Results 61 to 70 of about 1,483,300 (312)
Record Ranges for Samples From Asymmetrical Laplace Distributions
The representations of record ranges via sums of independent identically distributed exponential random variables are obtained for asymmetrical Laplace distributions.
I.V. BELKOV +2 more
doaj +1 more source
Exponential Sums Related to Maass Forms [PDF]
We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums, which is of independent interest.
Jääsaari, Jesse, Vesalainen, Esa V.
core
We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic ...
Fouvry, É., Kowalski, E., Michel, Ph.
core +1 more source
Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maaß forms
Let $ F $ be a normlized Hecke-Maaß form for the congruent subgroup $ \Gamma_0(N) $ with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum $ \mathscr{L}_F(\alpha) = \sum\limits_{n\le X} A_F(n,
Fei Hou
doaj +1 more source
Bounds of triple exponential sums with mixed exponential and linear terms
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
On the law of the iterated logarithm for random exponential sums
The asymptotic behavior of exponential sums ∑ k = 1 N exp ( 2 π i n k α ...
I. Berkes, B. Borda
semanticscholar +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums
This article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums.
Xue Han, Tingting Wang
doaj +1 more source

