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The Asymptotic Behavior of Compositions of the Euler and Carmichael Functions
The Asymptotic Behavior Compositions the Euler Carmichael Functions Number Theory
2012/6/14
We compare the asymptotic behavior of Carmichael's lambda function composed with Euler's totient function to the asymptotic behavior of Carmichael's lambda function composed with itself. We establish ...
Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Bell polynomials Euler's constant zeta values
2010/11/22
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zet...
给出了能简捷地计算出高阶Euler多项式和高阶Bernoulli多项式的计算公式.