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Journées Arithmétiques 1980

$88.95 (C)

Part of London Mathematical Society Lecture Note Series

D. Bertrand, G. V. Chudnovsky, D. R. Heath-Brown, C. Hooley, H. W. Lenstra Jnr, Jaques Martinet, Leon R. McCulloh, W. Narkiewicz, A. Schinzel, M. J. Taylor, R. C. Baker, W. W. L. Chen, C. F. Coray, Eugene Dubois, J. Elstroot, F. Grunewald, J. Mennicke, H. Faure, Georges Gras, George P. Grekos, Henryk Iwaniec, Ernst Kani, Gilles Lachaud, F. J Van Der Linden, D. W. Masser, G. Wustholz, Maurice Mignotte, G. J. Rieger, Karl Rubin, C. G. Schmidt, Gerald Tenenbaum
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  • Date Published: October 1982
  • availability: Available
  • format: Paperback
  • isbn: 9780521285131

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About the Authors
  • For a number of years, French mathematicians have run regular number theory conferences to which they have invited number theorists from many countries. To repay their hospitality, the London Mathematical Society arranged for the 1980 'Journees Arithmeiques' to be held in Exeter. The papers published here are either based on the main invited lectures or on selected research talks given at the conference. They cover all branches of the subject: combinatorial and elementary methods; analytic number theory; transcendence theory; Galois module theory and algebraic number theory in general; elliptic curves and modular functions; local fields; additive number theory; Diophantine geometry, and uniform distribution. It will be necessary reading for all those undertaking research in number theory.

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    Product details

    • Date Published: October 1982
    • format: Paperback
    • isbn: 9780521285131
    • length: 412 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.6kg
    • availability: Available
  • Table of Contents

    1. Abelian functions and transcendence D. Bertrand
    2. Measures of irrationality, transcendence and algebraic independence: recent progress G. V. Chudnovsky
    3. The Riemann zeta-function D. R. Heath-Brown
    4. On exponential sums and certain of their applications C. Hooley
    5. On the calculation of regulators and class numbers of quadratic fields H. W. Lenstra Jnr.
    6. Petits discriminants des corps de nombres Jaques Martinet
    7. Stickelberger relations in class groups and Galois module structure Leon R. McCulloh
    8. Uniform distribution of sequences of integers W. Narkiewicz
    9. Diophantine equations with parameters A. Schinzel
    10. Galois module structure of rings of integers M. J. Taylor
    11. On the fractional parts of αn3, βn2 and γn R. C. Baker
    12. Irregularities of point distribution in unit cubes W. W. L. Chen
    13. The Hasse principle for pairs of quadratic forms C. F. Coray
    14. Algorithms d'approximation Diophantienne Eugene Dubois
    15. On the group PSL2(Z[i]) J. Elstroot, F. Grunewald and J. Mennicke
    16. Suites a faible discrepance en dimension s H. Faure
    17. Canonical divisibilities of values of p-adic L-functions Georges Gras
    18. Minimal related bases and related problems George P. Grekos
    19. Mean values for Fourier coefficients of cusp forms and sums of Kloosterman sums Henryk Iwaniec
    20. Non-standard methods in Diophantine geometry Ernst Kani
    21. An adelic proof of the Hardy-Littlewood theorem on Waring's problem Gilles Lachaud
    22. Class numbers of real Abelian number fields of small conduct F. J. Van Der Linden
    23. Algebraic independence properties of values of elliptic functions D. W. Masser and G. Wustholz
    24. Estimation elementaires effectives sur les nombres algebriques Maurice Mignotte
    25. Continued fractions and related algorithms G. J. Rieger
    26. Iwasawa theory and elliptic curves: supersingular primes Karl Rubin
    27. On relations between Gauss sums and cyclotomic units C. G. Schmidt
    28. Sur la proximite des diviseurs Gerald Tenenbaum

  • Editor

    J. V. Armitage, University of Durham

    Contributors

    D. Bertrand, G. V. Chudnovsky, D. R. Heath-Brown, C. Hooley, H. W. Lenstra Jnr, Jaques Martinet, Leon R. McCulloh, W. Narkiewicz, A. Schinzel, M. J. Taylor, R. C. Baker, W. W. L. Chen, C. F. Coray, Eugene Dubois, J. Elstroot, F. Grunewald, J. Mennicke, H. Faure, Georges Gras, George P. Grekos, Henryk Iwaniec, Ernst Kani, Gilles Lachaud, F. J Van Der Linden, D. W. Masser, G. Wustholz, Maurice Mignotte, G. J. Rieger, Karl Rubin, C. G. Schmidt, Gerald Tenenbaum

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