Results 41 to 50 of about 84,599 (243)
Local statistics for random domino tilings of the Aztec diamond
, 2000 We prove an asymptotic formula for the probability that, if one chooses a domino tiling of a large Aztec diamond at random according to the uniform distribution on such tilings, the tiling will contain a domino covering a given pair of adjacent lattice ...
Cohn, Henry, Elkies, Noam, Propp, James
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On Estimates of Exponential Sums
, 2005 This paper introduces a general technique for estimating the absolute value of pure Gaussian sums of order k over a prime p for a class of composite order k. The new estimate improves the classical estimate by a factor of about 2 or better (depending on k) for all sufficiently large primes p.
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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
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Translation invariance, exponential sums, and Waring's problem [PDF]
, 2014 We describe mean value estimates for exponential sums of degree exceeding 2 that approach those conjectured to be best possible. The vehicle for this recent progress is the efficient congruencing method, which iteratively exploits the translation ...
Wooley, Trevor D.
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Newton polyhedra and estimates for exponential sums [PDF]
Bulletin of the Australian Mathematical Society, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control
FEBS Open Bio, EarlyView.Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada +5 more
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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
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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
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An additive problem in the Fourier coefficients of cusp forms
, 2003 We establish an estimate on sums of shifted products of Fourier coefficients coming from holomorphic or Maass cusp forms of arbitrary level and nebentypus. These sums are analogous to the binary additive divisor sum which has been studied extensively. As
Harcos, Gergely
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Estimates for complete multiple exponential sums [PDF]
Acta Arithmetica, 2000 Let \(f\) be a polynomial in \({\mathbb Z}[{\mathbf x}]\) in the \(n\) variables \({\mathbf x}=(x_1,\ldots,x_n)\) with integer coefficients and total degree \(d>1\). For a positive integer \(q\), define the complete exponential sum \[ S(f;q)=\sum_{{\mathbf x} \bmod q} e_q(f({\mathbf x})), \] where the sum is taken over a complete set of residues for \({
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