Výsledky vyhledávání - "Grześkowiak, Maciej"

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MNT Elliptic Curves with Non-Prime Order

Autor: Grześkowiak, Maciej

Miyaji, Nakabayashi, and Takano proposed the algorithm for the construction of prime order pairing-friendly elliptic curves with embedding degrees $k=3,4,6$. We present a method for generating generalized MNT curves. The order of such pairing-friendl

Externí odkaz: http://arxiv.org/abs/2409.20254

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On the sign changes of $\psi(x)-x$

Autor: Grześkowiak, Maciej, Kaczorowski, Jerzy, Pańkowski, Łukasz, Radziejewski, Maciej

We improve the lower bound for $V(T)$, the number of sign changes of the error term $\psi(x)-x$ in the Prime Number Theorem in the interval $[1,T]$ for large $T$. We show that \[ \liminf_{T\to\infty}\frac{V(T)}{\log T}\geq\frac{\gamma_{0}}{\pi}+\frac

Externí odkaz: http://arxiv.org/abs/2408.10399

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Kniha

Wybrane aspekty prawne powrotu uchodźców syryjskich / Selected Legal Aspects of the Syrian Refugees’ Return

Autor: Grześkowiak, Maciej

Externí odkaz: https://www.ceeol.com//search/book-detail?id=1035165

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Explicit Bound for the Prime Ideal Theorem in Residue Classes

Autor: Grzeskowiak, Maciej

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 ell

Externí odkaz: http://arxiv.org/abs/1709.09914

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Akademický článek

A variant of the large sieve inequality with explicit constants

Autor: Grześkowiak Maciej

Publikováno v: Journal of Mathematical Cryptology, Vol 14, Iss 1, Pp 307-315 (2020)

We give an effective version with explicit constants of the large sieve inequality for imaginary quadratic fields. Explicit results of this kind are useful for estimating the computational complexity of algorithms which generate elements, whose norm

Externí odkaz: https://doaj.org/article/4007a51c22e146f99af81987d36ee03b