2014American Mathematical MonthlyRequires access

An Asymptotic Formula for (1 + 1/x)x Based on the Partition Function

Chao-Ping Chen, Junesang Choi

Open publisher page 8 citations

Abstract

We present a method to produce estimations of the natural logarithmic constant e, accurate to as many decimal places as we desire. The method is based on an asymptotic formula for (1 + 1/x)x, which uses the partition function.

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What this paper is about

We present a method to produce estimations of the natural logarithmic constant e, accurate to as many decimal places as we desire. The method is based on an asymptotic formula for (1 + 1/x)x, which uses the partition function.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We present a method to produce estimations of the natural logarithmic constant e, accurate to as many decimal places as we desire. The method is based on an asymptotic formula for (1 + 1/x)x, which uses the partition function.

Key concepts: Mathematics, Bachelor, Logarithm, Partition function (quantum field theory), Partition (number theory), Combinatorics, Discrete mathematics, Physics

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