Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 145, Number 2
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The congruence $ax_1x_2\cdots x_k + bx_{k+1}x_{k+2}\cdots x_{2k} \equiv c \pmod p$: Anwar Ayyad and Todd Cochrane; Proc. Amer. Math. Soc. 145 (2017), 467-477; DOI: https://doi.org/10.1090/proc/13429; Published electronically: October 31, 2016; PDF

Degree of commutativity of infinite groups: Yago Antolín, Armando Martino and Enric Ventura; Proc. Amer. Math. Soc. 145 (2017), 479-485; DOI: https://doi.org/10.1090/proc/13231; Published electronically: July 28, 2016; PDF

Graph connectivity and binomial edge ideals: Arindam Banerjee and Luis Núñez-Betancourt; Proc. Amer. Math. Soc. 145 (2017), 487-499; DOI: https://doi.org/10.1090/proc/13241; Published electronically: August 18, 2016; PDF

Supercongruences and truncated hypergeometric series: Bing He; Proc. Amer. Math. Soc. 145 (2017), 501-508; DOI: https://doi.org/10.1090/proc/13305; Published electronically: August 18, 2016; PDF

The shapes of pure cubic fields: Robert Harron; Proc. Amer. Math. Soc. 145 (2017), 509-524; DOI: https://doi.org/10.1090/proc/13309; Published electronically: August 18, 2016; PDF

Number of solutions of systems of homogeneous polynomial equations over finite fields: Mrinmoy Datta and Sudhir R. Ghorpade; Proc. Amer. Math. Soc. 145 (2017), 525-541; DOI: https://doi.org/10.1090/proc/13239; Published electronically: October 27, 2016; PDF

On a relation between certain $q$-hypergeometric series and Maass waveforms: Matthew Krauel, Larry Rolen and Michael Woodbury; Proc. Amer. Math. Soc. 145 (2017), 543-557; DOI: https://doi.org/10.1090/proc/13246; Published electronically: August 23, 2016; PDF

Relations for Grothendieck groups of Gorenstein rings: Naoya Hiramatsu; Proc. Amer. Math. Soc. 145 (2017), 559-562; DOI: https://doi.org/10.1090/proc/13255; Published electronically: August 5, 2016; PDF

Oscillations of coefficients of Dirichlet series attached to automorphic forms: Jaban Meher and M. Ram Murty; Proc. Amer. Math. Soc. 145 (2017), 563-575; DOI: https://doi.org/10.1090/proc/13264; Published electronically: September 15, 2016; PDF

Birch’s lemma over global function fields: Yi Ouyang and Shenxing Zhang; Proc. Amer. Math. Soc. 145 (2017), 577-584; DOI: https://doi.org/10.1090/proc/13265; Published electronically: October 24, 2016; PDF

The specialization index of a variety over a discretely valued field: Lore Kesteloot and Johannes Nicaise; Proc. Amer. Math. Soc. 145 (2017), 585-599; DOI: https://doi.org/10.1090/proc/13266; Published electronically: August 30, 2016; PDF

Single annulus estimates for the variation-norm Hilbert transforms along Lipschitz vector fields: Shaoming Guo; Proc. Amer. Math. Soc. 145 (2017), 601-615; DOI: https://doi.org/10.1090/proc/13277; Published electronically: October 24, 2016; PDF

On the Radon-Nikodym property in function spaces: Guillermo P. Curbera and Werner J. Ricker; Proc. Amer. Math. Soc. 145 (2017), 617-626; DOI: https://doi.org/10.1090/proc/13414; Published electronically: October 13, 2016; PDF

On hereditary properties of quantum group amenability: Jason Crann; Proc. Amer. Math. Soc. 145 (2017), 627-635; DOI: https://doi.org/10.1090/proc/13365; Published electronically: October 18, 2016; PDF

Potential theoretic approach to Schauder estimates for the fractional Laplacian: Claudia Bucur and Aram L. Karakhanyan; Proc. Amer. Math. Soc. 145 (2017), 637-651; DOI: https://doi.org/10.1090/proc/13227; Published electronically: July 26, 2016; PDF

On sharpness of the local Kato-smoothing property for dispersive wave equations: Shu-Ming Sun, Emmanuel Trélat, Bing-Yu Zhang and Ning Zhong; Proc. Amer. Math. Soc. 145 (2017), 653-664; DOI: https://doi.org/10.1090/proc/13286; Published electronically: August 5, 2016; PDF

On the integrability of the $5$-dimensional Lorenz system for the gravity-wave activity: Jaume Llibre and Clàudia Valls; Proc. Amer. Math. Soc. 145 (2017), 665-679; DOI: https://doi.org/10.1090/proc/13233; Published electronically: July 28, 2016; PDF

A note on the Akemann-Doner and Farah-Wofsey constructions: Tristan Bice and Piotr Koszmider; Proc. Amer. Math. Soc. 145 (2017), 681-687; DOI: https://doi.org/10.1090/proc/13242; Published electronically: August 30, 2016; PDF

Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants: Masahiko Ito and Masatoshi Noumi; Proc. Amer. Math. Soc. 145 (2017), 689-703; DOI: https://doi.org/10.1090/proc/13234; Published electronically: August 5, 2016; PDF

