NOTES AND PAPERS
GENERALIZED NONABELIAN RECIPROCITY LAWS: A CONTEXT FOR WILES' PROOF

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UN CRITÈRE DE LA DÉRIVÉE CINQUIÈME POUR LES SOMMES D'EXPONENTIELLES

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LINEAR BOUNDS FOR THE DEGREE OF SUBGROUP GROWTH IN TERMS OF THE HIRSCH LENGTH

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BRANCHING RULES FOR MODULAR FUNDAMENTAL REPRESENTATIONS OF SYMPLECTIC GROUPS

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NONSINGULAR SEMIPERFECT CSRINGS II

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WILD SPECTRAL BEHAVIOUR OF ANHARMONIC OSCILLATORS

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ON UNIFORMLY PERFECT BOUNDARIES OF STABLE DOMAINS IN ITERATION OF MEROMORPHIC FUNCTIONS

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FUNK–HECKE FORMULA FOR ORTHOGONAL POLYNOMIALS ON SPHERES AND ON BALLS

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ON THE RANGE OF UNIVERSAL FUNCTIONS

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C*ALGEBRAS CHARACTERIZED BY ERGODIC ACTIONS OF THE nTORUS

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WEAK LAWS OF LARGE NUMBERS IN SOME NONCOMMUTATIVE SPACES

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HEAT KERNEL ESTIMATES ON WEIGHTED GRAPHS

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OBITUARY
PHILIP HOLGATE (1934–1993)

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BOOK REVIEWS
MORITA EQUIVALENCE AND CONTINUOUSTRACE C*ALGEBRAS (Mathematical Surveys and Monographs 60) By IAIN RAEBURN and DANA P. WILLIAMS: 327 pp., US$65.00, ISBN 0 8218 0860 5 (American Mathematical Society, 1998).

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THE REAL FATOU CONJECTURE (Annals of Mathematics Studies 144) By JACEK GRACZYK and GRZEGORZ ŚWIA¸TEK: 148 pp., £18.95, ISBN 0 691 00258 4 (Princeton University Press, 1998).

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A MATHEMATICAL INTRODUCTION TO STRING THEORY: VARIATIONAL PROBLEMS, GEOMETRIC AND PROBABILISTIC METHODS (London Mathematical Society Lecture Note Series 225) By SERGIO ALBEVERIO, JÜRGEN JOST, SYLVIE PAYCHA and SERGIO SCARLATTI: 135 pp., £22.95 (LMS Members' price £17.20), ISBN 0 521 55610 4 (Cambridge University Press, 1997).

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GEOMETRY OF NONPOSITIVELY CURVED MANIFOLDS (Chicago Lectures in Mathematics) By PATRICK B. EBERLEIN: 449 pp., US$45.00 (£35.95), ISBN 0 226 18198 7 (University of Chicago Press, 1996). NONPOSITIVE CURVATURE: GEOMETRIC AND ANALYTIC ASPECTS (Lecture in Mathematics ETH Zürich) By JÜRGEN JOST: 108 pp., DM.38.–, ISBN 3 7643 5736 3 (Birkhäuser, 1997).

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COMPLETELY REGULAR SEMIGROUPS (Canadian Mathematical Society Series of Monographs and Advanced Texts 23) By MARIO PETRICH and NORMAN R. REILLY: 481 pp., £74.50, ISBN 0 471 19571 5 (John Wiley & Sons, 1999). INVERSE SEMIGROUPS: THE THEORY OF PARTIAL SYMMETRIES By MARK V. LAWSON: 411 pp., £40.00, ISBN 981 02 3316 7 (World Scientific, 1998). GROUPOIDS, INVERSE SEMIGROUPS, AND THEIR OPERATOR ALGEBRAS (Progress in Mathematics 170) By ALAN L. T. PATERSON: 274 pp., CHF98.00, ISBN 0 8176 4051 7 (Birkhäuser, 1999).

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MODEL CATEGORIES (Mathematical Surveys and Monographs 63) By MARK HOVEY: 207 pp., US$54.00, ISBN 0 8218 1359 5 (American Mathematical Society, 1998).

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RANDOM DYNAMICAL SYSTEMS (Springer Monographs in Mathematics) By LUDWIG ARNOLD: 586 pp., £57.50, ISBN 3 540 63758 3 (Springer, 1998). STOCHASTIC DYNAMICS Edited by HANS CRAUEL and MATTHIAS GUNDLACH: 440 pp., £49.50, ISBN 0 387 98512 3 (Springer, 1999).

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