Théorie des nombres / Number Theory: Proceedings of the International Number Theory Conference held at Université Laval, July 5-18, 1987

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Jean M. de Koninck, Claude Levesque
Walter de Gruyter, Jan 1, 1989 - Mathematics - 1024 pages
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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

 

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Contents

On evaluation of certain limits in closed form
459
Potential theory on curves
475
Characterization of arithmetical functions problems and results
544
On a sufficient condition for the pclass tower of a CMfield to be infinite
556
Calculation of general Gauss sums and quadratic Gauss sums in finite rings
561
Transfinite diameter and Favards problems on diameters of algebraic integers
574
Poles of Dirichlet series and Dmodules
579
Small prime solutions of linear equations
595

Variation of local heights on an algebraic family of abelian varieties
72
Sur une fausse forme modulaire liée à des identités de Ramanujan et Andrews
97
Global orders in definite quaternion algebras as endomorphism rings for reduced CMelliptic curves
108
Distribution properties of continuous curves
117
On the torsion in quotients of the multiplicative groups in abelian extensions
128
a survey of recent results
133
Places totalement décomposées dans des Zpextensions dun corps de nombres
160
Grandes valeurs de fonctions liées aux diviseurs premiers
169
The maximal order and the average order of multiplicative function σ en
201
Discrépance quadratique de suites infinies en dimension un
207
Integral solutions of linear systems
213
Fractional parts of sequences
220
On the distribution of divisor class groups of curves over a finite field
227
Diophantine approximation Krontckers limit formula and the Riemann Hypothesis
240
Le théorème de RiemannRoch et Ies corps de nombres algébriques
251
Functional equations and periodic sequences
267
Zpextensions of function fields
280
Pseudoprimes on elliptic curves
290
Least primes in arithmetic progressions
306
Cyclic Galois extensions and normal bases
322
Cubic and biquadratic pseudoprimes of Lucas type
330
On some mean value results for the Riemann zetafunction
348
Classical explicit reciprocity
359
The distribution of badly approximable numbers and continuants with bounded digits
371
Approximation de périodes de fonctions méromorphes
386
Lseries of automorphic forms on GL3R
398
Equations différentielles Fuchsiennes et approximations diophantiennes
409
Exponential sums and the Riemann zeta function
417
Some recent results on the Riemann zetafunction
424
On the representations of a group as a Galois group over an arbitrary field
441
Unusually large gaps between consecutive primes
625
On the congruence for Gauss sums and its applications
633
On central extensions
642
Prime producing quadratic polynomials and real quadratic fields of class number one
654
Disjoint systems of rational Beatty sequences
664
Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields
671
On generalized zetafunctions
699
Bounds for solutions of simultaneous diagonal equations of odd degree
703
Long arithmetic progressions and powers of 2
735
Sur la cohomologie de certains modules galoisiens pramifiés
740
On Eulers φ function in quadratic number fields
755
Ternary code construction of even unimodular lattices
772
On the distribution of values of an error term related to the Euler function
785
Formes linéaires de logarithmes elliptiques et mesures de transcendance
798
On a question of Tverberg
806
Titchmarsh series
811
Galois representations associated to generic formal groups
816
A local construction of the local root numbers
823
On Fermat dpseudoprimes
841
Exponential sums of digit counting functions
861
Some computational results on a problem of Eisenstein
869
The Eisenstein measure and real quadratic fields
887
Carmichaels conjecture and some analogues
928
Schneiders method
942
The number of solutions of certain equations of the form fxm gyn over a finite field
968
On entire functions assuming integer values in a geometric sequence
981
Stickelbergs theorem for cyclotomic fields in the spirit of Kummer and Thaine
990
A propos dun lemme de K Kato sur le groupe de Brauer en caractéristique p
994
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