Results 61 to 70 of about 1,424,186 (337)
On certain exponential and character sums
, 2017 This thesis considers four distinct problems in the area of exponential and character sums. The strategy used to approach each problem can be considered as falling roughly into what is known as Vinogradov's method.
Kerr, Bryce
core +1 more source
Exponential sums related to Maass forms [PDF]
, 2019 We estimate short exponential sums weighted by the Fourier coefficients of a Maass form and discuss how the results depend on the growth of the Fourier coefficients in question.
Vesalainen, Esa V., Jaasaari, Jesse
core +1 more source
Moments and oscillations of exponential sums related to cusp forms [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2014 We consider large values of long linear exponential sums involving Fourier coefficients of holomorphic cusp forms. The sums we consider involve rational linear twists e(nh/k) with sufficiently small denominators.
Esa V. Vesalainen
semanticscholar +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Towards Large-scale Functional Verification of Universal Quantum Circuits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We introduce a framework for the formal specification and verification of quantum circuits based on the Feynman path integral. Our formalism, built around exponential sums of polynomial functions, provides a structured and natural way of specifying ...
Matthew Amy
doaj +1 more source
Molecular Oncology, EarlyView.We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
Stability Analysis of Discrete-Time Stochastic Delay Systems with Impulses
Mathematics, 2021 This paper is concerned with stability analysis of discrete-time stochastic delay systems with impulses. By using the sums average value of the time-varying coefficients and the average impulsive interval, two sufficient criteria for exponential ...
Ting Cai, Pei Cheng
doaj +1 more source
Molecular Oncology, EarlyView.Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena +15 more
wiley +1 more source
Moments, Exponential Sums, and Monodromy Groups
Forum of Mathematics, SigmaWe determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj +1 more source
Randomly stopped sums with exponential-type distributions
Nonlinear Analysis, 2017 Assume that {ξ1, ξ2, …} are independent and possibly nonidentically distributed random variables. Suppose that η is a nonnegative, nondegenerate at zero and integer-valued random variable, which is independent of {ξ1, ξ2, …}.
Svetlana Danilenko +2 more
doaj +1 more source