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Three topics in additive prime number theory [PDF]
Current Developments in Mathematics, 2007 This is an expository article to accompany my two lectures at the CDM conference. I have used this an excuse to make public two sets of notes I had lying around, and also to put together a short reader's guide to some recent joint work with T.Tao ...
Green, Ben
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ACEOS – The additive and constitutive equation of state in the n-alkane homologous series
Chemical Thermodynamics and Thermal Analysis, 2022 The critical volumeVc, the relation between the critical temperature and the pressure Tc / Pc and the product PcVc2 depend linearly on the number of carbons in a homologous series as a consequence of the theory of corresponding states. This suggests that
Miguel Gonzalo Arenas-Quevedo +2 more
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Mathematics, 2022 In the present paper, correlations between multifractality and stochasticity in atmospheric dynamics are investigated. Starting with two descriptions of atmospheric scenarios, one based on scale relativity theory and another based on stochastic theory ...
Dragos-Constantin Nica +7 more
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The exceptional sets of a Waring-Goldbach problem with unequal powers
Xi'an Gongcheng Daxue xuebao, 2021 The representability of positive odd number n=p1+P32+p3k(k∈N and k≥4) was studied. The circle method in additive number theory and the iterative method in the circle method were used to deal with the main arcs and the exponential sum method was used to ...
Doudou ZHU
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Integrality of hook ratios [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prove an analogue of a theorem of Landau that already applied in the factorial
Paul-Olivier Dehaye
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Interference as an information-theoretic game [PDF]
Quantum, 2021 The double slit experiment provides a clear demarcation between classical and quantum theory, while multi-slit experiments demarcate quantum and higher-order interference theories. In this work we show that these experiments pertain to a broader class of
Sebastian Horvat, Borivoje Dakić
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How Quantum Mechanics Requires Non-Additive Measures
Entropy, 2023 Measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. In previous works, we found that state quantification plays a foundational role in classical mechanics, and, therefore, we set ...
Gabriele Carcassi, Christine A. Aidala
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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BioData Mining, 2021 Background Non-additive interactions among genes are frequently associated with a number of phenotypes, including known complex diseases such as Alzheimer’s, diabetes, and cardiovascular disease.
Alena Orlenko, Jason H. Moore
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Rectification Principles in Additive Number Theory [PDF]
Discrete & Computational Geometry, 1998 The authors consider two principles allowing them to reduce some additive problems on residue classes modulo a prime to the corresponding problems for integers. Some concrete applications are given by the authors.
Bilu, Y. F., Lev, V. F., Ruzsa, I. Z.
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