Results 101 to 110 of about 5,333 (218)
Sets of values of general Dirichlet series
Duke Mathematical Journal, 1968 \textit{Harald Bohr} [Math. Ann. 79, 136--156 (1919; JFM 46.0490.01)] gave four theorems on the set of values of a general Dirichlet series \(f(s) = \sum_{n=1}^\infty a_n e^{-\lambda_ns}\), where \(\lambda_{n+1} > \lambda_n\), \(\lambda_n\to +\infty\), taken along a given vertical line or in its neighborhood.
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Experimental Physiology, EarlyView.Abstract It has been hypothesised that the composition of the gastrointestinal (GI) microbiota contributes to exertional heat illness (EHI) aetiology, but relevant empirical data in humans are lacking. Utilising a unique prospective study design, stool samples and resting blood samples were obtained from 550 individuals prior to (within 3 days ...
Alex A. M. Gould +12 more
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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Discrete limit theorems for general Dirichlet series. III
Open Mathematics, 2004 Laurinčikas A., Macaitienė R.
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Bounded exponential sums with multiplicative coefficients
Mathematika, Volume 72, Issue 4, October 2026.Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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Zeros of polynomials in derivatives of automorphic L$L$‐functions
Mathematika, Volume 72, Issue 4, October 2026.Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
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Artificial Intelligence in Climate and Sustainable Finance: A Blessing or a Curse?
Journal of Economic Surveys, Volume 40, Issue 4, Page 1854-1873, September 2026.ABSTRACT While there are concerns regarding the sustainability of artificial intelligence (AI), it is a potential ally in the transition toward a greener future. It offers advanced tools for data analysis; risk modeling; and environmental, social, and governance (ESG) assessment.
Filippo di Pietro +3 more
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Journal of Economic Surveys, Volume 40, Issue 4, Page 2111-2128, September 2026.ABSTRACT This paper investigates the evolving landscape of research on the economics of artificial intelligence (AI). Using topic modeling on a corpus of over 4,600 academic papers, we identify the dominant themes that have shaped the literature to date and highlight areas that remain relatively underexplored. In addition, we assess the extent to which
Lucy Hampton, John Lourenze Poquiz
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Singularities of generalized dirichlet series
, 1995 Non disponible / Not ...
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