Results 31 to 40 of about 786,670 (261)
Estimates for exponential sums [PDF]
Proceedings of the American Mathematical Society, 1980 If f is a polynomial over Z of degree n + 1 n + 1 with n ⩾ 1 n \geqslant 1 , then for each integer q ⩾ 1 , | Σ 1 ⩽ x ⩽
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Whittaker Coefficients of Metaplectic Eisenstein Series
, 2015 We study Whittaker coefficients for maximal parabolic Eisenstein series on metaplectic covers of split reductive groups. By the theory of Eisenstein series these coefficients have meromorphic continuation and functional equation.
Brubaker, Benjamin, Friedberg, Solomon
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Mean value estimates for odd cubic Weyl sums [PDF]
, 2014 We establish an essentially optimal estimate for the ninth moment of the exponential sum having argument $\alpha x^3+\beta x$. The first substantial advance in this topic for over 60 years, this leads to improvements in Heath-Brown's variant of Weyl's ...
Wooley, Trevor D.
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Zeros of Exponential Sums [PDF]
Proceedings of the American Mathematical Society, 1965 1. M. Marden, The geometry of the zeros of a polynomial in a complex variable, Math. Surveys No. 3, Amer. Math. Soc., Providence, R. I., f949. 2. A. Ostrowski, Recherches sur la methode de Graeffe et les zdros des polynomes et des s6ries de Laurent, Acta Math. 72 (1940), 99-257. 3. Z.
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Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT
Frontiers in Applied Mathematics and Statistics, 2016 In spectral estimation, one has to determine all parameters of an exponential sum for finitely many (noisy)sampled data of this exponential sum.Frequently used methods for spectral estimation are MUSIC (MUltiple SIgnal Classification) and ESPRIT ...
Daniel ePotts +2 more
doaj +1 more source
FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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$T$-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
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.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
Stretched Exponential Relaxation Arising from a Continuous Sum of Exponential Decays
, 2006 Stretched exponential relaxation of a quantity n versus time t according to n = n_0 exp[-(lambda* t)^beta] is ubiquitous in many research fields, where lambda* is a characteristic relaxation rate and the stretching exponent beta is in the range 0 < beta <
D. C. Johnston, K. Weron
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.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
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