Results 51 to 60 of about 122,337 (231)
Burgess's Bounds for Character Sums [PDF]
, 2012 We prove that Burgess's bound gives an estimate not just for a single character sum, but for a mean value of many such sums.Comment: Minor changes and addition of reference to Gallagher ...
Heath-Brown, Roger
core
Bounds of triple exponential sums with mixed exponential and linear terms
, 2018 We establish bounds of triple exponential sums with mixed exponential and linear function. The method we use is by Shparlinski together with a bound of additive energy from Roche-Newton, Rudnev and Shkredov.Comment: Corrected a ...
Yau, Kam Hung
core +1 more source
Estimates for Character Sums in Finite Fields of Order p2 and p3 [PDF]
Proceedings of the Steklov Institute of Mathematics, 2018 Let $p$ be a prime number, $\mathbb{F}_{p^n}$ be the finite field of order $p^n$, and $\{ω_1,\ldotsω_n\}$ be a basis of $\mathbb{F}_{p^n}$ over $\mathbb{F}_p$. Let, further, $N_i,H_i$ be integers such that $1\leq H_i\leq p$, $\,\,i=1,\ldots,n$. Define $n$-dimensional parallelepiped $B\subseteq\mathbb{F}_{p^n}$ as follows: $$B=\left\{\sum_{i=1}^nx_iω_i \
openaire +3 more sources
Inpatient Food Insecurity and Pediatric Hematology Oncology Hospitalization Outcomes
Pediatric Blood &Cancer, EarlyView.ABSTRACT Children with cancer and blood disorders are at risk for food insecurity (FI). We aimed to describe the association of inpatient food insecurity (IFI) and hospitalization outcomes among patients admitted to the pediatric hematology oncology service. Of 325 caregivers screened for IFI, 60 (18.6%) screened positive.
Joanna M. Robles +4 more
wiley +1 more source
Estimates for Character Sums and DirichletL-Functions to Smooth Moduli [PDF]
International Mathematics Research Notices, 2015 We use the $q$-analogue of van der Corput's method to estimate short character sums to smooth moduli. If $χ$ is a primitive Dirichlet character modulo a squarefree, $q^δ$-smooth integer $q$ we show that $$L(\frac12,χ)\ll_εq^{\frac{27}{164}+O(δ)+ε}.$$
openaire +2 more sources
Germline TP53 Mutations Causing Diamond–Blackfan Anemia: A French Report
Pediatric Blood &Cancer, EarlyView.ABSTRACT Diamond–Blackfan anemia is a rare congenital erythroblastopenia typically caused by mutations in ribosomal protein genes. Recently, gain‐of‐function mutations in TP53 have been identified as a novel cause of Diamond–Blackfan anemia. We report two French patients who both harbored a heterozygous TP53 deletion (NM_000546.5: c.1077delA; p ...
Rafael Moisan +6 more
wiley +1 more source
Application of a character sum estimate to a 2-class number density
Journal of Number Theory, 1984 Sei \(A_{2,X}\) die Menge aller quadratfreien natürlichen Zahlen \(n\leq x\) derart, daß im imaginär-quadratischen Körper \({\mathbb{Q}}(\sqrt{- n})\) genau zwei Primzahlen verzweigen, und sei \(B_{2,X}\) die Menge aller \(n\in A_{2,X}\), für welche \({\mathbb{Q}}(\sqrt{-n})\) die Klassenzahl 4 hat.
Gerth, Frank III, Graham, S. W.
openaire +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT End‐of‐life conversations with adolescents and young adults (AYAs) with cancer rarely occur without the guidance of healthcare professionals. As a part of the ‘Difficult Discussions’ study, focused on palliative care and advance care planning discussions with AYAs with cancer, we investigated the factors that healthcare professionals identify ...
Justine Lee +9 more
wiley +1 more source
$p$-adic estimates for multiplicative character sums
, 2011 9 ...
Adolphson, Alan, Sperber, Steven
openaire +2 more sources