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- Pentagonal_number_theorem abstract "In mathematics, the pentagonal number theorem, originally due to Euler, relates the product and series representations of the Euler function. It states thatIn other words,The exponents 1, 2, 5, 7, 12, ... on the right hand side are given by the formula gk = k(3k-1)/2 for k = 1, −1, 2, −2, 3, ... and are called (generalized) pentagonal numbers. This holds as an identity of convergent power series for , and also as an identity of formal power series.A striking feature of this formula is the amount of cancellation in the expansion of the product.".
- Pentagonal_number_theorem thumbnail GrayDot.svg?width=300.
- Pentagonal_number_theorem wikiPageExternalLink kmath623.htm.
- Pentagonal_number_theorem wikiPageID "340294".
- Pentagonal_number_theorem wikiPageRevisionID "597860875".
- Pentagonal_number_theorem hasPhotoCollection Pentagonal_number_theorem.
- Pentagonal_number_theorem subject Category:Articles_containing_proofs.
- Pentagonal_number_theorem subject Category:Theorems_in_number_theory.
- Pentagonal_number_theorem type Abstraction100002137.
- Pentagonal_number_theorem type Communication100033020.
- Pentagonal_number_theorem type Message106598915.
- Pentagonal_number_theorem type Proposition106750804.
- Pentagonal_number_theorem type Statement106722453.
- Pentagonal_number_theorem type Theorem106752293.
- Pentagonal_number_theorem type TheoremsInNumberTheory.
- Pentagonal_number_theorem comment "In mathematics, the pentagonal number theorem, originally due to Euler, relates the product and series representations of the Euler function. It states thatIn other words,The exponents 1, 2, 5, 7, 12, ... on the right hand side are given by the formula gk = k(3k-1)/2 for k = 1, −1, 2, −2, 3, ... and are called (generalized) pentagonal numbers.".
- Pentagonal_number_theorem label "Pentagonal number theorem".
- Pentagonal_number_theorem label "Pentagonalzahlensatz".
- Pentagonal_number_theorem label "Teorema dei numeri pentagonali".
- Pentagonal_number_theorem label "Teorema del número pentagonal".
- Pentagonal_number_theorem label "Théorème des nombres pentagonaux".
- Pentagonal_number_theorem label "オイラーの五角数定理".
- Pentagonal_number_theorem label "五邊形數定理".
- Pentagonal_number_theorem sameAs Pentagonalzahlensatz.
- Pentagonal_number_theorem sameAs Teorema_del_número_pentagonal.
- Pentagonal_number_theorem sameAs Théorème_des_nombres_pentagonaux.
- Pentagonal_number_theorem sameAs Teorema_dei_numeri_pentagonali.
- Pentagonal_number_theorem sameAs オイラーの五角数定理.
- Pentagonal_number_theorem sameAs 오일러의_오각수_정리.
- Pentagonal_number_theorem sameAs m.01x_mc.
- Pentagonal_number_theorem sameAs Q282649.
- Pentagonal_number_theorem sameAs Q282649.
- Pentagonal_number_theorem sameAs Pentagonal_number_theorem.
- Pentagonal_number_theorem wasDerivedFrom Pentagonal_number_theorem?oldid=597860875.
- Pentagonal_number_theorem depiction GrayDot.svg.
- Pentagonal_number_theorem isPrimaryTopicOf Pentagonal_number_theorem.
