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	STUDIA MATHEMATICA - Issue no. 2 / 2005

	Article:	THE UNITARY TOTIENT MINIMUM AND MAXIMUM FUNCTIONS. Authors: JOZSEF SANDOR.


	Abstract: The unitary totient function has been introduced by E. Cohen [1]. The Euler minimum function has been first studied by P. Moree and H. Roskam [2], and independently by the author [4], who introduced more general concepts (and duals). A particular case is obtained for the unitary totient. Basic properties for this minimum, as well as maximum functions are pointed out. These include inequalities, divisibility properties, and values taken at special arguments. The necessary exponential diophantine equations are treated by elementary arguments.




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