Results 121 to 130 of about 68,409 (246)
Thurston obstructions and tropical geometry
Bulletin of the London Mathematical Society, EarlyView.Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley +1 more source
A focus on the Riemann's Hypothesis
arXiv: General Mathematics, 2020 Riemann's hypothesis, formulated in 1859, concerns the location of the zeros of Riemann's Zeta function. The history of the Riemann hypothesis is well known. In 1859, the German mathematician B. Riemann presented a paper to the Berlin Academy of Mathematic.
openaire +4 more sources
一类自守L-函数的零点密度估计(Zero density estimates of a kind of automorphic L-function)
Zhejiang Daxue xuebao. Lixue ban, 2014 The zero density estimates of automorphic L-functions associated with cusp form are investigated. Define:，Re(s)> 1， it is proved that the zero density estimates as follows ：.
DAIJinhui(代金辉), LIUHeng(刘恒)
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On Artin's conjecture on average and short character sums
Bulletin of the London Mathematical Society, EarlyView.Abstract Let Na(x)$N_a(x)$ denote the number of primes up to x$x$ for which the integer a$a$ is a primitive root. We show that Na(x)$N_a(x)$ satisfies the asymptotic predicted by Artin's conjecture for almost all 1⩽a⩽exp((loglogx)2)$1\leqslant a\leqslant \exp ((\log \log x)^2)$. This improves on a result of Stephens (1969).
Oleksiy Klurman +2 more
wiley +1 more source
An Equivalent to the Riemann Hypothesis
, 2023 The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. It is considered by many to be the most important unsolved problem in pure mathematics. There are several statements equivalent to the famous Riemann hypothesis.
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On the Approximation of the Hardy Z-Function via High-Order Sections
AxiomsThe Z-function is the real function given by Z(t)=eiθ(t)ζ12+it, where ζ(s) is the Riemann zeta function, and θ(t) is the Riemann–Siegel theta function. The function, central to the study of the Riemann hypothesis (RH), has traditionally posed significant
Yochay Jerby
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
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The Effect of the Density of Square-Free ωp-numbers on the Bounds of Beurling Counting Function
Zanco Journal of Pure and Applied SciencesPrimitive weird numbers are weird numbers which are not a multiple of any smaller weird numbers. The goal of this work is to use a square-free primitive weird number x=ab where b be an increasing sequence of prime numbers such that q1 is greater than ∏
Sarah Al-Ebrahimy, Eman F. Mohommed
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