Results 31 to 40 of about 496 (82)
Finite saturation for unirational varieties [PDF]
, 2017 We import ideas from geometry to settle Sarnak's saturation problem for a large class of algebraic ...
Sofos, Efthymios, Wang, Yuchao
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Geoarchaeology, Volume 39, Issue 3, Page 300-319, May/June 2024.Abstract Lynchets are ridges formed by erosion and sediment accumulation downstream of agricultural plots and offer valuable insights into past agricultural activity. These microtopographies cover vast areas and serve as indicators of historical changes in land use. As a result, their ubiquity across Europe makes them particularly interesting.
Benjamin Keller +3 more
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Waring-Goldbach Problem for Unlike Powers
Chinese Annals of Mathematics, Series BIn this paper, we investigate exceptional sets in the Waring-Goldbach problem for unlike powers. For example, estimates are obtained for sufficiently large integers below a parameter subject to the necessary local conditions that do not have a representation as the sum of a square of prime, a cube of prime and a sixth power of prime and a $k$-th power ...
Feng, Zhenzhen, Ma, Jing
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Sums of four prime cubes in short intervals
, 2018 We prove that a suitable asymptotic formula for the average number of representations of integers $n=p_{1}^{3}+p_{2}^{3}+p_{3}^{3}+p_{4}^{3}$, where $p_1,p_2,p_3,p_4$ are prime numbers, holds in intervals shorter than the the ones previously known ...
Languasco, Alessandro +1 more
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Analyzing the effects of economic sanctions: Recent theory, data, and quantification
Review of International Economics, Volume 32, Issue 1, Page 1-11, February 2024.Abstract Inspired by the increased interest in economic sanctions and their consequences, this special issue contains a collection of studies by experts aiming to reflect the recent developments and trends in the literature on economic sanctions. The contributions contain theoretical research on the topic, data collection, and empirical work on the ...
Peter Egger +2 more
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Sums of two squares and a power
, 2016 We extend results of Jagy and Kaplansky and the present authors and show that for all $k\geq 3$ there are infinitely many positive integers $n$, which cannot be written as $x^2+y^2+z^k=n$ for positive integers $x,y,z$, where for $k\not\equiv 0 \bmod 4$ a
C. Hooley +10 more
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On Waring–Goldbach problem involving fourth powers
Journal of Number Theory, 2011 It is proved that every sufficiently large positive integer \(N\equiv 13\pmod{240}\) can be represented as \(p_1^4+p_2^4+\dots +p_{12}^4+P^4\), where \(p_1,\dots,p_{12}\) are primes and \(P\) is a \(P_5\)-almost prime. For comparison we note that \textit{K. Kawada} and \textit{T. D. Wooley} [Proc. Lond. Math. Soc., III. Ser. 83, No. 1, 1--50 (2001; Zbl
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On the Waring–Goldbach problem for seventh powers [PDF]
Proceedings of the American Mathematical Society, 2005 We use sieve theory and recent estimates for Weyl sums over almost primes to prove that every sufficiently large even integer is the sum of 46 46 seventh powers of prime numbers.
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An Invitation to Additive Prime Number Theory [PDF]
, 2005 2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number ...
Kumchev, A., Tolev, D.
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Sums of four squares of primes
, 2015 Let $E(N)$ denote the number of positive integers $n \le N$, with $n \equiv 4 \pmod{24}$, which cannot be represented as the sum of four squares of primes. We establish that $E(N)\ll N^{11/32}$, thus improving on an earlier result of Harman and the first
Kumchev, Angel V., Zhao, Lilu
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