Results 41 to 50 of about 7,693,267 (324)
On an exponential D. H. Lehmer problem
Electronic Research ArchiveFor an odd prime $ p $ and a positive integer $ \alpha $, let $ g $ be of multiplicative order $ \tau $ modulo $ q $ and $ q = p^{\alpha} $. Denote by $ N(h, g, q) $ the number of $ a $ such that $ h\nmid (a+(g^{a})_{q}) $ for any $ 1\leq a\leq \tau ...
Zhefeng Xu, Jiankang Wang , Lirong Zhu
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Pediatric Blood &Cancer, EarlyView.ABSTRACT We sought to identify potential early risk biomarkers for lung disease in children post‐allogeneic HCT. Patients with pulmonary function tests 3 months post‐transplant and plasma samples between days 7 and 14 post‐HCT were included. Six of 27 subjects enrolled had reduced forced expiratory volume 1 (FEV1) z scores.
Isabella S. Small +3 more
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New Proof of the Property of Stirling Number Based on Fubini Polynomials
Journal of MathematicsThe main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen.
Li Wang, Xiaoge Liu
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Hybrid mean value involving some two-term exponential sums and fourth Gauss sums
Electronic Research ArchiveLet $ q\ge3 $ be a positive integer. For any integers $ m $, $ n $, $ k $, $ h $, the two-term exponential sums $ C(m, n, k, h; q) $ is defined as $ C(m, n, k, h;q) = \sum\limits_{a = 1}^{q}e\left(\frac{ma^k+na^h}{q}\right) $, where $ k > h\ge 2 $.
Zhefeng Xu, Xiaoying Liu, Luyao Chen
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Some conjectures in elementary number theory [PDF]
, 2013 We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$.
Mingarelli, Angelo B.
core
Quantum algorithms for problems in number theory, algebraic geometry, and group theory
, 2012 Quantum computers can execute algorithms that sometimes dramatically outperform classical computation. Undoubtedly the best-known example of this is Shor's discovery of an efficient quantum algorithm for factoring integers, whereas the same problem ...
Sasaki, Yoshitaka, van Dam, Wim
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Pediatric Blood &Cancer, EarlyView.ABSTRACT The pediatric hematology‐oncology fellowship training curriculum has not substantially changed since its inception. The first year of training is clinically focused, and the second and third years are devoted to scholarship. However, this current structure leaves many fellows less competitive in the current job market, resulting in ...
Scott C. Borinstein +3 more
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Journal of MathematicsThe primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Shushu Ning, Xuexia Wang
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New family of special numbers associated with finite operator [PDF]
Mathematica Moravica, 2020 Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities.
Goubi Mouloud
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Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus +6 more
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