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DLMF:24.10.E3 - MaRDI portal

DLMF:24.10.E3 (Q8202)

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DLMF:24.10.E3
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    Statements

    DLMF defining formula
    B m m ≡ B n n ( mod p ) , modular-equivalence Bernoulli-number-B 𝑚 𝑚 annotated Bernoulli-number-B 𝑛 𝑛 pmod 𝑝 {\displaystyle{\displaystyle\frac{B_{m}}{m}\equiv\frac{B_{n}}{n}\pmod{p},}}
    0 references
    Symbols used
    Q11083
    DLMF defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1abdec
    0 references
    Q12124
    DLMF defining formula
    ≡ modular-equivalence {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p2.t1.r10.m10aadec
    0 references
    integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C24.S1.XMD4.m1dec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1bdec
    0 references
    prime
    DLMF defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C24.S1.XMD8.m1bdec
    0 references

    Identifiers

     
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