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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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The Ramsey property implies no mad families
David Schrittesser and Asger Törnquist

PNAS September 17, 2019 116 (38) 18883-18887; first published August 29, 2019. https://doi.org/10.1073/pnas.1906183116
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On the bounded generation of arithmetic SL₂
Bruce W. Jordan and Yevgeny Zaytman

PNAS September 17, 2019 116 (38) 18880-18882; first published September 4, 2019. https://doi.org/10.1073/pnas.1907728116
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Reflective prolate-spheroidal operators and the KP/KdV equations
W. Riley Casper, F. Alberto Grünbaum, Milen Yakimov, and Ignacio Zurrián

PNAS September 10, 2019 116 (37) 18310-18315; first published August 27, 2019. https://doi.org/10.1073/pnas.1906098116
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Characterizing round spheres using half-geodesics
Ian M. Adelstein and Benjamin Schmidt

PNAS July 16, 2019 116 (29) 14501-14504; first published July 1, 2019. https://doi.org/10.1073/pnas.1907226116
Open Access
Jensen polynomials for the Riemann zeta function and other sequences
- From the Cover
- Inaugural Article
Michael Griffin, Ken Ono, Larry Rolen, and Don Zagier

PNAS June 4, 2019 116 (23) 11103-11110; first published May 21, 2019. https://doi.org/10.1073/pnas.1902572116
See companion article:
New progress on the zeta function: From old conjectures to a major breakthrough
- Jun 04, 2019
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Bootstrapping variables in algebraic circuits
- Inaugural Article
Manindra Agrawal, Sumanta Ghosh, and Nitin Saxena

PNAS April 23, 2019 116 (17) 8107-8118; first published April 11, 2019. https://doi.org/10.1073/pnas.1901272116
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Geometry and arithmetic of crystallographic sphere packings
Alex Kontorovich and Kei Nakamura

PNAS January 8, 2019 116 (2) 436-441; first published December 26, 2018. https://doi.org/10.1073/pnas.1721104116
Open Access
Mechanics of mouse blastocyst hatching revealed by a hydrogel-based microdeformation assay
Karolis Leonavicius, Christophe Royer, Chris Preece, Benjamin Davies, John S. Biggins, and Shankar Srinivas

PNAS October 9, 2018 115 (41) 10375-10380; first published September 19, 2018. https://doi.org/10.1073/pnas.1719930115
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Resistance to Plasmodium falciparum in sickle cell trait erythrocytes is driven by oxygen-dependent growth inhibition
Natasha M. Archer, Nicole Petersen, Martha A. Clark, Caroline O. Buckee, Lauren M. Childs, and Manoj T. Duraisingh

PNAS July 10, 2018 115 (28) 7350-7355; first published June 26, 2018. https://doi.org/10.1073/pnas.1804388115

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