cubes, and bijections
Ilse Fischer and Matjaž Konvalinka

PNAS September 22, 2020 117 (38) 23460-23466; first published September 2, 2020. https://doi.org/10.1073/pnas.2005525117
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Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers
Olivia Beckwith, Martin Raum, and Olav K. Richter

PNAS September 8, 2020 117 (36) 21953-21961; first published August 27, 2020. https://doi.org/10.1073/pnas.2005984117
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Opinion: What models can and cannot tell us about COVID-19
- Front Matter
Alexander F. Siegenfeld, Nassim N. Taleb, and Yaneer Bar-Yam

PNAS July 14, 2020 117 (28) 16092-16095; first published June 24, 2020. https://doi.org/10.1073/pnas.2011542117
Open Access
Quantum Fourier analysis
Arthur Jaffe, Chunlan Jiang, Zhengwei Liu, Yunxiang Ren, and Jinsong Wu

PNAS May 19, 2020 117 (20) 10715-10720; first published April 30, 2020. https://doi.org/10.1073/pnas.2002813117
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Higher-rank zeta functions and SL_n-zeta functions for curves
Lin Weng and Don Zagier

PNAS March 24, 2020 117 (12) 6398-6408; first published March 9, 2020. https://doi.org/10.1073/pnas.1912501117
See companion article:
Higher-rank zeta functions for elliptic curves
- Feb 18, 2020
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Higher-rank zeta functions for elliptic curves
Lin Weng and Don Zagier

PNAS March 3, 2020 117 (9) 4546-4558; first published February 18, 2020. https://doi.org/10.1073/pnas.1912023117
See companion article:
Higher-rank zeta functions and SL_n-zeta functions for curves
- Mar 09, 2020
You have access
Interesting identities involving weighted representations of integers as sums of arbitrarily many squares
Min-Joo Jang, Ben Kane, Winfried Kohnen, and Siu Hang Man

PNAS September 24, 2019 116 (39) 19374-19379; first published September 9, 2019. https://doi.org/10.1073/pnas.1906632116

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