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18

May 27, 2021
05/21

by
Charles Ashbacher

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In this paper we shall investigate some aspects involving Smarandache function.

7
7.0

May 27, 2021
05/21

by
Charles Ashbacher

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This paper proves the existence of an infinite family of pairs of dissimilar Pythagorean triangles that are pseudo Smarandacherelated.

21
21

May 27, 2021
05/21

by
Charles Ashbacher

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This paper deals with palindromic numbers and iterations of the Pseudo-Smarandache Function.

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10.0

Apr 2, 2021
04/21

by
Charles Ashbacher

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Florentin Smarandache is truly a Renaissance man, having produced quality work in art, mathematics and literature. This is my fifth book where I expand on some of his mathematical ideas and there seems to be no end in sight. In chapter 1, several sequences created by concatenating all of the natural numbers are examined. By expressing the numbers in bases other than 10, a single type of concatenation can generate several different sequences. Upon examination, it can be seen that there are some...

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28

May 27, 2021
05/21

by
Charles Ashbacher

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In this paper, some iterations of this function on palindromes that yield palindromes are demonstrated.

21
21

May 27, 2021
05/21

by
Charles Ashbacher

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Being the third in a series on the Smarandache Notions, it is a tribute to the mind of Florentin Smarandache that there seems to be no end to the chain of problems. He is to be commended for contributing so many problems in so many areas. It will be at least decades before most of the problems that he has posed will be resolved. If you found this book interesting, I strongly encourage you to examine the references listed at the end of this book. There is much more there that remains unexplored....

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37

May 27, 2021
05/21

by
Charles Ashbacher

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The Pseudo-Smarandache function has a simple definition: Given any integer n > 0, the value of the Pseudo-Smarandache function is the smallest integer m such that n evenly divides the sum 1 + 2 + 3 + ... -+- m. In this paper, several problems concerning this function will be presented and solved. Most will involve the standard number theory functions such as Euler's phi function and the sum of divisors function.

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96

Nov 6, 2015
11/15

by
Charles Ashbacher

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The creation of a book is an act that requires several preconditions. I) An interesting and worthwhile subject 2) A fair, yet demanding editor. 3) Someone willing to put the words on paper.

Topic: Smarandache Function

87
87

Nov 6, 2015
11/15

by
Charles Ashbacher

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The previous volume in this series, An Introduction to the Smarandache Function, also by Erhus Cniversity Press, dealt almost exclusively with some "basic" consequences of the Smarandache function. In this one, the universe of discourse has been expanded to include a great many other things.

Topics: Collection, Smarandache Notions

177
177

Nov 6, 2015
11/15

by
Charles Ashbacher

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In writing a book, one encounters and overcomes many obstacles. Not the least of which is the occasional case of writer’s block. This is especially true in mathematics where sometimes the answer is currently and may for all time be unknown.

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Topics: mathematics, Smarandache Notions