Results 21 to 30 of about 5,332 (130)
Supplementary data and remarks concerning a Hardy-Littlewood conjecture [PDF]
Mathematics of Computation, 1963 1. KY FAN & A. J. HOFFMAN, "Lower bounds for the rank and location of the eigenvalues of a matrix," Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues, edited by Olga Taussky, Nat. Bur. Standards. Apple. Math. Ser., v. 39, 1954, p. 117-130. 2. DAVID G. FEINGOLD & RICHARD S.
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Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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An elementary heuristic for Hardy–Littlewood extended Goldbach’s conjecture [PDF]
São Paulo Journal of Mathematical Sciences, 2019 The goal of this paper is to describe an elementary combinatorial heuristic that predicts Hardy and Littlewood's extended Goldbach's conjecture. We examine common features of other heuristics in additive prime number theory, such as Cramér's model and density-type arguments, both of which our heuristic draws from.
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On Primes Represented by Quadratic Polynomials
, 2007 This is a survey article on the Hardy-Littlewood conjecture about primes in quadratic progressions. We recount the history and quote some results approximating this hitherto unresolved conjecture.Comment: six(6) pages, minor changes were ...
Baier, Stephan, Zhao, Liangyi
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The second Hardy-Littlewood conjecture is true
, 2021 critical error in the direction of one of the key inequalities; the claimed proof does not appear to be ...
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Diophantine equations in semiprimes
Discrete Analysis, 2019 Diophantine equations in semiprimes, Discrete Analysis 2019:17, 21 pp. This paper considers the problem of finding integer solutions to integral polynomial equations of the form $$f(x_1,\dots,x_n)=0\qquad\qquad (*)$$ with the condition that each ...
Shuntaro Yamagishi
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An application of the Hardy–Littlewood conjecture
Journal of Number Theory, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hardy–Littlewood Tuple Conjecture Over Large Finite Fields [PDF]
International Mathematics Research Notices, 2012 We prove the following function field analog of the Hardy–Littlewood conjecture (which generalizes the twin prime conjecture) over large finite fields. Let n and r be positive integers and q an odd prime power. For a tuple of distinct polynomials of degree
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An inverse theorem for the Gowers U^{s+1}[N]-norm
, 2011 We prove the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s >= 3; this is new for s > 3, and the cases s [-1,1] is a function with || f ||_{U^{s+1}[N]} > \delta then there is a bounded-complexity s-step nilsequence F(g(n)\Gamma) which ...
Green, Ben, Tao, Terence, Ziegler, Tamar
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On Primes in Quadratic Progressions
, 2007 We verify the Hardy-Littlewood conjecture on primes in quadratic progressions on average. The results in the present paper significantly improve those of a previous paper of the authors(arXiv:math.NT/0605563).Comment: Fourteen(14) pages, minor changes ...
Baier, Stephan, Zhao, Liangyi
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