DLMF:26.10.E8 (Q7891): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1gdec

Latest revision as of 14:00, 2 January 2020

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DLMF:26.10.E8
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    Statements

    Defining formula
    ∑ ( - 1 ) k ⁢ p ⁡ ( 𝒟 , n - ( 3 ⁢ k 2 ± k ) ) = { 1 , n = 1 2 ⁢ ( r 2 ± r ) , 0 , otherwise , superscript 1 𝑘 restricted-partitions-P 𝒟 𝑛 plus-or-minus 3 superscript 𝑘 2 𝑘 cases 1 𝑛 1 2 plus-or-minus superscript 𝑟 2 𝑟 0 otherwise {\displaystyle{\displaystyle\sum(-1)^{k}p\left(\mathcal{D},n-(3k^{2}\pm k)% \right)=\begin{cases}1,&n=\tfrac{1}{2}(r^{2}\pm r),\\ 0,&\mbox{otherwise},\end{cases}}}
    0 references
    DLMF id
    DLMF:26.10.E8
    0 references
    Symbols used
    Q12191
    Defining formula
    p ⁡ ( condition , n ) restricted-partitions-P condition 𝑛 {\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}
    xml-id
    C26.S10.SS1.m4agdec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1edec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1gdec
    0 references
     
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