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 137, Number 4
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Gröbnerian Dickson polynomials: Müfi̇t Sezer and Özgün Ünlü; Proc. Amer. Math. Soc. 137 (2009), 1169-1173; DOI: https://doi.org/10.1090/S0002-9939-08-09758-X; Published electronically: November 17, 2008; PDF

A family of local rings with rational Poincaré series: Juan Elias and Giuseppe Valla; Proc. Amer. Math. Soc. 137 (2009), 1175-1178; DOI: https://doi.org/10.1090/S0002-9939-08-09736-0; Published electronically: November 4, 2008; PDF

Congruence properties of Hermitian modular forms: Toshiyuki Kikuta and Shoyu Nagaoka; Proc. Amer. Math. Soc. 137 (2009), 1179-1184; DOI: https://doi.org/10.1090/S0002-9939-08-09646-9; Published electronically: September 25, 2008; PDF

Integers represented as the sum of one prime, two squares of primes and powers of $2$: Guangshi Lü and Haiwei Sun; Proc. Amer. Math. Soc. 137 (2009), 1185-1191; DOI: https://doi.org/10.1090/S0002-9939-08-09603-2; Published electronically: September 26, 2008; PDF

Galois scaffolding in one-dimensional elementary abelian extensions: G. Griffith Elder; Proc. Amer. Math. Soc. 137 (2009), 1193-1203; DOI: https://doi.org/10.1090/S0002-9939-08-09710-4; Published electronically: October 16, 2008; PDF

Vanishing of modular forms at infinity: Scott Ahlgren, Nadia Masri and Jeremy Rouse; Proc. Amer. Math. Soc. 137 (2009), 1205-1214; DOI: https://doi.org/10.1090/S0002-9939-08-09768-2; Published electronically: November 21, 2008; PDF

Pfister’s theorem for orthogonal involutions of degree 12: Skip Garibaldi and Anne Quéguiner-Mathieu; Proc. Amer. Math. Soc. 137 (2009), 1215-1222; DOI: https://doi.org/10.1090/S0002-9939-08-09674-3; Published electronically: October 2, 2008; PDF

Producing set-theoretic complete intersection monomial curves in $\mathbb {P}^n$: Mesut Şahi̇n; Proc. Amer. Math. Soc. 137 (2009), 1223-1233; DOI: https://doi.org/10.1090/S0002-9939-08-09653-6; Published electronically: October 16, 2008; PDF

Set-theoretic Hida projectors: Avner Ash; Proc. Amer. Math. Soc. 137 (2009), 1235-1237; DOI: https://doi.org/10.1090/S0002-9939-08-09616-0; Published electronically: October 1, 2008; PDF

On genus change in algebraic curves over imperfect fields: Stefan Schröer; Proc. Amer. Math. Soc. 137 (2009), 1239-1243; DOI: https://doi.org/10.1090/S0002-9939-08-09712-8; Published electronically: October 9, 2008; PDF

Group gradings on simple Lie algebras in positive characteristic: Yuri Bahturin, Mikhail Kochetov and Susan Montgomery; Proc. Amer. Math. Soc. 137 (2009), 1245-1254; DOI: https://doi.org/10.1090/S0002-9939-08-09634-2; Published electronically: October 20, 2008; PDF

A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers: Makoto Nagura, Shin-ichi Otani and Daisuke Takeda; Proc. Amer. Math. Soc. 137 (2009), 1255-1264; DOI: https://doi.org/10.1090/S0002-9939-08-09700-1; Published electronically: October 22, 2008; PDF

Relative Brauer groups in characteristic $p$: Roberto Aravire and Bill Jacob; Proc. Amer. Math. Soc. 137 (2009), 1265-1273; DOI: https://doi.org/10.1090/S0002-9939-08-09746-3; Published electronically: November 13, 2008; PDF

An algebraic independence result for Euler products of finite degree: Alexandru Zaharescu and Mohammad Zaki; Proc. Amer. Math. Soc. 137 (2009), 1275-1283; DOI: https://doi.org/10.1090/S0002-9939-08-09622-6; Published electronically: October 9, 2008; PDF

