One of the most impressive and useful contributions to twentieth century number theory was the circle method of Ramanujan, Hardy, and Littlewood, with subsequent improvements by Rademacher. The application of the circle method to the problem of finding a convergent series representation for p(n), the number of partitions of n involves a number of nontrivial calculations and delicate estimates, some of which are amenable to automation in a computer algebra system such as Mathematica. I will share Rademacher-type formulas for various restricted partition functions which were obtained with the aid of the computer
Nearly a century ago, the mathematicians Hardy and Ramanujan established their celebrated circle met...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
1. Introduction * The famous formula of Rademacher [5] for the number p(n) of partitions of an integ...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of n is review...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
A collection of Hardy-Ramanujan-Rademacher type formulas for restricted partition and overpartition ...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was give...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was give...
Nearly a century ago, the mathematicians Hardy and Ramanujan established their celebrated circle met...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
1. Introduction * The famous formula of Rademacher [5] for the number p(n) of partitions of an integ...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of n is review...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
A collection of Hardy-Ramanujan-Rademacher type formulas for restricted partition and overpartition ...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
An asymptotic formula for p(n), precise enough to give the exact value, was given by Hardy and Raman...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was give...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was give...
Nearly a century ago, the mathematicians Hardy and Ramanujan established their celebrated circle met...
The partition function has long enchanted the minds of great mathematicians, dating from Euler\u27s ...
1. Introduction * The famous formula of Rademacher [5] for the number p(n) of partitions of an integ...
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