Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier-Manin Operator

نویسندگان

  • Alin Bostan
  • Pierrick Gaudry
  • Éric Schost
چکیده

We study the complexity of computing one or several terms (not necessarily consecutive) in a recurrence with polynomial coefficients. As applications, we improve the best currently known upper bounds for factoring integers deterministically, and for computing the Cartier-Manin operator of hyperelliptic curves.

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عنوان ژورنال:
  • SIAM J. Comput.

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2007