Explicit Bound for the Prime Ideal Theorem in Residue Classes
Number Theory
2017-09-29 v1
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.
Cite
@article{arxiv.1709.09914,
title = {Explicit Bound for the Prime Ideal Theorem in Residue Classes},
author = {Maciej Grzeskowiak},
journal= {arXiv preprint arXiv:1709.09914},
year = {2017}
}