Results 71 to 80 of about 1,424,186 (337)
FEBS Open Bio, EarlyView.CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point +7 more
wiley +1 more source
On the fourth power mean of the generalized three-term exponential sums
四川大学学报. 自然科学版, 2020 This paper aims at calculation of the fourth power mean of a certain generalized three-term exponential sums modulo p, an odd prime.By using some properties of the classical Gauss sums and character sums, we give some exact calculating formulae and ...
Tang Rui, CHEN Long
doaj
Bounds for a spectral exponential sum [PDF]
Journal of the London Mathematical Society, 2018 We prove new upper bounds for a spectral exponential sum by refining the process by which one evaluates mean values of $L$-functions multiplied by an oscillating function. In particular, we introduce a method which is capable of taking into consideration the oscillatory behaviour of the function.
Olga Balkanova, Dmitry Frolenkov
openaire +2 more sources
Pure and mixed exponential sums [PDF]
, 1999 . We obtain explicit formulae and sharp estimates for pure and mixed exponential sums of the type S(f, pm) = ∑pm x=1 epm (f(x)) and S(χ, f, pm) = ∑pm x=1 χ(x)epm (f(x)), where p m is a prime power with m ≥ 2, χ is a multiplicative character (mod pm), and
Zhiyong Zheng +3 more
core +1 more source
Resonances and Ω-results for exponential sums related to Maass forms for SL(n,Z) [PDF]
, 2014 We obtain resonances for short exponential sums weighted by Fourier coefficients of Maass forms for SL(n,Z). This involves deriving asymptotics for the integrals appearing in the GL(n) Voronoi summation formula.
Anne-Maria Ernvall-Hytonen +2 more
semanticscholar +1 more source
Kloosterman paths and the shape of exponential sums [PDF]
Compositio Mathematica, 2014 We consider the distribution of the polygonal paths joining partial sums of classical Kloosterman sums $\text{Kl}_{p}(a)$ , as $a$ varies over $\mathbf{F}_{p}^{\times }$ and as $p$ tends to infinity.
E. Kowalski, W. Sawin
semanticscholar +1 more source
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
On the Sixth Power Mean Value of the Generalized Three-Term Exponential Sums
Abstract and Applied Analysis, 2014 The main purpose of this paper is using the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean value of the generalized three-term exponential sums and give an ...
Yahui Yu, Wenpeng Zhang
doaj +1 more source
Mathematics, 2023 In this paper, the representability of the generalized Student’s distribution as uniform and normal-scale mixtures is considered. It is also shown that the generalized Burr and the Snedecor–Fisher distributions can be represented as the scale mixtures of
Victor Korolev, Alexander Zeifman
doaj +1 more source
On exponential sums over multiplicative subgroups of medium size [PDF]
Finite Fields Their Appl., 2013 In the paper we obtain some new upper bounds for exponential sums over multiplicative subgroups @[email protected]?F"p^@? having sizes in the range [p^c^"^1,p^c^"^2], where c"1, c"2 are some absolute constants close to 1/2.
I. Shkredov
semanticscholar +1 more source