FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W893669676> ?p ?o ?g. }

• W893669676 abstract "Let $K=mathbb{Q}(omega)$ with $omega$ the root of a degree $n$ monic irreducible polynomial $finmathbb{Z}[X]$. We show the degree $n$ polynomial $N(sum_{i=1}^{n-k}x_iomega^{i-1})$ in $n-k$ variables formed by setting the final $k$ coefficients to 0 takes the expected asymptotic number of prime values if $nge 4k$. In the special case $K=mathbb{Q}(sqrt[n]{theta})$, we show $N(sum_{i=1}^{n-k}x_isqrt[n]{theta^{i-1}})$ takes infinitely many prime values provided $nge 22k/7$. Our proof relies on using suitable `Type I' and `Type II' estimates in Harman's sieve, which are established in a similar overall manner to the previous work of Friedlander and Iwaniec on prime values of $X^2+Y^4$ and of Heath-Brown on $X^3+2Y^3$. Our proof ultimately relies on employing explicit elementary estimates from the geometry of numbers and algebraic geometry to control the number of highly skewed lattices appearing in our final estimates." @default.
• W893669676 created "2016-06-24" @default.
• W893669676 creator A5074725717 @default.
• W893669676 date "2015-07-17" @default.
• W893669676 modified "2023-09-27" @default.
• W893669676 title "Primes represented by incomplete norm forms" @default.
• W893669676 cites W1537354568 @default.
• W893669676 cites W1557027117 @default.
• W893669676 cites W1570142347 @default.
• W893669676 cites W1988516874 @default.
• W893669676 cites W2002667200 @default.
• W893669676 cites W2033727285 @default.
• W893669676 cites W2095702659 @default.
• W893669676 cites W2102898540 @default.
• W893669676 cites W2124417833 @default.
• W893669676 cites W2138323620 @default.
• W893669676 cites W2155764708 @default.
• W893669676 cites W2576104645 @default.
• W893669676 cites W2588688138 @default.
• W893669676 hasPublicationYear "2015" @default.
• W893669676 type Work @default.
• W893669676 sameAs 893669676 @default.
• W893669676 citedByCount "4" @default.
• W893669676 countsByYear W8936696762016 @default.
• W893669676 countsByYear W8936696762018 @default.
• W893669676 countsByYear W8936696762021 @default.
• W893669676 crossrefType "posted-content" @default.
• W893669676 hasAuthorship W893669676A5074725717 @default.
• W893669676 hasConcept C113429393 @default.
• W893669676 hasConcept C114614502 @default.
• W893669676 hasConcept C118615104 @default.
• W893669676 hasConcept C121332964 @default.
• W893669676 hasConcept C134306372 @default.
• W893669676 hasConcept C163635466 @default.
• W893669676 hasConcept C169654258 @default.
• W893669676 hasConcept C17744445 @default.
• W893669676 hasConcept C184992742 @default.
• W893669676 hasConcept C18903297 @default.
• W893669676 hasConcept C191795146 @default.
• W893669676 hasConcept C199539241 @default.
• W893669676 hasConcept C23230895 @default.
• W893669676 hasConcept C24209939 @default.
• W893669676 hasConcept C24890656 @default.
• W893669676 hasConcept C2775997480 @default.
• W893669676 hasConcept C2777299769 @default.
• W893669676 hasConcept C2779557605 @default.
• W893669676 hasConcept C33923547 @default.
• W893669676 hasConcept C62520636 @default.
• W893669676 hasConcept C86803240 @default.
• W893669676 hasConcept C90119067 @default.
• W893669676 hasConcept C9376300 @default.
• W893669676 hasConceptScore W893669676C113429393 @default.
• W893669676 hasConceptScore W893669676C114614502 @default.
• W893669676 hasConceptScore W893669676C118615104 @default.
• W893669676 hasConceptScore W893669676C121332964 @default.
• W893669676 hasConceptScore W893669676C134306372 @default.
• W893669676 hasConceptScore W893669676C163635466 @default.
• W893669676 hasConceptScore W893669676C169654258 @default.
• W893669676 hasConceptScore W893669676C17744445 @default.
• W893669676 hasConceptScore W893669676C184992742 @default.
• W893669676 hasConceptScore W893669676C18903297 @default.
• W893669676 hasConceptScore W893669676C191795146 @default.
• W893669676 hasConceptScore W893669676C199539241 @default.
• W893669676 hasConceptScore W893669676C23230895 @default.
• W893669676 hasConceptScore W893669676C24209939 @default.
• W893669676 hasConceptScore W893669676C24890656 @default.
• W893669676 hasConceptScore W893669676C2775997480 @default.
• W893669676 hasConceptScore W893669676C2777299769 @default.
• W893669676 hasConceptScore W893669676C2779557605 @default.
• W893669676 hasConceptScore W893669676C33923547 @default.
• W893669676 hasConceptScore W893669676C62520636 @default.
• W893669676 hasConceptScore W893669676C86803240 @default.
• W893669676 hasConceptScore W893669676C90119067 @default.
• W893669676 hasConceptScore W893669676C9376300 @default.
• W893669676 hasLocation W8936696761 @default.
• W893669676 hasOpenAccess W893669676 @default.
• W893669676 hasPrimaryLocation W8936696761 @default.
• W893669676 hasRelatedWork W145753464 @default.
• W893669676 hasRelatedWork W1538837824 @default.
• W893669676 hasRelatedWork W1563004854 @default.
• W893669676 hasRelatedWork W2018318624 @default.
• W893669676 hasRelatedWork W2030513608 @default.
• W893669676 hasRelatedWork W2112884357 @default.
• W893669676 hasRelatedWork W2180760127 @default.
• W893669676 hasRelatedWork W2271922649 @default.
• W893669676 hasRelatedWork W2339363869 @default.
• W893669676 hasRelatedWork W2410886005 @default.
• W893669676 hasRelatedWork W2583785683 @default.
• W893669676 hasRelatedWork W2952173815 @default.
• W893669676 hasRelatedWork W2953308741 @default.
• W893669676 hasRelatedWork W2969809849 @default.
• W893669676 hasRelatedWork W3007407961 @default.
• W893669676 hasRelatedWork W3043035659 @default.
• W893669676 hasRelatedWork W3101729073 @default.
• W893669676 hasRelatedWork W3103853013 @default.
• W893669676 hasRelatedWork W3128664866 @default.
• W893669676 hasRelatedWork W3206784337 @default.
• W893669676 isParatext "false" @default.
• W893669676 isRetracted "false" @default.
• W893669676 magId "893669676" @default.

• next