The group ring of $\mathbb {Q}/\mathbb {Z}$ and an application of a divisor problem: Alan K. Haynes and Kosuke Homma; Proc. Amer. Math. Soc. 137 (2009), 1285-1293; DOI: https://doi.org/10.1090/S0002-9939-08-09624-X; Published electronically: October 21, 2008; PDF

Powers of Coxeter elements in infinite groups are reduced: David E. Speyer; Proc. Amer. Math. Soc. 137 (2009), 1295-1302; DOI: https://doi.org/10.1090/S0002-9939-08-09638-X; Published electronically: October 29, 2008; PDF

Transcendence of power series for some number theoretic functions: Peter Borwein and Michael Coons; Proc. Amer. Math. Soc. 137 (2009), 1303-1305; DOI: https://doi.org/10.1090/S0002-9939-08-09737-2; Published electronically: October 28, 2008; PDF

Admissible local systems for a class of line arrangements: Shaheen Nazir and Zahid Raza; Proc. Amer. Math. Soc. 137 (2009), 1307-1313; DOI: https://doi.org/10.1090/S0002-9939-08-09661-5; Published electronically: November 6, 2008; PDF

On endomorphism rings and dimensions of local cohomology modules: Peter Schenzel; Proc. Amer. Math. Soc. 137 (2009), 1315-1322; DOI: https://doi.org/10.1090/S0002-9939-08-09676-7; Published electronically: November 12, 2008; PDF

Irreducible representations of groupoid $C^*$-algebras: Marius Ionescu and Dana P. Williams; Proc. Amer. Math. Soc. 137 (2009), 1323-1332; DOI: https://doi.org/10.1090/S0002-9939-08-09782-7; Published electronically: December 4, 2008; PDF

On the classification of solutions of $-\Delta u= e^u$ on $\mathbb {R}^N$: Stability outside a compact set and applications: E. N. Dancer and Alberto Farina; Proc. Amer. Math. Soc. 137 (2009), 1333-1338; DOI: https://doi.org/10.1090/S0002-9939-08-09772-4; Published electronically: December 4, 2008; PDF

On the localization principle for the automorphisms of pseudoellipsoids: Mario Landucci and Andrea Spiro; Proc. Amer. Math. Soc. 137 (2009), 1339-1345; DOI: https://doi.org/10.1090/S0002-9939-08-09726-8; Published electronically: December 3, 2008; PDF

Linearly approximatable functions: Thierry De Pauw and Amos Koeller; Proc. Amer. Math. Soc. 137 (2009), 1347-1356; DOI: https://doi.org/10.1090/S0002-9939-08-09667-6; Published electronically: October 6, 2008; PDF

Invariant subspaces of super left-commutants: Hailegebriel E. Gessesse; Proc. Amer. Math. Soc. 137 (2009), 1357-1361; DOI: https://doi.org/10.1090/S0002-9939-08-09673-1; Published electronically: October 6, 2008; PDF

Convergence of weighted polynomial multiple ergodic averages: Qing Chu; Proc. Amer. Math. Soc. 137 (2009), 1363-1369; DOI: https://doi.org/10.1090/S0002-9939-08-09614-7; Published electronically: October 16, 2008; PDF

A short proof of Pitt’s compactness theorem: Sylvain Delpech; Proc. Amer. Math. Soc. 137 (2009), 1371-1372; DOI: https://doi.org/10.1090/S0002-9939-08-09617-2; Published electronically: October 17, 2008; PDF

Smoothness of radial solutions to Monge-Ampère equations: Cristian Rios and Eric T. Sawyer; Proc. Amer. Math. Soc. 137 (2009), 1373-1379; DOI: https://doi.org/10.1090/S0002-9939-08-09694-9; Published electronically: November 5, 2008; PDF

Linear isometries between spaces of vector-valued Lipschitz functions: A. Jiménez-Vargas and Moisés Villegas-Vallecillos; Proc. Amer. Math. Soc. 137 (2009), 1381-1388; DOI: https://doi.org/10.1090/S0002-9939-08-09733-5; Published electronically: October 20, 2008; PDF

