Let E be an elliptic curve defined over Q and without complex multiplication. For a prime p of good reduction, let % E E be the reduction of E modulo p: Assuming that certain Dedekind zeta functions have no zeros in ReΓ°sΓ > 3=4; we determine how often % E EΓ°F p Γ is a cyclic group. This result was p
β¦ LIBER β¦
Distribution of Values of Rational Maps on the Fp-Points on an Affine Curve
β Scribed by Marian Vajaitu; Alexandru Zaharescu
- Publisher
- Springer Vienna
- Year
- 2002
- Tongue
- English
- Weight
- 76 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0026-9255
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Let p be a prime number, let F p be the algebraic closure of F p = Z/pZ, let C be an absolutely irreducible curve in A r (F p ) and h = (h 1 , . . . , h s ) a rational map defined on the curve C. We investigate the distribution in the s-dimensional unit cube (R/Z) s of the images through h of the F