Results 71 to 80 of about 786,873 (284)
A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
doaj +1 more source
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Tropical varieties for exponential sums [PDF]
Mathematische Annalen, 2019 We study the complexity of approximating complex zero sets of certain $n$-variate exponential sums. We show that the real part, $R$, of such a zero set can be approximated by the $(n-1)$-dimensional skeleton, $T$, of a polyhedral subdivision of $\mathbb{R}^n$.
Alperen A. Ergür +2 more
openaire +3 more sources
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
A transformation formula with primitive character
Lietuvos Matematikos Rinkinys, 2013 We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with
Aidas Balčiūnas
doaj +1 more source
A mixed integer nonlinear programming formulation for the problem of fitting positive exponential sums to empirical data [PDF]
Opuscula Mathematica, 2011 In this work we deal with exponential sum models coming from data acquisition in the empirical sciences. We present a two step approach based on Tikhonov regularization and combinatorial optimization, to obtain stable parameter estimations, which fit the
Adalys Alvarez, Hugo Lara
doaj +1 more source
On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields [PDF]
, 2010 Let $\mathbb{F}_{q}$ be a finite field, $\mathbb{F}_{q^s}$ be an extension of $\mathbb{F}_q$, let $f(x)\in \mathbb{F}_q[x]$ be a polynomial of degree $n$ with $\gcd(n,q)=1$.
Cao, Xiwang, Hu, Lei
core +2 more sources
Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
wiley +1 more source
The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
MathematicsIn this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
doaj +1 more source
$T$-adic exponential sums of polynomials in one variable
, 2009 The $T$-adic exponential sum of a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the $C$-function of the T-adic ...
A. Adolphson +9 more
core +2 more sources