On Equations σ(n) = σ(n + k) and Φ(n) = Φ(n + k)

Tomohiro Yamada

首页> 外文期刊>Journal of combinatorics and number theory >On Equations σ(n) = σ(n + k) and Φ(n) = Φ(n + k)

【24h】

On Equations σ(n) = σ(n + k) and Φ(n) = Φ(n + k)

机译：在等式S（n）=σ（n + k）和φ（n）=φ（n + k）

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the distribution of solutions of equations σ(n) = σ(n + k) and Φ(n)= Φ(n + k). We give new upper bounds for these solutions.

机译：我们研究了等式σ（n）=σ（n + k）和φ（n）=φ（n + k）的溶液的分布。我们为这些解决方案提供新的上限。

著录项

来源
《Journal of combinatorics and number theory》 |2017年第1期|共7页
作者
Tomohiro Yamada;
展开▼
作者单位

Center for Japanese language and culture Osaka University Aomatanihigashi Minoo Osaka Japan;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
solutions; distribution; bounds;

机译：解决方案;分布;界限;

相似文献

外文文献
中文文献
专利

1. Coupled and tripled coincidence point results under $$(F, g)$$ $(F, g)$ -invariant sets in $$G_b$$ $G_{b}$ -metric spaces and $$G$$ $G$ - $$lpha $$ $α$ -admissible mappings [J] . Nawab Hussain, Vahid Parvaneh, Farhan Golkarmanesh Mathematical Sciences . 2015,第1期

机译： < / InlineMediaObject> $$（F，g）$$ $（F，g）-中的不变集 $$ G_b $$ <数学xmlns：xlink =“ http://www.w3.org/1999/xlink”> Gb度量空间和$$ G $ $ G-$$ alpha $$ α-允许的映射$
2. Seeley-DeWitt coefficients in $N$ $$ mathcal{N} $$ = 2 Einstein-Maxwell supergravity theory and logarithmic corrections to $N$ $$ mathcal{N} $$ = 2 extremal black hole entropy [J] . Sudip Karan, Gourav Banerjee, Binata Panda The journal of high energy physics . 2019,第8期

机译：seeley-dewitt系数在 $n$$ mathcal {n} $$ = 2 einstein-maxwell supergravity 理论和对数校正到 n$$ mathcal {n} $$ = 2极值黑洞熵$
3. Semi-simple enlargement of the $b m s_{3}$ $$ mathfrak{b}mathfrak{m}{mathfrak{s}}_3 $$ algebra from a $so (2, 2) \oplus so (2, 1)$ $$ mathfrak{so}left(2, 2ight)oplus mathfrak{so}left(2, 1ight) $$ Chern-Simons theory [J] . Patrick Concha, Nelson Merino, Evelyn Rodríguez, The journal of high energy physics . 2019,第2期

机译：半简单地放大 $Bms3$$ mathfrak {b} mathfrak {m} { mathfrak {s}} _ 3 $$ 来自A 所以2，2\oplus所以(2，1$$ mathfrak {所以} 左（2， 2 右） oplus mathfrak {所以} 左（2， 1 右）$ $ ç海洋西蒙斯理论“）”打开=“（”$
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Qualitative Theory of Differential Equations Difference Equations and Dynamic Equations on Time Scales [O] . Tongxing Li, Martin Bohner, Tuncay Candan, 2016

机译：时间尺度上的微分方程差分方程和动态方程的定性理论
7. This article presents a new numerical model describing the behaviour of a thermally thick wood sample exposed to high solar heat flux (above 1 MW/m2). A preliminary study based on dimensionless numbers is used to classify the problem and support model building assumptions. Then, a model based on mass, momentum and energy balance equations is proposed. These equations are coupled with liquid-vapour drying model and pseudo species biomass degradation model. By comparing to a former experimental study, preliminary results have shown that these equations are not enough to accurately predict biomass behaviour under high solar heat flux. Indeed, a char layer acting as radiative shield forms on the sample exposed surface. In addition to this classical set of equations, it is mandatory to take into account radiation penetration into the medium. Furthermore, as biomass contains water, medium deformation consecutively to char steam gasification must also be implemented. Finally, with the addition of these two strategies, the model is able to properly capture the degradation of biomass when exposed to high radiative heat flux over a range of sample initial moisture content. Additional insights of biomass behaviour under high solar heat flux were also derived. Drying, pyrolysis and gasification fronts are present at the same time inside of the sample. The coexistence of these three thermochemical fronts leads to char gasification by the steam produced from drying of the sample, which it is the main phenomenon behind medium ablation. [O] . Pozzobon, Victor, Salvador, Sylvain, Bézian, Jean Jacques 2018

机译：本文提供了一个新的数值模型，该模型描述了暴露于高太阳热通量（高于1 / MW / m2）的热厚木材样品的行为。基于无量纲数的初步研究用于对问题进行分类并支持模型构建假设。然后，提出了一种基于质量，动量和能量平衡方程的模型。这些方程式与液体蒸汽干燥模型和假物种生物质降解模型耦合。通过与以前的实验研究进行比较，初步结果表明，这些方程不足以准确预测高太阳热通量下的生物量行为。的确，在样品暴露的表面上形成了充当辐射屏蔽层的炭层。除了这套经典的方程式之外，还必须考虑到辐射向介质的渗透。此外，由于生物质中含有水，因此还必须在炭蒸气汽化后进行连续的介质变形。最后，通过添加这两种策略，该模型能够在一定范围的样品初始水分含量下暴露于高辐射热通量的情况下，正确捕获生物质的降解。还得出了在高太阳热通量下生物量行为的其他见解。样品内部同时存在干燥，热解和气化前沿。这三个热化学前沿的共存会导致样品干燥产生的蒸汽产生焦炭气化，这是介质烧蚀的主要现象。

On Equations σ(n) = σ(n + k) and Φ(n) = Φ(n + k)

摘要

著录项

相似文献

相关主题

期刊订阅