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Explicit Bound for the Prime Ideal Theorem in Residue Classes

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10737)

Abstract

We give explicit numerical estimates for the generalized Chebyshev functions. Explicit results of this kind are useful for estimating the computational complexity of algorithms which generate special primes. Such primes are needed to construct an elliptic curve over a prime field using the complex multiplication method.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland

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