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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 32, Number 1
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How many zeros of a random polynomial are real?
Alan Edelman and Eric Kostlan PDF
Bull. Amer. Math. Soc. 32 (1995), 1-37
Müntz spaces and Remez inequalities
Peter Borwein and Tamás Erdélyi PDF
Bull. Amer. Math. Soc. 32 (1995), 38-42
Wiener’s Tauberian theorem in $L_1(G//K)$ and harmonic functions in the unit disk
Y. Ben Natan, Y. Benyamini, H. Hedenmalm and Y. Weit PDF
Bull. Amer. Math. Soc. 32 (1995), 43-49
Topological entropy of generalized polygon exchanges
Eugene Gutkin and Nicolai Haydn PDF
Bull. Amer. Math. Soc. 32 (1995), 50-56
A splitting property for subalgebras of tensor products
Liming Ge PDF
Bull. Amer. Math. Soc. 32 (1995), 57-60
Not all free arrangements are $K(\pi ,1)$
Paul H. Edelman and Victor Reiner PDF
Bull. Amer. Math. Soc. 32 (1995), 61-65
Chaos in the Lorenz equations: a computer-assisted proof
Konstantin Mischaikow and Marian Mrozek PDF
Bull. Amer. Math. Soc. 32 (1995), 66-72
A new series of dense graphs of high girth
F. Lazebnik, V. A. Ustimenko and A. J. Woldar PDF
Bull. Amer. Math. Soc. 32 (1995), 73-79
Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point
Andreas Juhl PDF
Bull. Amer. Math. Soc. 32 (1995), 80-87
Erratum: “A report on Wiles’ Cambridge lectures” [Bull. Amer. Math. Soc. (N.S.) 31 (1994), no. 1, 15–38; MR1256978 (94k:11062)] by K. Rubin and A. Silverberg
K. Rubin and A. Silverberg PDF
Bull. Amer. Math. Soc. 32 (1995), 170

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Commensurabilities among lattices in $\mathrm{PU}(1,n)$, by Pierre Deligne and G. Daniel Mostow.
Reviewer: P. Beazley Cohen and F. Hirzebruch
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 88-105
Banach and locally convex algebras, by A. Ya Helemskii.
Reviewer: C. E. Rickart
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 105-110
Catalan's conjecture, by Paulo Ribenboim.
Reviewer: Alan Baker
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 110-112
Non-classical elastic solids, by M. Ciarletta and D. Iesan.
Reviewer: Brian Straughan
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 112-114
Hilbert's Tenth Problem, by Yuri V. Matiyasevich.
Reviewer: Craig Smoryński
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 114-119
Arithmetic of probability distributions and characterization problems on Abelian groups, by G. M. Fel\cprime dman.
Reviewer: Herbert Heyer
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 120-125
Hopf algebras and their actions on rings, by S. Montgomery.
Reviewer: Mitsuhiro Takeuchi
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 125-127
The computational complexity of differential and integral equations, by \linebreak Arthur G. Werschulz.
Reviewer: George J. Fix
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 127-131
Introduction to functional differential equations, by Jack K. Hale and Sjoerd M. Verduyn Lunel.
Reviewer: Hans-Otto Walther
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 132-136
Realism in mathematics, by Penelope Maddy.
Reviewer: Morris W. Hirsch
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 137-148
Introduction to regularity theory for nonlinear elliptic systems, by Mariano Giaquinta.
Reviewer: Michael Struwe
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 148-150
Composition operators and classical function theory, by Joel H. Shapiro.
Composition operators on function spaces, by R. K. Singh and J. S. Manhas.
Reviewer: Peter Rosenthal
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 150-153
Harmonic maps and minimal immersions with symmetries, by James Eells and Andrea Ratto.
Reviewer: Franz Pedit
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 153-155
Invariant distances and metrics in complex analysis, by Marek Jarnicki and Peter Pflug.
Reviewer: László Lempert
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 155-158
Floquet theory for partial differential equations, by Peter Kuchment.
Reviewer: Evans M. Harrell II
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 158-162
Duality and perturbation methods in critical point theory, by Nassif Ghoussoub.
Reviewer: T. Bartsch
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 162-166
Nonlinear parabolic and elliptic equations, by C. V. Pao.
Reviewer: Jerrold Bebernes
Review information PDF
Bull. Amer. Math. Soc. 32 (1995), 166-169