Matches in SemOpenAlex for { <https://semopenalex.org/work/W3216401955> ?p ?o ?g. }
Showing items 1 to 50 of
50
with 100 items per page.
- W3216401955 abstract "In this paper, we mainly prove the following conjectures of Z.-H. Sun cite{SH2}: Let $p>3$ be a prime. If $pequiv1pmod3$ and $p=x^2+3y^2$, then we have $$ sum_{k=0}^{p-1}frac{D_k}{4^k}equivsum_{k=0}^{p-1}frac{D_k}{16^k}equiv4x^2-2p-frac{p^2}{4x^2}pmod{p^3}, $$ and if $pequiv2pmod3$, then $$ -sum_{k=0}^{p-1}frac{D_k}{4^k}equiv2sum_{k=0}^{p-1}frac{D_k}{16^k}equiv-frac{p^2}2binom{frac{p-1}2}{frac{p-5}6}^{-2} pmod{p^3}, $$ where $D_n=sum_{k=0}^nbinom{n}k^2binom{2k}kbinom{2n-2k}{n-k}$ stands for the $n$th Domb number." @default.
- W3216401955 created "2021-12-06" @default.
- W3216401955 creator A5042142240 @default.
- W3216401955 creator A5089464074 @default.
- W3216401955 date "2021-12-01" @default.
- W3216401955 modified "2023-09-27" @default.
- W3216401955 title "Proof of some conjectural congruences involving Domb numbers." @default.
- W3216401955 cites W1505819731 @default.
- W3216401955 cites W1988796589 @default.
- W3216401955 cites W2000022137 @default.
- W3216401955 cites W2034200863 @default.
- W3216401955 cites W2081867136 @default.
- W3216401955 cites W2114326712 @default.
- W3216401955 cites W2127003847 @default.
- W3216401955 cites W2129208333 @default.
- W3216401955 cites W2166445918 @default.
- W3216401955 cites W2222658182 @default.
- W3216401955 cites W2326892041 @default.
- W3216401955 cites W2947886509 @default.
- W3216401955 cites W2962847122 @default.
- W3216401955 cites W3023071828 @default.
- W3216401955 cites W639381892 @default.
- W3216401955 hasPublicationYear "2021" @default.
- W3216401955 type Work @default.
- W3216401955 sameAs 3216401955 @default.
- W3216401955 citedByCount "0" @default.
- W3216401955 crossrefType "posted-content" @default.
- W3216401955 hasAuthorship W3216401955A5042142240 @default.
- W3216401955 hasAuthorship W3216401955A5089464074 @default.
- W3216401955 hasConcept C114614502 @default.
- W3216401955 hasConcept C121332964 @default.
- W3216401955 hasConcept C184992742 @default.
- W3216401955 hasConcept C185592680 @default.
- W3216401955 hasConcept C33923547 @default.
- W3216401955 hasConcept C71240020 @default.
- W3216401955 hasConcept C9973445 @default.
- W3216401955 hasConceptScore W3216401955C114614502 @default.
- W3216401955 hasConceptScore W3216401955C121332964 @default.
- W3216401955 hasConceptScore W3216401955C184992742 @default.
- W3216401955 hasConceptScore W3216401955C185592680 @default.
- W3216401955 hasConceptScore W3216401955C33923547 @default.
- W3216401955 hasConceptScore W3216401955C71240020 @default.
- W3216401955 hasConceptScore W3216401955C9973445 @default.
- W3216401955 hasLocation W32164019551 @default.
- W3216401955 hasOpenAccess W3216401955 @default.
- W3216401955 hasPrimaryLocation W32164019551 @default.
- W3216401955 isParatext "false" @default.
- W3216401955 isRetracted "false" @default.
- W3216401955 magId "3216401955" @default.
- W3216401955 workType "article" @default.