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Formula:8203

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Digital Library of Mathematical Functions ID 24.10.E4

( 1 - p m - 1 ) ⁒ B m m ≑ ( 1 - p n - 1 ) ⁒ B n n ( mod p β„“ + 1 ) , modular-equivalence 1 superscript 𝑝 π‘š 1 Bernoulli-number-B π‘š π‘š annotated 1 superscript 𝑝 𝑛 1 Bernoulli-number-B 𝑛 𝑛 pmod superscript 𝑝 β„“ 1 {\displaystyle{\displaystyle(1-p^{m-1})\frac{B_{m}}{m}\equiv(1-p^{n-1})\frac{B% _{n}}{n}\pmod{p^{\ell+1}},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ≑ modular-equivalence {\displaystyle{\displaystyle\equiv}} :
  • β„“ β„“ {\displaystyle{\displaystyle\ell}} : integer
  • m π‘š {\displaystyle{\displaystyle m}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • p 𝑝 {\displaystyle{\displaystyle p}} : prime
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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