Results 21 to 30 of about 16,537 (248)

A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions

open access: yesJaunųjų Mokslininkų Darbai
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
doaj   +1 more source

Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by Gram Points

open access: yesMathematics, 2023
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
doaj   +1 more source

Joint Discrete Universality in the Selberg–Steuding Class

open access: yesAxioms, 2023
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
doaj   +1 more source

The Linear Topology Associated with Weak Convergence of Probability Measures [PDF]

open access: yesMissouri Journal of Mathematical Sciences, 2014
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.
openaire   +4 more sources

A Discrete Limit Theorem for L-Functions of Elliptic Curves

open access: yesJaunųjų Mokslininkų Darbai, 2018
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
doaj   +1 more source

Phase Angle as an Early Functional Biomarker of Cancer‐Related Fatigue in Pediatric Oncology: A Prospective Longitudinal Study

open access: yesPediatric Blood &Cancer, EarlyView.
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
wiley   +1 more source

On Hierarchical Composite Endpoints in Pediatric Cancer Supportive Care: Illustrative Examples From Two Multi‐Center Phase‐III Randomized Clinical Trials

open access: yesPediatric Blood &Cancer, EarlyView.
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
wiley   +1 more source

On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves

open access: yesJaunųjų Mokslininkų Darbai, 2017
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
doaj   +1 more source

Weak convergences of probability measures: A uniform principle [PDF]

open access: yesProceedings of the American Mathematical Society, 1998
We consider a set ∏ \prod of ...
openaire   +2 more sources

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
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
wiley   +1 more source

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