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Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
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Cancer Medicine, Volume 12, Issue 15, Page 16142-16162, August 2023., 2023 Abstract Background Breast cancer (BC) patients with a germline CHEK2 c.1100delC variant have an increased risk of contralateral BC (CBC) and worse BC‐specific survival (BCSS) compared to non‐carriers. Aim To assessed the associations of CHEK2 c.1100delC, radiotherapy, and systemic treatment with CBC risk and BCSS. Methods Analyses were based on 82,701
Anna Morra +249 more
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Composition operators on weighted Hilbert spaces of Dirichlet series
Journal of the London Mathematical Society, Volume 108, Issue 2, Page 837-868, August 2023., 2023 Abstract We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting functions associated with the Dirichlet series symbol, and provide a corresponding change of variables formula for the composition operator.
Athanasios Kouroupis +1 more
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PAMM, Volume 22, Issue 1, March 2023., 2023 Abstract Classical hardness of approximation (HA) is the phenomenon that, assuming P ≠ NP, one can easily compute an ϵ‐approximation to the solution of a discrete computational problem for ϵ > ϵ0 > 0, but for ϵ < ϵ0 – where ϵ0 is the approximation threshold – it becomes intractable. Recently, a similar yet more general phenomenon has been documented in
Laura Thesing, Anders C. Hansen
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Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 1-77, February 2023., 2023 Abstract An exponential polynomial is a finite linear sum of terms P(z)eQ(z)$P(z)e^{Q(z)}$, where P(z)$P(z)$ and Q(z)$Q(z)$ are polynomials. The early results on the value distribution of exponential polynomials can be traced back to Georg Pólya's paper published in 1920, while the latest results have come out in 2022.
Janne Heittokangas +3 more
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Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of Julia set of entire solutions of complex differential equations is obtained.
Zhigao Qin +3 more
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article is to describe the entire solutions of some partial differential‐difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high‐order partial differential‐difference equations (or systems) of the Fermat type with two complex variables are obtained.
Yuxian Chen +3 more
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Complete Continuity of Composition‐Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 We study composition‐differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self‐map of the unit disk such that the composition‐differentiation operator induced by φ is bounded on the Hardy space H1, then it is completely continuous.
Ali Abkar, Eva A. Gallardo Gutiérrez
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On the reproducing kernel of a Pontryagin space of vector valued polynomials [PDF]
, 2011 We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of $d \times 1$ vector polynomials is determined by a generalized Nevanlinna pair of $d \times d$ matrix polynomials.Comment: 33 ...
Dijksma, Aad, Ćurgus, Branko
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Human Mutation, Volume 2023, Issue 1, 2023., 2023 A large number of variants identified through clinical genetic testing in disease susceptibility genes are of uncertain significance (VUS). Following the recommendations of the American College of Medical Genetics and Genomics (ACMG) and Association for Molecular Pathology (AMP), the frequency in case‐control datasets (PS4 criterion) can inform their ...
Maria Zanti +126 more
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