The billiard inside an ellipse deformed by the curvature flow: Josué Damasceno, Mario J. Dias Carneiro and Rafael Ramírez-Ros; Proc. Amer. Math. Soc. 145 (2017), 705-719; DOI: https://doi.org/10.1090/proc/13351; Published electronically: September 29, 2016; PDF

Bratteli diagrams where random orders are imperfect: J. Janssen, A. Quas and R. Yassawi; Proc. Amer. Math. Soc. 145 (2017), 721-735; DOI: https://doi.org/10.1090/proc/13284; Published electronically: October 31, 2016; PDF

Least action nodal solutions for the quadratic Choquard equation: Marco Ghimenti, Vitaly Moroz and Jean Van Schaftingen; Proc. Amer. Math. Soc. 145 (2017), 737-747; DOI: https://doi.org/10.1090/proc/13247; Published electronically: August 17, 2016; PDF

The size and topology of quasi-Fatou components of quasiregular maps: Daniel A. Nicks and David J. Sixsmith; Proc. Amer. Math. Soc. 145 (2017), 749-763; DOI: https://doi.org/10.1090/proc/13253; Published electronically: August 22, 2016; PDF

Instability of equatorial edge waves in the background flow: Lili Fan and Hongjun Gao; Proc. Amer. Math. Soc. 145 (2017), 765-778; DOI: https://doi.org/10.1090/proc/13308; Published electronically: October 20, 2016; PDF

The effect of perturbations of linear operators on their polar decomposition: Richard Duong and Friedrich Philipp; Proc. Amer. Math. Soc. 145 (2017), 779-790; DOI: https://doi.org/10.1090/proc/13252; Published electronically: August 22, 2016; PDF

Starlikeness for functions of a hypercomplex variable: Anna Gori and Fabio Vlacci; Proc. Amer. Math. Soc. 145 (2017), 791-804; DOI: https://doi.org/10.1090/proc/13256; Published electronically: August 23, 2016; PDF

Translation operators on weighted spaces of entire functions: Pham Trong Tien; Proc. Amer. Math. Soc. 145 (2017), 805-815; DOI: https://doi.org/10.1090/proc/13254; Published electronically: August 23, 2016; PDF

Warped cones and spectral gaps: Piotr W. Nowak and Damian Sawicki; Proc. Amer. Math. Soc. 145 (2017), 817-823; DOI: https://doi.org/10.1090/proc/13258; Published electronically: August 23, 2016; PDF

Entropy flux - electrostatic capacity - graphical mass: J. Xiao; Proc. Amer. Math. Soc. 145 (2017), 825-832; DOI: https://doi.org/10.1090/proc/13259; Published electronically: August 5, 2016; PDF

On the generalized Zalcman functional $\lambda a_n^2-a_{2n-1}$ in the close-to-convex family: Liulan Li and Saminathan Ponnusamy; Proc. Amer. Math. Soc. 145 (2017), 833-846; DOI: https://doi.org/10.1090/proc/13260; Published electronically: August 23, 2016; PDF

On Landau-Kolmogorov inequalities for dissipative operators: Masayuki Hayashi and Tohru Ozawa; Proc. Amer. Math. Soc. 145 (2017), 847-852; DOI: https://doi.org/10.1090/proc/13380; Published electronically: October 3, 2016; PDF

A symmetry result for an elliptic problem arising from the 2-D thin film equation: Ka-Luen Cheung and Kai-Seng Chou; Proc. Amer. Math. Soc. 145 (2017), 853-860; DOI: https://doi.org/10.1090/proc/13237; Published electronically: July 28, 2016; PDF

Mean curvature flow of entire graphs evolving away from the heat flow: Gregory Drugan and Xuan Hien Nguyen; Proc. Amer. Math. Soc. 145 (2017), 861-869; DOI: https://doi.org/10.1090/proc/13238; Published electronically: September 15, 2016; PDF

Trees and gaps from a construction scheme: Fulgencio Lopez and Stevo Todorcevic; Proc. Amer. Math. Soc. 145 (2017), 871-879; DOI: https://doi.org/10.1090/proc/13431; Published electronically: November 3, 2016; PDF

On density of old sets in Prikry type extensions: Moti Gitik; Proc. Amer. Math. Soc. 145 (2017), 881-887; DOI: https://doi.org/10.1090/proc/13312; Published electronically: August 23, 2016; PDF

Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications: JungHwan Park; Proc. Amer. Math. Soc. 145 (2017), 889-891; DOI: https://doi.org/10.1090/proc/13306; Published electronically: August 17, 2016; PDF

Continuity of the Jones’ set function $\mathcal {T}$: Javier Camargo and Carlos Uzcátegui; Proc. Amer. Math. Soc. 145 (2017), 893-899; DOI: https://doi.org/10.1090/proc/13379; Published electronically: October 3, 2016; PDF

A short proof of Toruńczyk’s characterization theorems: Jan J. Dijkstra, Michael Levin and Jan van Mill; Proc. Amer. Math. Soc. 145 (2017), 901-914; DOI: https://doi.org/10.1090/proc/13262; Published electronically: September 8, 2016; PDF

On some applications of unstable Adams operations to the topology of Kac-Moody groups: Nitu Kitchloo; Proc. Amer. Math. Soc. 145 (2017), 915-924; DOI: https://doi.org/10.1090/proc/13269; Published electronically: September 15, 2016; PDF