Algorithmic Number Theory: 7th International Symposium, by Nigel Boston, Harris Nover (auth.), Florian Hess, Sebastian

By Nigel Boston, Harris Nover (auth.), Florian Hess, Sebastian Pauli, Michael Pohst (eds.)

This ebook constitutes the refereed court cases of the seventh foreign Algorithmic quantity concept Symposium, ANTS 2006, held in Berlin, Germany in July 2006.

The 37 revised complete papers awarded including four invited papers have been rigorously reviewed and chosen for inclusion within the e-book. The papers are prepared in topical sections on algebraic quantity concept, analytic and effortless quantity thought, lattices, curves and forms over fields of attribute 0, curves over finite fields and functions, and discrete logarithms.

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Additional resources for Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006. Proceedings

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Computing zeta functions via p-adic cohomology. Algorithmic number theory, 1–17, Lecture Notes in Comput. , 3076, Springer, Berlin, 2004 (also available on arxiv). 7. : Frobenius maps of abelian varieties and finding roots of unity in finite fields. Math. Comp. 55 (1990), no. 192, 745–763. 8. : On l-adic representations and congruences for coefficients of modular forms. Modular functions of one variable, III (Proc. Internat. Summer School, Univ. Antwerp, 1972), pp. 1–55. , Vol. 350, Springer, Berlin, 1973.

J. E. uk/personal/jec/ftp/data/. 10. J. E. uk/personal/jec/mwrank/. 11. J. E. Cremona and S. Siksek, Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q, ANTS VII Proceedings 2006, Springer 2006. 12. W. Duke, Elliptic curves with no exceptional primes, C. R. Acad. Sci. Paris S´er. I Math. 325 (1997), no. 8, 813–818. 13. B. Edixhoven , On the Manin constants of modular elliptic curves, in Arithmetic algebraic geometry (Texel, 1989), Progr. Math. 89, Birkh¨ auser, Boston (1991), 25–39.

To appear in Compositio Mathematica. 6. : Computing zeta functions via p-adic cohomology. Algorithmic number theory, 1–17, Lecture Notes in Comput. , 3076, Springer, Berlin, 2004 (also available on arxiv). 7. : Frobenius maps of abelian varieties and finding roots of unity in finite fields. Math. Comp. 55 (1990), no. 192, 745–763. 8. : On l-adic representations and congruences for coefficients of modular forms. Modular functions of one variable, III (Proc. Internat. Summer School, Univ. Antwerp, 1972), pp.

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