We tweak Siegel’s method to produce a rather simple proof of a new upper bound on the number of partitions of an integer into an exact number of parts. Our approach, which exploits the delightful dilogarithm function, extends easily to numerous other counting functions.
机构:
School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, IndiaSchool of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India
Gupta, Vijay
Shervashidze, Tengiz
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机构:
A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi, 0193, Georgia
I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 0186, GeorgiaSchool of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India
Shervashidze, Tengiz
Springer Proceedings in Mathematics and Statistics,
2013,
33
: 293
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301