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...Zhao Xiaopeng and Ren Zhibin On two new arithmetic functions and the k -power complement number sequences 43 Xu Zhefeng Smarandache Replicating Digital Function Numbers 49 Jason Earls On the m -power residues numbers sequence 53 Ma Yuankui , Zhang Tianping Smarandache Reverse Power Summation Numbers 57 Jason Earls Some Smarandache Identities 59 Muneer Jebree...
...Charles Ashbacher Many books can be downloaded from the following E-Library of Science: http://www.gallup.unm.edu/~smarandache/eBooks-otherfor... ...161 3.5 Numbers That Are a Multiple of the Product of Their Digits and Related Ideas …………………… 164 3.6 The Largest and Smallest mth Power Whos... ... Theory In this chapter, we present some open problems and conjectures related to the Smarandache Factor Partition function. Problems: 1) ... ... . is an SAS sequence. This is the sequence used to represent numbers in digital computers. In general, n = ∑ a k t k , where a k = 0 or 1 and t k... ...Le has given some examples that prove that the reduced Smarandache Square-Digital subsequence is infinite. Here, we give another example. The s... ... n – 3) for all values of n yields terms of a reduced Smarandache Square-Digital subsequence. A(n): 7 , 97 , 997 , 9997 , 99997 , . . . (A(n)... ...ction 5 Numbers That Are a Multiple of the Product of Their Digits And Related Ideas Smarandache Proud Pairs of Numbers Definition: We say t... ...bers, which have been giving mathematicians sleepless nights all over the world for centuries. Here are a few more to add to their troubles: (1) E...
...ppreciated this work of mine. 3 INTRODUCTION I have met the Smarandache's world for the first time about one year ago reading some articles and probl... ...n Mathematics (University of Texas at Austin, USA), University of Craiova Library (Romania), and Archives of State (Rm. Valcea, Romania). The Smarand... ...he Florentin Smarandache papers" special collection, University of Craiova Library, and Archivele Statului, Filiala Valcea) and another one (V) to the... ... if n is not squarefree Now we will prove the following two theorems related to the sum of Zw function and of its reciprocal respectively. Theor... ...the Pseudo Smarandache Totient function let’s now introduces some problems related to the Pseudo Smarandache Squarefree function. Problem 1. Which is... ..., calculate: = ¥ fi - n i n i a n a 1 ) ( 1 1 1 ) ( 1 lim Is this limit related to g? Problem 5. Is the following inequality satisfied 43 = ... ... a term cannot be dived by any other ones. 45 Example: Smarandache prime-digital sequence, that is prime-digit numbers which are themselves prime: ... ...andache papers" special collection, Arizona State University, Hayden Library, Tempe, Box 871006, AZ 85287- 1006, USA; [3] C. Dumitrescu and...
...I have met the Smarandache's world for the first time about one year ago reading some articles and problems published in the Journal of Recreational Mathematics. From then on I discovered the interesting American Research Press web site dedicated to the ...