Results 191 to 200 of about 122,337 (231)

Long-Range Dependence in Word Time Series: The Cosine Correlation of Embeddings. [PDF]

Entropy (Basel)
Wieczyński P, Dębowski Ł.
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Benchmark Measurements for Energetic Salts: A Prerequisite toward Improved Estimation Methods for Lattice Enthalpy. [PDF]

ACS Omega
Habert L, Mathieu D, Quéré S, Daniel M, Pasquinet E.   +4 more
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Identification and quantification of irreversibility in stochastic systems.

Phys Chem Chem Phys
Ghosal A, Bisker G.
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Phylogenetic Estimation of branch-specific Shifts in the Tempo of Origination

Kopperud BT, Höhna S.
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OpenCodeCounts: An open-access, interactive online tool and R package for analysing clinical code usage in England

Tamborska AA, Higgins R, Boukari Y, Kingsley V, Ojedele L, Oreagba K, Massey J, Schaffer A, Green A, Hulme W, MacKenna B, Curtis HJ, Fisher L, Wiedemann M.   +13 more
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Estimates of character sums in finite fields

Mathematical Notes, 2010
Suppose \(p\) is a prime and \(\{\omega_1,\dots,\omega_n\}\) is a basis of \(\mathbb F_{p^n}\) over \(\mathbb F_p\). Suppose \(B\) is an \(n\)-dimensional parallelepiped with edges \(H_1,\dots,H_n\), that is \[ B=\left\{\sum_{x=1}^n x_i\omega_i:N_i+1\leq x_i\leq N_i+H_i, i=1,\dots,n\right\}, \] where \(0\leq N_i0\), there is a natural number \(k ...
S V Konyagin
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Some Estimates for Character Sums and Applications

Designs, Codes and Cryptography, 2001
Let \(p\) be a prime number, \(F_{q}\) a finite field with \(q=p^{ \nu}\) elements, \(S\) a subset of \(F_{q}\), and \( \chi\) a nontrivial multiplicative character of the field \(F_{q}\) of order \(s \geq 2\). If \(n \geq 2\) is an arbitrary integer satisfying \(n \not\equiv 0\pmod s\), the author proves that there exists a monic irreducible ...
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Estimation of a Character Sum

Bulletin of the London Mathematical Society, 1988
The author estimates the sum \[ A=\sum_ ...
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The Character Sum Estimate with r = 3

Journal of the London Mathematical Society, 1986
This paper is the culmination of the author's recent efforts to extend his well-known character sum estimates to arbitrary moduli. He shows that for any non-principal character \(\chi\) modulo \(k\) and arbitrary positive integers \(N\) and \(H\) the estimate \[ \sum^{N+H}_{n=N+1}\chi (n) \ll_{\varepsilon} H^{1-(1/r)} k^{(r+1)/4r^ 2+\varepsilon}\tag{*}
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Estimation of Character Sums Modulo a Power of a Prime

Proceedings of the London Mathematical Society, 1986
Let \(\chi\) be a primitive character modulo \(k\), and let \[ S(N,H)=\sum_{n=N+1}^{N+H}\chi(n). \] The author's celebrated character sum estimate [ibid. 13, 524--536 (1963; Zbl 0123.04404)] states that the bound \[ S(N,H)\ll_{r,\varepsilon} H^{1-(1/r)} k^{(r+1)/4r^2+\varepsilon} \tag{*} \] holds uniformly in \(N\) and \(H\) for any \(\varepsilon >0 ...
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