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Divisor concepts
for mosaics of integers
Kristen Bildhauser, Jared Erickson, Cara Tacoma and Rick Gillman
Vol. 2 (2009), No. 1, 65–78
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Abstract |
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The mosaic of the integer is the array of prime numbers resulting from iterating the Fundamental Theorem of Arithmetic on and on any resulting composite exponents. In this paper, we generalize several number theoretic functions to the mosaic of , first based on the primes of the mosaic, second by examining several possible definitions of a divisor in terms of mosaics. Having done so, we examine properties of these functions. |
Keywords
number theory, mosaic, factorization
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Mathematical Subject Classification 2000
Primary: 11A99, 11A25, 11A05
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Milestones
Received: 8 February 2008
Accepted: 20 July 2008
Published: 18 March 2009
Communicated by Andrew Granville
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Authors |
| Kristen Bildhauser | |
| Saint Mary’s College Notre Dame, IN 46556 United States |
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| Jared Erickson | |
| School of Engineering and Applied
Science Northwestern University 2145 Sheridan Road Room C210 Evanston, IL 60208 United States |
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| Cara Tacoma | |
| Trinity Christian College Palos Heights, IL 60463 United States |
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| Rick Gillman | |
| Valparaiso University Valparaiso, IN 46383 United States |
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