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Studies in Pure Mathematics

To the Memory of Paul Turán

  • Editors
  • Paul Erdős
  • László Alpár
  • Gábor Halász
  • András Sárközy

Table of contents

  1. Front Matter
    Pages 1-12
  2. Gábor Halász
    Pages 13-16
  3. H. L. Abbott, A. Meir
    Pages 17-20
  4. M. Ajtai, I. Havas, J. Komlós
    Pages 21-34
  5. R. Askey, Mourad E.-H. Ismail
    Pages 55-78
  6. C. Belna, G. Piranian
    Pages 79-81
  7. B. Bollobás, F. R. K. Chung, R. L. Graham
    Pages 83-90
  8. F. R. K. Chung, P. Erdős, J. Spencer
    Pages 95-101
  9. Á. Császár
    Pages 103-126
  10. J. Dénes, K. H. Kim, F. W. Roush
    Pages 127-134
  11. E. Dobrowolski, W. Lawton, A. Schinzel
    Pages 135-144
  12. Á. Elbert
    Pages 145-156
  13. P. Erdős, A. Sárközy
    Pages 165-179
  14. P. Erdős, V. T. Sós
    Pages 181-185
  15. P. Erdős, M. Szalay
    Pages 187-212
  16. P. Erdős, E. Szemerédi
    Pages 213-218
  17. W. H. J. Fuchs
    Pages 219-229
  18. D. Gaier, B. Kjellberg
    Pages 231-236
  19. W. K. Hayman, B. Kjellberg
    Pages 291-322
  20. E. Heppner, W. Schwarz
    Pages 323-336
  21. K.-H. Indlekofer
    Pages 357-379
  22. H. Jager
    Pages 381-384
  23. J.-P. Kahane, Y. Katznelson
    Pages 395-410
  24. I. Kátai
    Pages 415-421
  25. K. H. Kim, F. W. Roush
    Pages 423-425
  26. G. Kolesnik, E. G. Straus
    Pages 427-442
  27. L. Lovász, M. Simonovits
    Pages 459-495
  28. H. L. Montgomery
    Pages 497-506
  29. P. P. Pálfy, M. Szalay
    Pages 531-542
  30. R. Pierre, Q. I. Rahman
    Pages 543-549
  31. Ch. Pommerenke, N. Purzitsky
    Pages 561-575

About this book

Introduction

This volume, written by his friends, collaborators and students, is offered to the memory of Paul Tunin. Most of the papers they contributed discuss subjects related to his own fields of research. The wide range of topics reflects the versatility of his mathematical activity. His work has inspired many mathematicians in analytic number theory, theory of functions of a complex variable, interpolation and approximation theory, numerical algebra, differential equations, statistical group theory and theory of graphs. Beyond the influence of his deep and important results he had the exceptional ability to communicate to others his enthusiasm for mathematics. One of the strengths of Turan was to ask unusual questions that became starting points of many further results, sometimes opening up new fields of research. We hope that this volume will illustrate this aspect of his work adequately. Born in Budapest, on August 28, 1910, Paul Turan obtained his Ph. D. under L. Fejer in 1935. His love for mathematies enabled him to work even under inhuman circumstances during the darkest years of the Second World War. One of his major achievements, his power sum method originated in this period. After the war he was visiting professor in Denmark and in Princeton. In 1949 he became professor at the Eotvos Lorand University of Budapest, a member of the Hungarian Academy of Sciences and a leading figure of the Hungarian mathematical community.

Keywords

algebra analytic number theory approximation equation functions graphs group group theory interpolation Mathematica memory number theory university variable Volume

Bibliographic information