Results 51 to 60 of about 626,535 (304)

Figurate primes and Hilbert's 8th problem

open access: yes, 2014
In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures related with figurate primes and Hilbert's 8th problem, including Goldbach'
Cai, Tianxin   +2 more
core   +1 more source

Stereotactic Body Radiation Therapy for Pediatric, Adolescent, and Young Adult Patients With Osteosarcoma: Local Control Outcomes With Dosimetric Analysis

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis   +13 more
wiley   +1 more source

On Diophantine approximation by unlike powers of primes

open access: yesOpen Mathematics, 2019
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irrational, λ2/λ4 and λ3/λ5 are rational. Let η real, and ε > 0.
Ge Wenxu, Li Weiping, Wang Tianze
doaj   +1 more source

Large gaps between primes [PDF]

open access: yesGraduate Studies in Mathematics, 2014
We show that there exists pairs of consecutive primes less than $x$ whose difference is larger than $t(1+o(1))(\log{x})(\log\log{x})(\log\log\log\log{x})(\log\log\log{x})^{-2}$ for any fixed $t$.
James Maynard
semanticscholar   +1 more source

Prolonged Corrected QT Interval as an Early Electrocardiographic Marker of Cyclophosphamide‐Induced Cardiotoxicity in Pediatric Hematology and Oncology Patients

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cyclophosphamide (CY) is associated with potentially fatal cardiotoxicity, yet no electrocardiographic indices have been established for early detection of CY‐induced cardiomyopathy. This study aimed to determine whether corrected QT interval (QTc) prolongation can predict early onset of CY‐related cardiac dysfunction in pediatric ...
Junpei Kawamura   +5 more
wiley   +1 more source

The generalization and proof of Bertrand's postulate

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
The purpose of this paper is to show that for ...
George Giordano
doaj   +1 more source

On the proximity of large primes

open access: yes, 2017
By a sphere-packing argument, we show that there are infinitely many pairs of primes that are close to each other for some metrics on the integers. In particular, for any numeration basis $q$, we show that there are infinitely many pairs of primes the ...
Luca, Florian   +2 more
core   +2 more sources

Developmental Disorders in Children Recently Diagnosed With Cancer

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Neurocognitive deficits in adult survivors of childhood cancer are well established, but less is known about developmental disorders (DD) arising shortly after cancer diagnosis. Using 2016–2019 linked Ohio cancer registry and Medicaid data, we compared DD among 324 children with cancer and 606,913 cancer‐free controls.
Jamie Shoag   +5 more
wiley   +1 more source

Matrices induced by arithmetic functions acting on certain Krein spaces

open access: yesSpecial Matrices, 2017
In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj   +1 more source

Second-order linear recurrences with identically distributed residues modulo pᵉ [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let p be an odd prime and let u(a,-1) and u(a',-1) be two Lucas sequences whose discriminants have the same nonzero quadratic character modulo p and whose periods modulo p are equal.
Lawrence Somer, Michal Křížek
doaj   +1 more source

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