Results 151 to 160 of about 25,191 (172)

Distribution of centrality measures on undirected random networks via the cavity method. [PDF]

open access: yesProc Natl Acad Sci U S A
Bartolucci S   +3 more
europepmc   +1 more source

Identifiability and model selection frameworks for models of high-grade glioma response to chemoradiation. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Hiremath KC   +12 more
europepmc   +1 more source

New Product Formulas for Classical Gauss Sums

open access: closedActa Mathematica Sinica, English Series
In this paper, the authors prove interesting triplication formulas for classical Gaussian sums using elementary methods from algebra and number theory. Letting \(\tau(\chi)\) denote the Gaussian sum \(\tau(\chi) = \sum_{\mu=1}^{q} \chi(\mu) \exp(2\pi i \mu/q)\), one such triplication formula is \[ \tau(\chi^6) = \left(\frac{-1}{q}\right) \frac{\chi(432)
Wenpeng Zhang
exaly   +4 more sources

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