Matches in SemOpenAlex for { <https://semopenalex.org/work/W2056278611> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2056278611 abstract "In the previous paper, we studied the Toy models for D. H. Lehmer's conjecture. Namely, we showed that the m-th Fourier coefficient of the weighted theta series of the $mathbb{Z}^2$-lattice and the $A_{2}$-lattice does not vanish, when the shell of norm $m$ of those lattices is not the empty set. In other words, the spherical 4 (resp. 6)-design does not exist among the nonempty shells in the $mathbb{Z}^2$-lattice (resp. $A_{2}$-lattice). This paper is the sequel to the previous paper. We take 2-dimensional lattices associated to the algebraic integers of imaginary quadratic fields whose class number is either 1 or 2, except for $mathbb{Q}(sqrt{-1})$ and $mathbb{Q}(sqrt{-3})$, then, show that the $m$-th Fourier coefficient of the weighted theta series of those lattices does not vanish, when the shell of norm $m$ of those lattices is not the empty set. Equivalently, we show that the corresponding spherical 2-design does not exist among the nonempty shells in those lattices." @default.
- W2056278611 created "2016-06-24" @default.
- W2056278611 creator A5034831539 @default.
- W2056278611 creator A5064255284 @default.
- W2056278611 date "2010-04-09" @default.
- W2056278611 modified "2023-09-27" @default.
- W2056278611 title "Toy models for D. H. Lehmer's conjecture II" @default.
- W2056278611 cites W1572283717 @default.
- W2056278611 cites W1589201628 @default.
- W2056278611 cites W1967163087 @default.
- W2056278611 cites W2035808197 @default.
- W2056278611 cites W2045495245 @default.
- W2056278611 cites W2061529974 @default.
- W2056278611 cites W2063949355 @default.
- W2056278611 cites W2092045774 @default.
- W2056278611 cites W2584020404 @default.
- W2056278611 cites W2909170733 @default.
- W2056278611 hasPublicationYear "2010" @default.
- W2056278611 type Work @default.
- W2056278611 sameAs 2056278611 @default.
- W2056278611 citedByCount "0" @default.
- W2056278611 crossrefType "posted-content" @default.
- W2056278611 hasAuthorship W2056278611A5034831539 @default.
- W2056278611 hasAuthorship W2056278611A5064255284 @default.
- W2056278611 hasConcept C102519508 @default.
- W2056278611 hasConcept C114614502 @default.
- W2056278611 hasConcept C121332964 @default.
- W2056278611 hasConcept C129844170 @default.
- W2056278611 hasConcept C134306372 @default.
- W2056278611 hasConcept C17744445 @default.
- W2056278611 hasConcept C191795146 @default.
- W2056278611 hasConcept C199539241 @default.
- W2056278611 hasConcept C207864730 @default.
- W2056278611 hasConcept C24890656 @default.
- W2056278611 hasConcept C2524010 @default.
- W2056278611 hasConcept C2780990831 @default.
- W2056278611 hasConcept C2781204021 @default.
- W2056278611 hasConcept C2983692738 @default.
- W2056278611 hasConcept C33923547 @default.
- W2056278611 hasConcept C9376300 @default.
- W2056278611 hasConceptScore W2056278611C102519508 @default.
- W2056278611 hasConceptScore W2056278611C114614502 @default.
- W2056278611 hasConceptScore W2056278611C121332964 @default.
- W2056278611 hasConceptScore W2056278611C129844170 @default.
- W2056278611 hasConceptScore W2056278611C134306372 @default.
- W2056278611 hasConceptScore W2056278611C17744445 @default.
- W2056278611 hasConceptScore W2056278611C191795146 @default.
- W2056278611 hasConceptScore W2056278611C199539241 @default.
- W2056278611 hasConceptScore W2056278611C207864730 @default.
- W2056278611 hasConceptScore W2056278611C24890656 @default.
- W2056278611 hasConceptScore W2056278611C2524010 @default.
- W2056278611 hasConceptScore W2056278611C2780990831 @default.
- W2056278611 hasConceptScore W2056278611C2781204021 @default.
- W2056278611 hasConceptScore W2056278611C2983692738 @default.
- W2056278611 hasConceptScore W2056278611C33923547 @default.
- W2056278611 hasConceptScore W2056278611C9376300 @default.
- W2056278611 hasLocation W20562786111 @default.
- W2056278611 hasOpenAccess W2056278611 @default.
- W2056278611 hasPrimaryLocation W20562786111 @default.
- W2056278611 hasRelatedWork W1788056763 @default.
- W2056278611 hasRelatedWork W2027866321 @default.
- W2056278611 hasRelatedWork W2028778417 @default.
- W2056278611 hasRelatedWork W2046881433 @default.
- W2056278611 hasRelatedWork W2331415503 @default.
- W2056278611 hasRelatedWork W239524893 @default.
- W2056278611 hasRelatedWork W2477225323 @default.
- W2056278611 hasRelatedWork W2483580773 @default.
- W2056278611 hasRelatedWork W2525059836 @default.
- W2056278611 hasRelatedWork W2525081513 @default.
- W2056278611 hasRelatedWork W2803730384 @default.
- W2056278611 hasRelatedWork W2950813735 @default.
- W2056278611 hasRelatedWork W2951771678 @default.
- W2056278611 hasRelatedWork W2952926434 @default.
- W2056278611 hasRelatedWork W2953022055 @default.
- W2056278611 hasRelatedWork W3037698979 @default.
- W2056278611 hasRelatedWork W3044356486 @default.
- W2056278611 hasRelatedWork W3110570065 @default.
- W2056278611 hasRelatedWork W3160539835 @default.
- W2056278611 hasRelatedWork W3199429512 @default.
- W2056278611 isParatext "false" @default.
- W2056278611 isRetracted "false" @default.
- W2056278611 magId "2056278611" @default.
- W2056278611 workType "article" @default.