W. Duke
Rutgers University
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Comptes Rendus De L Academie Des Sciences Serie I-mathematique | 1997
W. Duke
Let E be an elliptic curve over Q. A prime N is said to be exceptional for E if the mod N Galois representation of E is not surjective, i.e. if the Galois group of the N-th division field of E is not equal to GL(2, N). We show that, in terms of heights, almost all curves have no exceptional prime.
Inventiones Mathematicae | 2001
W. Duke; John B. Friedlander; Henryk Iwaniec
Inventiones Mathematicae | 1990
W. Duke; Rainer Schulze-Pillot
Inventiones Mathematicae | 1994
W. Duke; J. B. Friedlander; Henryk Iwaniec
Inventiones Mathematicae | 2000
W. Duke; Emmanuel Kowalski
Annals of Mathematics | 1995
W. Duke; John B. Friedlander; Henryk Iwaniec
Inventiones Mathematicae | 1997
W. Duke; John B. Friedlander; Henryk Iwaniec
Inventiones Mathematicae | 1995
W. Duke
Inventiones Mathematicae | 1993
W. Duke; John B. Friedlander; Henryk Iwaniec
Duke Mathematical Journal | 1995
W. Duke; John B. Friedlander; Henryk Iwaniec
