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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.
A. S. Krivosheev, O. A. Krivosheeva
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The exceptional sets of a Waring-Goldbach problem with unequal powers
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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Wiman's type inequality for analytic and entire functions and $h$-measure of an exceptional sets
Let $\mathcal{E}_R$ be the class of analytic functions $f$ represented by power series of the form $f(z)=\sum\limits\limits_{n=0}^{+\infty}a_n z^n$ with the radius of convergence $R:=R(f)\in(0;+\infty].$ For $r\in [0, R)$ we denote the maximum modulus by
O.B. Skaskiv, A.O. Kuryliak
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Structure of the set of Borel exceptional vectors for entire curves. II
We have obtained a description of structure of the sets of Picard and Borel exceptional vectors for transcendental entire curve in some sense. We consider only $p$-dimensional entire curves with linearly independent components without common zeros.
A.I. Bandura, Ya.I. Savchuk
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On the Waring-Goldbach problem for two squares and four cubes
Let NN be a sufficiently large integer. In this article, it is proved that, with at most O(N112+ε)O\left({N}^{\tfrac{1}{12}+\varepsilon }) exceptions, all even positive integers up to NN can be represented in the form p12+p22+p33+p43+p53+p63{p}_{1}^{2 ...
Zhang Min, Bai Hongxin, Li Jinjiang
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The detection and effect of social events on Wikipedia data-set for studying human preferences
Several studies have used Wikipedia (WP) data-set to analyse worldwide human preferences by languages. However, those studies could suffer from bias related to exceptional social circumstances.
Julien Assuied +2 more
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Structure of the set of Borel exceptional vectors for entire curves
It is proved that the structure of the set of Borel exceptional vectors for transcendental entire curve something likes structure of the set of Nevanlinna deficient vectors for entire curve of finite order.
A.I. Bandura, Ya.I. Savchuk
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Investigative judge orders affecting the bodily freedom of the accused in Algerian law [PDF]
: The rights of the accused during the preliminary investigation stage are among the important procedural issues at the present time، because the basic principle in the human being is innocence، which is a principle enshrined in the constitution، in ...
محي الدين علي +1 more
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Non-Hermitian Sensing in Photonics and Electronics: A Review
Recently, non-Hermitian Hamiltonians have gained a lot of interest, especially in optics and electronics. In particular, the existence of real eigenvalues of non-Hermitian systems has opened a wide set of possibilities, especially, but not only, for ...
Martino De Carlo +4 more
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Compliance in “exceptional” trade disputes: a set-theoretical approach [PDF]
This article uses the Qualitative Comparative Analysis (QCA) method to examine the combinations of conditions that explain the length of World Trade Organization (WTO) disputes that invoke General Agreement on Trade and Tariffs’ (GATT) General Exceptions
Rodrigo Fagundes Cezar
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