Contents of Volume 143, Number 4

All articles in this issue are freely accessible.

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The distribution of points on superelliptic curves over finite fields

GilYoung Cheong, Melanie Matchett Wood and Azeem Zaman.
Proc. Amer. Math. Soc. 143 (2015), 1365-1375
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MathSciNet review: 3314052

The lift invariant distinguishes components of Hurwitz spaces for $A_5$

Adam James, Kay Magaard and Sergey Shpectorov.
Proc. Amer. Math. Soc. 143 (2015), 1377-1390
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MathSciNet review: 3314053

On the parity of the Fourier coefficients of $j$-function

M. Ram Murty and R. Thangadurai.
Proc. Amer. Math. Soc. 143 (2015), 1391-1395
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MathSciNet review: 3314054

Complex Hermite polynomials: Their combinatorics and integral operators

Mourad E. H. Ismail and Plamen Simeonov.
Proc. Amer. Math. Soc. 143 (2015), 1397-1410
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MathSciNet review: 3314055

An application of Macaulay’s estimate to sums of squares problems in several complex variables

Dusty Grundmeier and Jennifer Halfpap Kacmarcik.
Proc. Amer. Math. Soc. 143 (2015), 1411-1422
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MathSciNet review: 3314056

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Ji-Wei He, Fred Van Oystaeyen and Yinhuo Zhang.
Proc. Amer. Math. Soc. 143 (2015), 1423-1434
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MathSciNet review: 3314057

A cohomological criterion for splitting of vector bundles on multiprojective space

Chikashi Miyazaki.
Proc. Amer. Math. Soc. 143 (2015), 1435-1440
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MathSciNet review: 3314058

On the product of small Elkies primes

Igor E. Shparlinski.
Proc. Amer. Math. Soc. 143 (2015), 1441-1448
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Small spectral radius and percolation constants on non-amenable Cayley graphs

Kate Juschenko and Tatiana Nagnibeda.
Proc. Amer. Math. Soc. 143 (2015), 1449-1458
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MathSciNet review: 3314060

Metacommutation of Hurwitz primes

Henry Cohn and Abhinav Kumar.
Proc. Amer. Math. Soc. 143 (2015), 1459-1469
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MathSciNet review: 3314061

On three theorems of Folsom, Ono and Rhoades

Wadim Zudilin.
Proc. Amer. Math. Soc. 143 (2015), 1471-1476
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MathSciNet review: 3314062

A Lévy-Khinchin formula for free groups

Uffe Haagerup and Søren Knudby.
Proc. Amer. Math. Soc. 143 (2015), 1477-1489
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MathSciNet review: 3314063

Algebraic independence of local conjugacies and related questions in polynomial dynamics

Khoa D. Nguyen.
Proc. Amer. Math. Soc. 143 (2015), 1491-1499
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MathSciNet review: 3314064

Local $\mathbf {L}^{1}$ estimates for elliptic systems of complex vector fields

J. Hounie and T. Picon.
Proc. Amer. Math. Soc. 143 (2015), 1501-1514
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MathSciNet review: 3314065

On analytic continuability of the missing Cauchy datum for Helmholtz boundary problems

Mirza Karamehmedović.
Proc. Amer. Math. Soc. 143 (2015), 1515-1530
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MathSciNet review: 3314066

Earthquakes in the length-spectrum Teichmüller spaces

Dragomir Šarić.
Proc. Amer. Math. Soc. 143 (2015), 1531-1543
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MathSciNet review: 3314067

On topological entropy: When positivity implies +infinity

Sergiǐ Kolyada and Julia Semikina.
Proc. Amer. Math. Soc. 143 (2015), 1545-1558
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MathSciNet review: 3314068

The cluster value problem in spaces of continuous functions

W. B. Johnson and S. Ortega Castillo.
Proc. Amer. Math. Soc. 143 (2015), 1559-1568
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MathSciNet review: 3314069

A generalization of the Forelli-Rudin construction and deflation identities

Atsushi Yamamori.
Proc. Amer. Math. Soc. 143 (2015), 1569-1581
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MathSciNet review: 3314070

Rectangular orbits of the curved 4-body problem

Florin Diacu and Brendan Thorn.
Proc. Amer. Math. Soc. 143 (2015), 1583-1593
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MathSciNet review: 3314071

