Results 11 to 20 of about 13,307 (188)
On a Class of Lacunary Almost Newman Polynomials Modulo P and Density Theorems [PDF]
Uniform Distribution Theory, 2022 The reduction modulo p of a family of lacunary integer polynomials, associated with the dynamical zeta function ζβ(z)of the β-shift, for β> 1 close to one, is investigated. We briefly recall how this family is correlated to the problem of Lehmer.
D. Dutykh, J. Verger-Gaugry
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On the distribution of a linear sequence associated to sum of divisors evaluated at polynomial arguments [PDF]
, 2012 Following the recent method of Deshouillers and the author in the theory of distribution modulo 1, we show that the sequence with general term bn = m≤n (m 2 + 1)/σ(m 2 + 1) is dense modulo ...
M. Hassani
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Rotated time-frequency lattices are sets of stable sampling for continuous wavelet systems [PDF]
International Conference on Sampling Theory and Applications, 2023 We provide an example for the generating matrix A of a two-dimensional lattice Γ = Aℤ2, such that the following holds: For any sufficiently smooth and localized mother wavelet ψ, there is a constant β(A,ψ) > 0, such that βΓ∩(ℝ×ℝ+) is a set of stable ...
Nicki Holighaus, Günther Koliander
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Diophantine approximation with prime restriction in function fields [PDF]
Journal of Number Theory, 2021 . In the thirties of the last century, I. M. Vinogradov established uniform distribution modulo 1 of the sequence pα when α is a fixed irrational real number and p runs over the primes.
S. Baier +2 more
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Metric number theory, lacunary series and systems of dilated functions [PDF]
Uniform Distribution and Quasi-Monte Carlo Methods, 2013 By a classical result of Weyl, for any increasing sequence $(n_k)_{k \geq 1}$ of integers the sequence of fractional parts $(\{n_k x\})_{k \geq 1}$ is uniformly distributed modulo 1 for almost all $x \in [0,1]$. Except for a few special cases, e.g. when $
C. Aistleitner
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The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions
Memoirs of the American Mathematical Society, 2023 For a fairly general family of L L -functions, we survey the known consequences of the existence of asymptotic formulas with power-saving error term for the (twisted) first and second moments of the central values in the family.
V. Blomer +5 more
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Uniform distribution and geometric incidence theory [PDF]
Journal of Mathematical Analysis and Applications, 2022 A celebrated unit distance conjecture due to Erdős says that that the unit distances cannot arise more than Cǫn times (for any ǫ > 0) among n points in the Euclidean plane (see e.g. [10] and the references contained therein).
A. Gafni, A. Iosevich, E. Wyman
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
A general theory of risk apportionment
Journal of Economics Theory, 2021 Suppose that the conditional distributions of ˜x (resp. ˜y) can be ranked according to the m-th (resp. n-th) risk order. Increasing their statistical concordance increases the (m, n) degree riskiness of (˜x, ˜y), i.e., it reduces expected utility for all
C. Gollier
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Are seizure forecasts and cycles better than chance? What chance? [PDF]
EpilepsiaAbstract Objective There is a growing synergy between the lines of research on cycles in epilepsy and seizure forecasting. It has been conjectured, for instance, that incorporating information about significant seizure cycles into forecasting algorithms can lead to a better‐than‐chance forecasting performance.
Andrzejak RG +4 more
europepmc +2 more sources