Results 41 to 50 of about 324,501 (284)
Proof of a Conjectured Three-Valued Family of Weil Sums of Binomials [PDF]
, 2015 We consider Weil sums of binomials of the form $W_{F,d}(a)=\sum_{x \in F} \psi(x^d-a x)$, where $F$ is a finite field, $\psi\colon F\to {\mathbb C}$ is the canonical additive character, $\gcd(d,|F^\times|)=1$, and $a \in F^\times$.
Katz, Daniel J., Langevin, Philippe
core +1 more source
A Mean Value Related to Primitive Roots and Golomb’s Conjectures
Abstract and Applied Analysis, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting ...
Weiqiong Wang, Wenpeng Zhang
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Blinatumomab has been shown to be highly effective for patients with pediatric B‐ALL and has recently become standard of care therapy. Due to its past use in the clinical trial setting, there is limited information available about real‐world administration.
Katelyn Oranges +12 more
wiley +1 more source
Character sums and double cosets
Journal of Algebra, 2008 Confirming a conjecture by Alperin in an unpublished manuscript on finding a structural explanation as to why the McKay conjecture in group respresentation theory should be true, the authors prove the following result: If \(G\) is a \(p\)-solvable finite group with a self-normalizing Sylow \(p\)-subgroup \(P\), then for every \(z\in G\) the quantity \(\
Isaacs, I.M., Navarro, Gabriel
openaire +2 more sources
Equidistribution Among Cosets of Elliptic Curve Points in Intervals
Journal of Mathematical Cryptology, 2020 In a recent paper devoted to fault analysis of elliptic curve-based signature schemes, Takahashi et al. (TCHES 2018) described several attacks, one of which assumed an equidistribution property that can be informally stated as follows: given an elliptic ...
Kim Taechan, Tibouchi Mehdi
doaj +1 more source
On Pythagorean Triples and the Primitive Roots Modulo a Prime
Journal of Mathematics, 2021 In this paper, we use the elementary methods and the estimates for character sums to study a problem related to primitive roots and the Pythagorean triples and prove the following result: let p be an odd prime large enough.
Jingzhe Wang
doaj +1 more source
Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
On the Mean Values of Certain Character Sums
Abstract and Applied Analysis, 2013 Let q≥5 be an odd number. In this paper, we study the fourth power mean of certain character sums ∑χmodq,χ-1=-1*∑1≤a≤q/4aχa4 and ∑χmodq,χ-1=1*∑1≤a≤q/4aχa4, where ∑* denotes the summation over primitive characters modulo q, and give some asymptotic ...
Zhefeng Xu, Huaning Liu
doaj +1 more source
The hybrid power mean of the generalized Gauss sums
Advances in Difference Equations, 2017 The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime ...
Li Chen, Wenpeng Zhang
doaj +1 more source