Matches in SemOpenAlex for { <https://semopenalex.org/work/W2003518679> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W2003518679 endingPage "292" @default.
- W2003518679 startingPage "286" @default.
- W2003518679 abstract "Let Q ( x ) = Q ( x 1 , x 2 , …, x n ) be a quadratic form with integer coefficients and p be an odd prime. Suppose that n is even and det Q ≢0 (mod p ). Set Δ = ((−1) n 2 det Q p ) , and let Q ∗ ( x ) be the form associated with the inverse of the matrix representing Q ( x ), (mod p ). If Δ = 1, it is known that there exists a nonzero x with max |x i | < p 1 2 and Q ( x ) ≡ 0 (mod p ). If Δ = −1 we show here that there exists a nonzero x with max |x i | ⪡ p 1 2 and either Q ( x ) ≡ 0 (mod p ) or Q ∗ ( x ) ≡ 0 (mod p ). We also show that for any form Q ( x ), if n > 4 log 2 p + 3, then the congruence Q ( x ) ≡ 0 (mod p ) has a solution with 0 < max |x i | < p 1 2 ." @default.
- W2003518679 created "2016-06-24" @default.
- W2003518679 creator A5001319677 @default.
- W2003518679 date "1989-11-01" @default.
- W2003518679 modified "2023-10-16" @default.
- W2003518679 title "Small zeros of quadratic forms modulo p" @default.
- W2003518679 cites W1028212911 @default.
- W2003518679 cites W1525927756 @default.
- W2003518679 cites W1970459814 @default.
- W2003518679 cites W2324459529 @default.
- W2003518679 doi "https://doi.org/10.1016/0022-314x(89)90065-6" @default.
- W2003518679 hasPublicationYear "1989" @default.
- W2003518679 type Work @default.
- W2003518679 sameAs 2003518679 @default.
- W2003518679 citedByCount "8" @default.
- W2003518679 countsByYear W20035186792012 @default.
- W2003518679 countsByYear W20035186792014 @default.
- W2003518679 crossrefType "journal-article" @default.
- W2003518679 hasAuthorship W2003518679A5001319677 @default.
- W2003518679 hasBestOaLocation W20035186791 @default.
- W2003518679 hasConcept C114614502 @default.
- W2003518679 hasConcept C132074034 @default.
- W2003518679 hasConcept C152022596 @default.
- W2003518679 hasConcept C184992742 @default.
- W2003518679 hasConcept C199360897 @default.
- W2003518679 hasConcept C207467116 @default.
- W2003518679 hasConcept C2524010 @default.
- W2003518679 hasConcept C29231244 @default.
- W2003518679 hasConcept C33923547 @default.
- W2003518679 hasConcept C41008148 @default.
- W2003518679 hasConcept C54732982 @default.
- W2003518679 hasConcept C97137487 @default.
- W2003518679 hasConceptScore W2003518679C114614502 @default.
- W2003518679 hasConceptScore W2003518679C132074034 @default.
- W2003518679 hasConceptScore W2003518679C152022596 @default.
- W2003518679 hasConceptScore W2003518679C184992742 @default.
- W2003518679 hasConceptScore W2003518679C199360897 @default.
- W2003518679 hasConceptScore W2003518679C207467116 @default.
- W2003518679 hasConceptScore W2003518679C2524010 @default.
- W2003518679 hasConceptScore W2003518679C29231244 @default.
- W2003518679 hasConceptScore W2003518679C33923547 @default.
- W2003518679 hasConceptScore W2003518679C41008148 @default.
- W2003518679 hasConceptScore W2003518679C54732982 @default.
- W2003518679 hasConceptScore W2003518679C97137487 @default.
- W2003518679 hasIssue "3" @default.
- W2003518679 hasLocation W20035186791 @default.
- W2003518679 hasOpenAccess W2003518679 @default.
- W2003518679 hasPrimaryLocation W20035186791 @default.
- W2003518679 hasRelatedWork W1413158740 @default.
- W2003518679 hasRelatedWork W1850224236 @default.
- W2003518679 hasRelatedWork W2002812164 @default.
- W2003518679 hasRelatedWork W2003518679 @default.
- W2003518679 hasRelatedWork W2181788201 @default.
- W2003518679 hasRelatedWork W2243126321 @default.
- W2003518679 hasRelatedWork W2348358318 @default.
- W2003518679 hasRelatedWork W2379851994 @default.
- W2003518679 hasRelatedWork W2981610839 @default.
- W2003518679 hasRelatedWork W3099474398 @default.
- W2003518679 hasVolume "33" @default.
- W2003518679 isParatext "false" @default.
- W2003518679 isRetracted "false" @default.
- W2003518679 magId "2003518679" @default.
- W2003518679 workType "article" @default.