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pro vyhledávání: '"Peter J. Grabner"'
Publikováno v:
ATZheavy duty worldwide. 14:36-41
Publikováno v:
ATZheavy duty. 14:36-41
Autor:
Peter J. Grabner
Publikováno v:
The Ramanujan Journal. 57:1021-1041
Extremal quasimodular forms have been introduced by M.~Kaneko and M.Koike as as quasimodular forms which have maximal possible order of vanishing at $i\infty$. We show an asymptotic formula for the Fourier coefficients of such forms. This formula is
Autor:
Peter J. Grabner, T. A. Stepanyuk
Publikováno v:
Journal of Approximation Theory. 239:128-143
In this paper we make a comparison between certain probabilistic and deterministic point sets and show that some deterministic constructions (especially spherical t -designs) are better or as good as probabilistic ones like the jittered sampling mode
Publikováno v:
Proceedings ISBN: 9783658355876
Die Europaische Union schreibt ein verpflichtendes CO2-Reduktionsziel von 30 % am schweren Nutzfahrzeug im Jahr 2030 vor. Auf Basis der Gesetzgebung sind die technischen Wege zur Zielerreichung nicht zwingend vorgeschrieben. Daher werden sich diese,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c85749eb0657c54852061613ea37282e
https://doi.org/10.1007/978-3-658-35588-3_18
https://doi.org/10.1007/978-3-658-35588-3_18
Autor:
Peter J. Grabner
We study quasimodular forms of depth [Formula: see text] and determine under which conditions they occur as solutions of modular differential equations. Furthermore, we study which modular differential equations have quasimodular solutions. We use th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0180d37f95e714813d43f87e513995b2
Publikováno v:
Constructive Approximation. 50:45-61
The notion of hyperuniformity originally introduced as a measure of regularity of infinite point sets in Euclidean space is generalized and extended to sequences of finite point sets on the sphere. It is shown that hyperuniformity implies uniform dis
Eigenfunctions of the Fourier transform with prescribed zeros played a major role in the proof that theE8and the Leech lattice give the best sphere packings in respective dimensions 8 and 24 by Cohn, Kumar, Miller, Radchenko and Viazovska. The functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf039b0ee205a201d52b5e13b52c47bd
http://arxiv.org/abs/1907.08558
http://arxiv.org/abs/1907.08558
Autor:
Guy Barat, Peter J. Grabner
Publikováno v:
Uniform distribution theory. 11:151-161
The spatial distribution of binomial coefficients in residue classes modulo prime powers is studied. It is proved inter alia that empirical distribution of the points (k,m)p − m with 0 ≤ k ≤ n < pm and ( n k ) ≡ a ( mod p ) s $\left( {\ma
Autor:
T. A. Stepanyuk, Peter J. Grabner
In this paper we study the worst-case error of numerical integration on the unit sphere S d ⊂ R d + 1 , d ≥ 2 , for certain spaces of continuous functions on S d . For the classical Sobolev spaces H s ( S d ) ( s > d 2 ) upper and lower bounds fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da2869426bbdc24040c7d93dd6073191
http://arxiv.org/abs/1801.05474
http://arxiv.org/abs/1801.05474