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pro vyhledávání: '"Schaeffer, A."'
Autor:
Colleen Skidmore
Mary Schäffer was a photographer, writer, botanical painter, and mapmaker from Philadelphia, well known for her travels in the Canadian Rockies and Japan at the turn of the twentieth century. In Searching for Mary Schäffer, Colleen Skidmore takes u
Autor:
Vazquez, Santiago
In recent work, Koukoulopoulos, Maynard and Yang proved an almost sharp quantitative bound for the Duffin-Schaeffer conjecture, using the Koukoulopoulos-Maynard technique of GCD graphs. This coincided with a simplification of the previous best known
Externí odkaz:
http://arxiv.org/abs/2409.10386
Autor:
Hauke, Manuel, Ramirez, Felipe A.
We prove the inhomogeneous generalization of the Duffin-Schaeffer conjecture in dimension $m \geq 3$. That is, given $\mathbf{y}\in \mathbb{R}^m$ and $\psi:\mathbb{N}\to\mathbb{R}_{\geq 0}$ such that $\sum (\varphi(q)\psi(q)/q)^m = \infty$, we show t
Externí odkaz:
http://arxiv.org/abs/2407.05344
The most versatile version of the classical divergence Borel-Cantelli lemma shows that for any divergent sequence of events $E_n$ in a probability space satisfying a quasi-independence condition, its corresponding limsup set $E_\infty$ has positive p
Externí odkaz:
http://arxiv.org/abs/2406.19198
We present a novel proof of the Duffin-Schaeffer conjecture in metric Diophantine approximation. Our proof is heavily motivated by the ideas of Koukoulopoulos-Maynard's breakthrough first argument, but simplifies and strengthens several technical asp
Externí odkaz:
http://arxiv.org/abs/2404.15123
We prove a quantitative version of the Duffin-Schaeffer conjecture with an almost sharp error term. Precisely, let $\psi:\mathbb{N}\to[0,1/2]$ be a function such that the series $\sum_{q=1}^\infty \varphi(q)\psi(q)/q$ diverges. In addition, given $\a
Externí odkaz:
http://arxiv.org/abs/2404.14628
Autor:
Frühwirth, Lorenz, Hauke, Manuel
Given a monotonically decreasing $\psi: \mathbb{N} \to [0,\infty)$, Khintchine's Theorem provides an efficient tool to decide whether, for almost every $\alpha \in \mathbb{R}$, there are infinitely many $(p,q) \in \mathbb{Z}^2$ such that $\left\lvert
Externí odkaz:
http://arxiv.org/abs/2403.11257
Autor:
Colin Duriez
El impacto de Francis Schaeffer sigue teniendo una amplia resonancia dentro de la Iglesia y de la cultura contemporánea. Su vida, apasionada y genuina, es el centro de la biografía autorizada de Colin Duriez, inspirada en más de 150.000 palabra
Autor:
Héron, Pierre-Marie
Publikováno v:
Histoires Littèraires. jui-sep2022, Vol. 23 Issue 91, p49-77. 29p.
Akademický článek
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