Partitions into Polynomial Values
Connections for Women: Analytic Number Theory February 02, 2017 - February 03, 2017
Location: SLMath: Eisenbud Auditorium
partitions
Hardy-Littlewood Circle Method
exponential sums
11N60 - Distribution functions associated with additive and positive multiplicative functions
11R59 - Zeta functions and $L$L-functions of function fields
Partitions Into Polynomial Values
In 1918, Hardy and Ramanujan published a seminal paper which included an asymptotic formula for the partition function. In their paper, they also state without proof an asymptotic equivalence for the number of partitions of a number into k-th powers. In this talk, I will present an asymptotic formula for the number of partitions into k-th powers using a relatively simple method, verifying the claim of Hardy and Ramanujan. We will then discuss extensions of this result to partitions into integer values of polynomials.
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Gafni Notes
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Partitions Into Polynomial Values
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03-Gafni.mp4
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