Results 11 to 20 of about 9,438 (133)
Rising Income Inequality and the Impact of r - g in the United States. [PDF]
Rev Income WealthABSTRACT This paper proposes a novel non‐parametric strategy to test ‘Piketty's third law,' postulating that a positive gap between the rate of return on capital (r$$ r $$) and the economy's growth rate (g$$ g $$) is associated with increased income inequality.
Abatemarco A, Lagomarsino E, Spiganti A.
europepmc +2 more sources
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups [PDF]
, 2018 In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs.
Kassymov, Aidyn +2 more
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Smooth solutions to the abc equation: the xyz Conjecture [PDF]
, 2011 This paper studies integer solutions to the ABC equation A+B+C=0 in which none of A, B, C has a large prime factor. Set H(A,B, C)= max(|A|,|B|,|C|) and set the smoothness S(A, B, C) to be the largest prime factor of ABC.
Lagarias, Jeffrey C., Soundararajan, K.
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Sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$
, 2016 This is the second in our series of papers concerning some reversed Hardy--Littlewood--Sobolev inequalities. In the present work, we establish the following sharp reversed Hardy--Littlewood--Sobolev inequality on the half space $\mathbb R_+^n$ \[ \int_ ...
Nguyen, Van Hoang, Ngô, Quôc-Anh
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Two-point correlation function for Dirichlet L-functions
, 2013 The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic progression.
Bogomolny, E., Keating, J. P.
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Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source
A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
wiley +1 more source
Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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Moments of the Riemann zeta function at its local extrema
Mathematika, Volume 71, Issue 4, October 2025.Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
wiley +1 more source
Non degeneracy of the bubble in the critical case for non local equations
, 2013 We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional ...
Davila, Juan +2 more
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