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Then the pseudo-Riemannian metric on Sl(2 , R ) defined by u has a definite quadratic first integral (and hence is complete) provided that the Lax pair vector field has no
En g´en´eralisant un r´esultat de Pourchet, nous d´emon- trons que si α, β sont deux sommes de puissances d´efinies sur Q , satisfaisant certaines conditions n´ecessaires, la
Nous am´e- liorons substantiellement les constantes num´eriques intervenant dans les ´enonc´es existants pour le cas de deux logarithmes, obtenus avec la m´ethode de Baker ou bien
Ideal class groups, Hilbert’s irreducibility theorem, and integral points of bounded degree..
Universit´ e Claude Bernard Lyon 1 43, avenue du 11 novembre 1918 69622 Villeurbanne cedex, France E-mail
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Then we discuss applications to counting problems concerning matrices in the general linear group, units in certain integral group rings and integral normal bases. Christian
While a stochastic oscillatory integral with quadratic Wiener functional as phase function has a general representation via Carleman- Fredholm determinant ([3, 6, 10]), in
