Journées Arithmétiques 1980

Covers all branches of number theory.

J. V. Armitage (Edited by)

9780521285131, Cambridge University Press

Paperback, published 16 September 1982

412 pages
22.8 x 15.2 x 2.3 cm, 0.612 kg

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.

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 ?n3, ?n2 and ?n 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

Subject Areas: Algebra [PBF]