Zobrazeno 1 - 10
of 14 034
pro vyhledávání: '"Pink A"'
Autor:
Pink, István, Sándor, Csaba
Let $n$ be a positive integer. The Diophantine equation $n(x_1+x_2+\dots +x_n)=x_1x_2\dots x_n$, $1 \le x_1\le x_2\le \dots \le x_n$ is called Erd\H{o}s's last equation. We prove that $x_n\to \infty $ as $n\to \infty$ and determine all tuples $(n,x_1
Externí odkaz:
http://arxiv.org/abs/2411.04764
Autor:
Pink, Mathis, Vo, Vy A., Wu, Qinyuan, Mu, Jianing, Turek, Javier S., Hasson, Uri, Norman, Kenneth A., Michelmann, Sebastian, Huth, Alexander, Toneva, Mariya
Current LLM benchmarks focus on evaluating models' memory of facts and semantic relations, primarily assessing semantic aspects of long-term memory. However, in humans, long-term memory also includes episodic memory, which links memories to their con
Externí odkaz:
http://arxiv.org/abs/2410.08133
Autor:
Gehrunger, Tim, Pink, Richard
Consider a hyperelliptic curve of genus $g$ over a field $K$ of characteristic zero. After extending $K$ we can view it as a marked curve with its $2g+2$ Weierstrass points. We present an explicit algorithm to compute the stable reduction of this mar
Externí odkaz:
http://arxiv.org/abs/2404.14214
Autor:
Miyazaki, Takafumi, Pink, István
It is conjectured that for any fixed relatively prime positive integers $a,b$ and $c$ all greater than 1 there is at most one solution to the equation $a^x+b^y=c^z$ in positive integers $x,y$ and $z$, except for specific cases. We develop the methods
Externí odkaz:
http://arxiv.org/abs/2403.20037
Autor:
Mornev, Maxim, Pink, Richard
Let $\phi$ be a Drinfeld $A$-module of finite residual characteristic $\bar{\mathfrak{p}}$ over a local field $K$. We study the action of the inertia group of $K$ on a modified adelic Tate module $\smash{T^\circ_{\text{ad}}}(\phi)$ which differs from
Externí odkaz:
http://arxiv.org/abs/2402.08254