Results 41 to 50 of about 5,332 (130)
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Evaluating Allocations of Opportunities
International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli +3 more
wiley +1 more source
On the Second Hardy-Littlewood Conjecture
The second Hardy-Littlewood conjecture asserts that the prime counting function $π(x)$ satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} for all integers $x,y\geqslant 2$. By linking the subadditivity of $π(x)$ to the error term in the Prime Number Theorem, we obtain unconditional improvements on the range of
Chahal, Bittu +4 more
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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
Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
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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
ASYMPTOTIC OF THE GREATEST DISTANCE BETWEEN ADJACENT PRIMES AND THE HARDY-LITTLEWOOD CONJECTURE
Прикладная физика и математика, 2020 В последнее время, с развитием компьютерной техники и Интернета, проблема распределения простых чисел приобрела важное практическое значение, поскольку она напрямую связана с надежностью, так называемых криптографических систем с открытым ключом. Например, криптографическая стойкость широко применяемой в настоящее время системы шифрования RSA основана ...
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The founding of the Journal of the London Mathematical Society and its first volume
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract That the Journal of the London Mathematical Society came into existence in 1926 can be ascribed to the efforts of one man: G.H. Hardy. As one of the two Secretaries of the Society, Hardy was aware of the increasing demand for publication space in the Society's Proceedings, and the need for an outlet for shorter papers.
June Barrow‐Green
wiley +1 more source
The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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Spreadsheets in Education, 2007 This article shows ways in which Excel can be used to explore the Goldbach Conjecture. We first show an elementary approach in which the Goldbach Comet is constructed by means of a table of values.
John Baker
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