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   Articles with "fourth moment" as a keyword



The Fourth Moment of Truncated Eisenstein Series

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recommendations! Published in 2024 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-025-05496-y

Abstract: We obtain an asymptotic for the fourth moment of truncated Eisenstein series of large Laplacian eigenvalue, verifying for the first time that the main term corresponds to Gaussian random behavior. This is a manifestation of… read more here.

Keywords: moment truncated; eisenstein series; fourth moment; series ... See more keywords

Motohashi’s fourth moment identity for non-archimedean test functions and applications

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recommendations! Published in 2020 at "Compositio Mathematica"

DOI: 10.1112/s0010437x20007101

Abstract: Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic $L$-functions. By an entirely different method, we prove a… read more here.

Keywords: moment; fourth moment; identity; archimedean test ... See more keywords

The inverse transformation of the explicit fourth-moment standardization for structural reliability

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recommendations! Published in 2018 at "Advances in Structural Engineering"

DOI: 10.1177/1369433217732494

Abstract: In practical engineering, the probability distributions of some random variables are often unknown, and the only available information about these may be their statistical moments. To conduct structural reliability assessment without the exclusion of random… read more here.

Keywords: moment standardization; fourth moment; inverse transformation; transformation ... See more keywords
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Towards a Fourth Moment in Law and Development?

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recommendations! Published in 2019 at "Law and Development Review"

DOI: 10.1515/ldr-2019-0013

Abstract: Abstract Throughout its history, law and development has been so confined to or dominated by the economic, that a clear break with the past may be needed. The “three moments” analysis that Trubek and Santos… read more here.

Keywords: fourth moment; law; moment law; law development ... See more keywords