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Exceptional sets for Diophantine inequalities [PDF]
International Mathematics Research Notices, 2012 We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument.
D. Wooley, Scott T. Parsell, Trevor
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Contemporary Mathematics. Fundamental Directions, 2023 In this paper, we study sequences of complex numbers of the first order. Multiple terms are allowed for such sequences. We also consider complex sequences with a finite maximum density. We construct special coverings of multiple sets {λk,nk} consisting of circles centered at points λk of special radii.
Krivosheev, A. S., Krivosheeva, O. A.
openaire +3 more sources
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associated functions for the spectral problem defined on entire axis.
Andrey V. Sokolov
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Case Report: Area of focus - involuntary admission for severe Factitious Disorder imposed on self [PDF]
Frontiers in PsychiatryFactitious Disorder is clinically challenging to diagnose owing to its reliance on unequivocal evidence of deception. The nature of the disorder and lack of definitive treatment may limit utilisation of mental health legislation, despite its potential ...
Sim Leng Eng +2 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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Minimal growth of entire functions with prescribed zeros outside exceptional sets
Математичні Студії, 2022 Let $h$ be a positive continuous increasing to $+\infty$ function on $\mathbb{R}$.
I. Andrusyak, P. Filevych, O. Oryshchyn
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Negative Powers of Contractions Having a Strong AA+ Spectrum
Moroccan Journal of Pure and Applied Analysis, 2023 Zarrabi proved in 1993 that if the spectrum of a contraction T on a Banach space is a countable subset of the unit circle 𝕋, and if limn→+∞log(‖T−n‖)n=0{\lim _{n \to + \infty }}{{\log \left( {\left\| {{T^{ - n}}} \right\|} \right)} \over {\sqrt n ...
Esterle Jean
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Exceptional Sets for Sums of Prime Cubes in Short Interval
Journal of Mathematics, 2021 Let EN,X denote the number of even integers n, with N−X≤n≤N, such that n cannot be written as n=p13+⋯+p83. We prove that if X>N1/36+ɛ, then EN,X=oX.
Gongrui Chen
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Erdős-Macintyre type theorem’s for multiple Dirichlet series: exceptional sets and open problems
Математичні Студії, 2023 In the paper, we formulate some open problems related to the best description of the values of the exceptional sets in Wiman's inequality for entire functions and in the Erd\H{o}s-Macintyre type theorems for entire multiple Dirichlet series.
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness
Mathematics, 2021 In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev, Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric measure spaces and prove that the exceptional sets of their Lebesgue points have ...
Ziwei Li, Dachun Yang, Wen Yuan
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