Explicit Bound for the Prime Ideal Theorem in Residue Classes

Maciej Grzeskowiak

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arXiv · 1709.09914

Explicit Bound for the Prime Ideal Theorem in Residue Classes

Maciej Grzeskowiak

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Abstract

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

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Maciej Grzeskowiak. 2017-09-28. Explicit Bound for the Prime Ideal Theorem in Residue Classes. https://arxiv.org/abs/1709.09914

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