On the Euler function of the Catalan numbers
نویسندگان
چکیده
منابع مشابه
On the Euler Function of the Catalan Numbers
We study the solutions of the equation φ(Cm)/φ(Cn) = r, where r is a fixed rational number, Ck is the kth Catalan number and φ is the Euler function. We note that the number r = 4 is special for this problem and for it we construct solutions (m,n) to the above equation which are related to primes p such that 2p− 1 or 4p− 3 is also prime. 1. An observation concerning φ(Cn+1)/φ(Cn) For a positive...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2012
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2012.02.002