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A Tribute to Paul Erdos

M. Ajtai, J. Komols, E. Szemeredi, N. Alon, D. J. Kleitman, J. E. Baumgartner, J. Beck, B. Bollobas, T. I. Fenner, A. M. Frieze, B. Bollobas, R. Haggkvist, J. Bourgain, J. Dixmier, J, L. Nicolas, A. Dow, R. Durret, H. Kesten, P. D. T. A. Elliott, M. Foreman, F. Galvin, K. Gyory, A. Hajnal, Z. Nagy, L. Soukup, R. R. Hall, W. K. Hayman, R. Heath-Brown, T. Jech, I. Juhasz, K. Kunen, P. Komjath, A. Mate, P. Nevai, E. C. Milner, S. Shelah, H. L. Montgomery, R. C. Vaughan, Z. Nagy, Z. Szentmiklossy, P. Revesz, A. Schinzel, W. Schmidt, S. Shelah, T. N. Shorey, R. Tijdeman, J. Spencer, J. Szabodos, A. K. Varma, G. Tenenbaum, P. Vertesi, W. Weiss
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  • Date Published: June 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521067331

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  • This volume is dedicated to Paul Erdos, who profoundly influenced mathematics in the twentieth century, with over 1200 papers in number theory, complex analysis, probability theory, geometry, interpretation theory, algebra set theory and combinatorics. One of Erdos' hallmarks was the host of stimulating problems and conjectures, to many of which he attached monetary prices, in accordance with their notoriety. A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'! Eminent mathematicians from around the world have contributed articles to this volume that reflect the diversity of Erdos' interests, and it will be a fund of insight for number theorists, combinatorialists, set theorists and analysts.

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    Product details

    • Date Published: June 2008
    • format: Paperback
    • isbn: 9780521067331
    • length: 500 pages
    • dimensions: 234 x 156 x 26 mm
    • weight: 0.69kg
    • availability: Available
  • Table of Contents

    Frontispiece
    List of contributors
    Preface
    1. Generating expanders from two permutations M. Ajtai, J. Komols and E. Szemeredi
    2. Sum-free subsets N. Alon and D. J. Kleitman
    3. Is there a different proof of the Erdos-Rado theorem? J. E. Baumgartner
    4. Almost collinear triples among N points on the plane J. Beck
    5. Hamilton cycles in random graphs of minimal degree at least |k| B. Bollobas, T. I. Fenner and A. M. Frieze
    6. The circumference of a graph with a given minimal degree B. Bollobas and R. Haggkvist
    7. On arithmetic progressions in sums of sets of integers J. Bourgain
    8. Partitions sans petits sommants J. Dixmier and J. L. Nicolas
    9. A compact sequential space A. Dow
    10. The critical parameter for connectedness of some random graphs R. Durret and H. Kesten
    11. Multiplicative functions on arithmetic progressions: the large moduli P. D. T. A. Elliott
    12. Locally finite groups of permutations of N acting on loo M. Foreman
    13. Hypergraphs games and the chromatic number F. Galvin
    14. On arithmetic graphs associated with integral domains K. Gyory
    15. On the number of certain subgraphs of graphs without large cliques and independent subsets A. Hajnal, Z. Nagy and L. Soukup
    16. Sets of multiples and Behrend sequences R. R. Hall
    17. A functional equation arising from the mortality tables W. K. Hayman
    18. The differences between consecutives primes, IV R. Heath-Brown
    19. On the cofinality of countable products of cardinal numbers T. Jech
    On a-centered posets I. Juhasz and K. Kunen
    20. A Galvin-Hajnal conjecture on uncountably chromatic graphs P. Komjath
    21. Necessary conditions for mean convergence of Hermite-Fejer interpolation A. Mate and P. Nevai
    22. Graphs with no unfriendly partitions E. C. Milner and S. Shelah
    23. On the Erdos-Fuchs theorem H. L. Montgomery and R. C. Vaughan
    24. A tournament which is not finitely representable Z. Nagy and Z. Szentmiklossy
    25. On the volume of spheres covered by a random walk P. Revesz
    26. Special Lucas sequences, including the Fibonacci sequence, modulo a prime A. Schinzel
    27. A remark on heights of subspaces W. Schmidt and S. Shelah
    28. On the greatest prime factor of an arithmetical progression T. N. Shorey and R. Tijdeman
    29. The probabilistic lens: Sperner, Turan and Bergman revisited J. Spencer
    30. On the mean convergence of derivatives of Lagrange interpolation J. Szabodos and A. K. Varma
    31. Sur une question d'Erdos et Schinzel G. Tenenbaum
    32. Some recent results on interpolation P. Vertesi
    33. Partitioning the quadruples of topological spaces W. Weiss
    Selected problems.

  • Editors

    A. Baker, Trinity College, Cambridge

    B. Bollobás, Trinity College, Cambridge

    A. Hajnal

    Contributors

    M. Ajtai, J. Komols, E. Szemeredi, N. Alon, D. J. Kleitman, J. E. Baumgartner, J. Beck, B. Bollobas, T. I. Fenner, A. M. Frieze, B. Bollobas, R. Haggkvist, J. Bourgain, J. Dixmier, J, L. Nicolas, A. Dow, R. Durret, H. Kesten, P. D. T. A. Elliott, M. Foreman, F. Galvin, K. Gyory, A. Hajnal, Z. Nagy, L. Soukup, R. R. Hall, W. K. Hayman, R. Heath-Brown, T. Jech, I. Juhasz, K. Kunen, P. Komjath, A. Mate, P. Nevai, E. C. Milner, S. Shelah, H. L. Montgomery, R. C. Vaughan, Z. Nagy, Z. Szentmiklossy, P. Revesz, A. Schinzel, W. Schmidt, S. Shelah, T. N. Shorey, R. Tijdeman, J. Spencer, J. Szabodos, A. K. Varma, G. Tenenbaum, P. Vertesi, W. Weiss

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