Publications:
Preprints:
- A. Bucur, C. David, B. Feigon and M. Lalin,
The fluctuations in the number of points of smooth plane curves over finite fields,
submitted, 2010. PDF file
- A. Bucur, C. David, B. Feigon and M. Lalin,
Biased statistics for traces of cyclic p-fold covers over finite fields,
submitted, 2009. PDF file
- C. David and J. Wu, Almost-prime orders of elliptic curves over finite fields,
submitted, 2008.
PDF file
- A. Balog, A. Cojocaru and C. David, Average twin prime conjecture for elliptic curves, submitted, 2008.
PDF file
Published or accepted for publication:
- A. Bucur, C. David, B. Feigon and M. Lalin,
Statistics for traces of cyclic trigonal curves over finite fields,
International Mathematics Research Notices
Advance Access published on October 27, 2009,
doi:10.1093/imrn/rnp162.
PDF file
- C. David and J. Jimenez Urroz, Square-free discriminants of Frobenius rings,
accepted for publication, International Journal of Number Theory .
PDF file
- A. Cojocaru and C. David, Frobenius fields for Elliptic Curves, American Journal of Mathematics,
130 no. 6, 2008, 1535--1560.
PDF file
- S. Adhikari, C. David and J. Jimenez Urroz, Generalizations of some zero-sum theorems, Integers, 8, paper A 52, 2008.
PDF file
- A. Cojocaru and C. David,
Frobenius fields for Drinfeld modules of rank 2, Compositio Mathematica, 144, 2008, 827–848.
PDF file
- C. David and T. Weston, Local torsion of elliptic curves,
Mathematical Research Letters , volume 15, no 2-3, 2008, 599-611.
PDF file
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C. David, J. Fearnley and H. Kisilevsky,
Vanishing of L-functions of elliptic curves over number fields,
Special Volume "Clay Mathematical Institute Special Week on Ranks of Elliptic Curves
and Random Matrix Theory", Cambridge University Press, 2006, 33-46.
PDF file
or
PS file
or
DVI file
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A. Akbary, C. David and R. Juricevic,
Average distributions and product of L-series,
Acta Arithmetica , 111, 2004, 239-268.
DVI file
or
PS file
- C. David, J. Fearnley and H. Kisilevsky,
On the vanishing of twisted L-functions of elliptic curves,
Experimental Mathematics, , 13, 2004, 185-198.PDF file
or
PS file
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C. David and F. Pappalardi,
Average Frobenius distribution for inerts in Q(i), Journal of
the Ramanujan Mathematical Society , 19, 2004, 1-21.
PDF file
or
DVI file
or
PS file
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C. David, Frobenius distributions of Drinfeld modules of any rank,
Journal of Number Theory , 90, 2001, 329-340.
DVI file
or
PS file
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C. David, Characteristic polynomials of abelian varieties over finite fields,
Mathematical Reports of the Academy of Science,
22, 2000, 33-38.
DVI file
or
PS file
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C. David and F. Pappalardi,
Average Frobenius distributions of elliptic curves,
International Mathematics Research Notices, 1999, 165-183.
DVI file
or
PS file
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C. David, H. Kisilevsky, and F. Pappalardi,
Galois representations with non-surjective traces,
Canadian Journal of Mathematics, 51, 1999, 936-951.
DVI file
or
PS file
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C. David, Average distributions of supersingular
Drinfeld modules, Journal of Number Theory 56, 1996, 366--380.
DVI file
or
PS file
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C. David, Supersingular reduction of Drinfeld modules,
Duke Mathematical Journal 78, 1995, 399--411.
DVI file
or
PS file