$L^p$-nondegenerate Radon-like operators with vanishing rotational curvature

Philip T. Gressman.
Proc. Amer. Math. Soc. 143 (2015), 1595-1604
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MathSciNet review: 3314072

On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations

Nam Q. Le and Ovidiu Savin.
Proc. Amer. Math. Soc. 143 (2015), 1605-1615
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MathSciNet review: 3314073

On the definition of the cone spectral radius

Gustaf Gripenberg.
Proc. Amer. Math. Soc. 143 (2015), 1617-1625
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MathSciNet review: 3314074

Embedding univalent functions in filtering Loewner chains in higher dimension

Leandro Arosio, Filippo Bracci and Erlend Fornæss Wold.
Proc. Amer. Math. Soc. 143 (2015), 1627-1634
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MathSciNet review: 3314075

Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions II

Fritz Gesztesy, Marius Mitrea, Roger Nichols and El Maati Ouhabaz.
Proc. Amer. Math. Soc. 143 (2015), 1635-1649
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MathSciNet review: 3314076

Angle geometry in the universal Teichmüller space

Jinhua Fan and Yunping Jiang.
Proc. Amer. Math. Soc. 143 (2015), 1651-1659
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MathSciNet review: 3314077

Unique continuation for fractional Schrödinger operators in three and higher dimensions

Ihyeok Seo.
Proc. Amer. Math. Soc. 143 (2015), 1661-1664
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MathSciNet review: 3314078

The weak bounded approximation property of pairs

Dongyang Chen, Ju Myung Kim and Bentuo Zheng.
Proc. Amer. Math. Soc. 143 (2015), 1665-1673
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MathSciNet review: 3314079

A counterexample to a theorem of Bremermann on Shilov boundaries

Marek Jarnicki and Peter Pflug.
Proc. Amer. Math. Soc. 143 (2015), 1675-1677
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MathSciNet review: 3314080

Distance sets of two subsets of vector spaces over finite fields

Doowon Koh and Hae-Sang Sun.
Proc. Amer. Math. Soc. 143 (2015), 1679-1692
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MathSciNet review: 3314081

A note on Santaló inequality for the polarity transform and its reverse

Shiri Artstein-Avidan and Boaz A. Slomka.
Proc. Amer. Math. Soc. 143 (2015), 1693-1704
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MathSciNet review: 3314082

Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies

Jaegil Kim and Artem Zvavitch.
Proc. Amer. Math. Soc. 143 (2015), 1705-1717
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MathSciNet review: 3314083

Gap phenomena for a class of fourth-order geometric differential operators on surfaces with boundary

Glen Wheeler.
Proc. Amer. Math. Soc. 143 (2015), 1719-1737
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MathSciNet review: 3314084

SO(2)-congruent projections of convex bodies with rotation about the origin

Benjamin Mackey.
Proc. Amer. Math. Soc. 143 (2015), 1739-1744
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MathSciNet review: 3314085

On the concept of analytic hardness

Janusz Pawlikowski.
Proc. Amer. Math. Soc. 143 (2015), 1745-1747
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MathSciNet review: 3314086

Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem

Mauro Di Nasso.
Proc. Amer. Math. Soc. 143 (2015), 1749-1761
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MathSciNet review: 3314087

A choice function on countable sets, from determinacy

Paul B. Larson.
Proc. Amer. Math. Soc. 143 (2015), 1763-1770
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MathSciNet review: 3314088

Forcing with copies of countable ordinals

Miloš S. Kurilić.
Proc. Amer. Math. Soc. 143 (2015), 1771-1784
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MathSciNet review: 3314089

On Bobkov’s approximate de Finetti representation via approximation of permanents of complex rectangular matrices

Bero Roos.
Proc. Amer. Math. Soc. 143 (2015), 1785-1796
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MathSciNet review: 3314090

A class of torus manifolds with nonconvex orbit space

Mainak Poddar and Soumen Sarkar.
Proc. Amer. Math. Soc. 143 (2015), 1797-1811
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MathSciNet review: 3314091

Positive knots and Lagrangian fillability

Kyle Hayden and Joshua M. Sabloff.
Proc. Amer. Math. Soc. 143 (2015), 1813-1821
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MathSciNet review: 3314092

Minimally almost periodic group topologies on countably infinite Abelian groups

S. S. Gabriyelyan.
Proc. Amer. Math. Soc. 143 (2015), 1823-1829
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MathSciNet review: 3314093