Results 21 to 30 of about 16,537 (248)
A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions
In this paper, the discrete limit theorem of Bohr-Jessen type with an explicitly given limit measure for a collection of Epstein zeta-functions is given. An extra condition is required to specify the form of the limit measure.
Martynas Šiupienis, Renata Macaitienė
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Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connecting the points s=1/2 and s=1/2+it, and tn denote the solution of the equation θ(t)=(n−1)π, n=0,1,…. The numbers tn are called the Gram points. In this paper,
Antanas Laurinčikas
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Joint Discrete Universality in the Selberg–Steuding Class
In the paper, we consider the approximation of analytic functions by shifts from the wide class S˜ of L-functions. This class was introduced by A. Selberg, supplemented by J. Steuding, and is defined axiomatically.
Roma Kačinskaitė +2 more
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The Linear Topology Associated with Weak Convergence of Probability Measures [PDF]
This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by statisticians and our presentation gives an alternative view than most standard probability textbooks.
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A Discrete Limit Theorem for L-Functions of Elliptic Curves
In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t| 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{
Virginija Garbaliauskienė +1 more
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ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior +11 more
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ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
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Weak convergences of probability measures: A uniform principle [PDF]
We consider a set ∏ \prod of ...
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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