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Rademacher's Series
In number theory, the partition function represents the number of possible Integer partition, partitions of a non-negative integer . For instance, because the integer 4 has the five partitions , , , , and . No closed-form expression for the partition function is known, but it has both asymptotic analysis, asymptotic expansions that accurately approximate it and recurrence relations by which it can be calculated exactly. It grows as an exponential function of the square root of its argument. The multiplicative inverse of its generating function is the Euler function; by Euler's pentagonal number theorem this function is an alternating sum of pentagonal number powers of its argument. Srinivasa Ramanujan first discovered that the partition function has nontrivial patterns in modular arithmetic, now known as Ramanujan's congruences. For instance, whenever the decimal representation of ends in the digit 4 or 9, the number of partitions of will be divisible by 5. Definition and ex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ferrer Partitioning Diagrams
Ferrer may refer to: Generic *Ferrer (surname) People surnamed Ferrer or de Ferrer *Ada Ferrer (born 1962), American historian *Albert Ferrer (born 1970), Spanish footballer *Aldo Ferrer (1927–2016), Argentine economist *Alex Ferrer, judge in the courtroom television show ''Judge Alex'' *Aurelia Ferrer (1880–1963), Argentine film actress *Concepció Ferrer (born 1938), Spanish academic and politician *Danay Ferrer (born 1974) *David Ferrer (born 1982), Spanish tennis player *Darien Ferrer (born 1983), Cuban volleyball player *Dennis Ferrer, American music producer and DJ *Eduardo Blasco Ferrer (1956–2017), Spanish-born specialist in the Sardinian language *Fernando Ferrer (born 1950), American politician *Francesc Ferrer i Guàrdia (1859–1909), Catalan educator, anarchist, and free-thinker who founded the ''Escuela Moderna'' *Frank Ferrer, American rock drummer and session musician *Héctor Altuve Ferrer *Horacio Ferrer (1933–2014) Uruguayan-Argentine poet, broadcaster ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
