Results 21 to 30 of about 12,592 (145)
Bounded gaps between primes in number fields and function fields [PDF]
, 2014 The Hardy--Littlewood prime $k$-tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs of Zhang, Maynard, and Tao have nevertheless made significant progress ...
Castillo, Abel +4 more
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Mixed Rademacher and BPS black holes
Journal of High Energy Physics, 2017 Dyonic 1/4-BPS states in Type IIB string theory compactified on K3 × T 2 are counted by meromorphic Jacobi forms. The finite parts of these functions, which are mixed mock Jacobi forms, account for the degeneracy of states stable throughout the moduli ...
Francesca Ferrari, Valentin Reys
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Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]
, 2014 In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
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A note on Diophantine inequalities in function fields [PDF]
Notes on Number Theory and Discrete MathematicsWe will discuss how the Bentkus–Götze–Freeman variant of the Davenport–Heilbronn circle method can be used to study 𝔽_q[t] solutions to inequalities of the form ord(λ₁p₁ᵏ+...+λₛpₛᵏ-γ)
Kathryn Wilson
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Distribution of Eigenvalues for the Modular Group [PDF]
, 1995 The two-point correlation function of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the Hardy-Littlewood method. It is shown that ion the limit
A. Selberg +36 more
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Abstract and Applied Analysis, 2014 We consider system of integral equations related to the weighted Hardy-Littlewood-Sobolev (HLS) inequality in a half space. By the Pohozaev type identity in integral form, we present a Liouville type theorem when the system is in both supercritical and ...
Linfen Cao, Zhaohui Dai
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Directional operators and mixed norms [PDF]
, 2002 We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calderón and Zygmund), $X$-ray transforms, and ...
Duoandikoetxea, J.
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A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality [PDF]
, 2011 We show that the sharp constant in the Hardy-Littlewood-Sobolev inequality can be derived using the method that we employed earlier for a similar inequality on the Heisenberg group.
Frank, Rupert L., Lieb, Elliott H.
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Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
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PRIME SOLUTIONS TO POLYNOMIAL EQUATIONS IN MANY VARIABLES AND DIFFERING DEGREES
Forum of Mathematics, Sigma, 2018 Let $\mathbf{f}=(f_{1},\ldots ,f_{R})$ be a system of polynomials with integer coefficients in which the degrees need not all be the same. We provide sufficient conditions for which the system of equations $f_{j}(x_{1},\ldots ,x_{n})=0~(1\leqslant j ...
SHUNTARO YAMAGISHI
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