Results 11 to 20 of about 121,831 (194)
Counting Smooth Solutions to the Equation A+B=C [PDF]
, 2011 This paper studies integer solutions to the Diophantine equation A+B=C in which none of A, B, C have a large prime factor. We set H(A, B,C) = max(|A|, |B|, |C|), and consider primitive solutions (gcd}(A, B, C)=1) having no prime factor p larger than (log
Lagarias, J. C., Soundararajan, K.
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Character sums with division polynomials
, 2011 We obtain nontrivial estimates of quadratic character sums of division polynomials $\Psi_n(P)$, $n=1,2, ...$, evaluated at a given point $P$ on an elliptic curve over a finite field of $q$ elements.
Igor E. Shparlinski +5 more
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Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method [PDF]
, 2016 We prove a bound for quintilinear sums of Kloosterman sums, with congruence conditions on the "smooth" summation variables. This generalizes classical work of Deshouillers and Iwaniec, and is key to obtaining power-saving error terms in applications ...
Drappeau, Sary
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar +8 more
wiley +1 more source
Deep Holes in Reed-Solomon Codes Based on Dickson Polynomials
, 2016 For an $[n,k]$ Reed-Solomon code $\mathcal{C}$, it can be shown that any received word $r$ lies a distance at most $n-k$ from $\mathcal{C}$, denoted $d(r,\mathcal{C})\leq n-k$. Any word $r$ meeting the equality is called a deep hole. Guruswami and Vardy (
Keti, Matt, Wan, Daqing
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Sickle Cell Disease Is an Inherent Risk for Asthma in a Sibling Comparison Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Sickle cell disease (SCD) and asthma share a complex relationship. Although estimates vary, asthma prevalence in children with SCD is believed to be comparable to or higher than the general population. Determining whether SCD confers an increased risk for asthma remains challenging due to overlapping symptoms and the ...
Suhei C. Zuleta De Bernardis +9 more
wiley +1 more source
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
wiley +1 more source
Multiple Exponential and Character Sums with Monomials
, 2013 We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known ...
Shparlinski, Igor
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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
wiley +1 more source
Computing Dirichlet character sums to a power-full modulus
, 2014 The Postnikov character formula is used to express large portions of a Dirichlet character sum in terms of quadratic exponential sums. The quadratic sums are then computed using an analytic algorithm previously derived by the author.
Hiary, Ghaith A.
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