Piecewise contractions are asymptotically periodic: Henk Bruin and Jonathan H. B. Deane; Proc. Amer. Math. Soc. 137 (2009), 1389-1395; DOI: https://doi.org/10.1090/S0002-9939-08-09633-0; Published electronically: July 31, 2008; PDF

Multiples of hypercyclic operators: Catalin Badea, Sophie Grivaux and Vladimir Müller; Proc. Amer. Math. Soc. 137 (2009), 1397-1403; DOI: https://doi.org/10.1090/S0002-9939-08-09696-2; Published electronically: October 27, 2008; PDF

Totally free arrangements of hyperplanes: Takuro Abe, Hiroaki Terao and Masahiko Yoshinaga; Proc. Amer. Math. Soc. 137 (2009), 1405-1410; DOI: https://doi.org/10.1090/S0002-9939-08-09755-4; Published electronically: November 5, 2008; PDF

Hyperbolic dimension and radial Julia sets of transcendental functions: Lasse Rempe; Proc. Amer. Math. Soc. 137 (2009), 1411-1420; DOI: https://doi.org/10.1090/S0002-9939-08-09650-0; Published electronically: November 3, 2008; PDF

On the topology of pointwise convergence on the boundaries of $L_1$-preduals: Warren B. Moors and Jiří Spurný; Proc. Amer. Math. Soc. 137 (2009), 1421-1429; DOI: https://doi.org/10.1090/S0002-9939-08-09708-6; Published electronically: October 29, 2008; PDF

Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps: Viviane Baladi and Daniel Smania; Proc. Amer. Math. Soc. 137 (2009), 1431-1437; DOI: https://doi.org/10.1090/S0002-9939-08-09651-2; Published electronically: October 27, 2008; PDF

Affine interval exchange transformations with flips and wandering intervals: C. Gutierrez, S. Lloyd and B. Pires; Proc. Amer. Math. Soc. 137 (2009), 1439-1445; DOI: https://doi.org/10.1090/S0002-9939-08-09718-9; Published electronically: November 3, 2008; PDF

A convexity theorem for the real part of a Borel invariant subvariety: Timothy E. Goldberg; Proc. Amer. Math. Soc. 137 (2009), 1447-1458; DOI: https://doi.org/10.1090/S0002-9939-08-09764-5; Published electronically: November 10, 2008; PDF

Bounded harmonic $1$-forms on complete manifolds: M. Cocos; Proc. Amer. Math. Soc. 137 (2009), 1459-1465; DOI: https://doi.org/10.1090/S0002-9939-08-09645-7; Published electronically: October 29, 2008; PDF

On the discrete heat equation taking values on a tree: Carl Mueller and Kijung Lee; Proc. Amer. Math. Soc. 137 (2009), 1467-1478; DOI: https://doi.org/10.1090/S0002-9939-08-09748-7; Published electronically: November 18, 2008; PDF

A lower bound for the Chung-Diaconis-Graham random process: Martin Hildebrand; Proc. Amer. Math. Soc. 137 (2009), 1479-1487; DOI: https://doi.org/10.1090/S0002-9939-08-09687-1; Published electronically: November 3, 2008; PDF

On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group: Alexander N. Dranishnikov; Proc. Amer. Math. Soc. 137 (2009), 1489-1497; DOI: https://doi.org/10.1090/S0002-9939-08-09770-0; Published electronically: November 25, 2008; PDF

Orbit-counting for nilpotent group shifts: Richard Miles and Thomas Ward; Proc. Amer. Math. Soc. 137 (2009), 1499-1507; DOI: https://doi.org/10.1090/S0002-9939-08-09649-4; Published electronically: October 23, 2008; PDF

The bounding genera and $w$-invariants: Yoshihiro Fukumoto; Proc. Amer. Math. Soc. 137 (2009), 1509-1517; DOI: https://doi.org/10.1090/S0002-9939-08-09744-X; Published electronically: November 3, 2008; PDF

Rational homotopy of gauge groups: Yves Félix and John Oprea; Proc. Amer. Math. Soc. 137 (2009), 1519-1527; DOI: https://doi.org/10.1090/S0002-9939-08-09721-9; Published electronically: November 20, 2008; PDF