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- W58832624 abstract "Factorization results in multisets of primes and this mapping can be turned into a bijection between multisets of natural numbers and natural numbers. At the same time, simpler and more efficient bijections exist that share some interesting properties with the bijection derived from factorization.This paper describes mechanisms to emulate properties of prime numbers through isomorphisms connecting them to computationally simpler representations involving bijections from natural numbers to multisets of natural numbers.As a result, interesting automorphisms of N and emulations of the rad, Mobius and Mertens functions emerge in the world of our much simpler multiset representations.The paper is organized as a self-contained literate Haskell program. The code extracted from the paper is available as a standalone program at http://logic.cse.unt.edu/tarau/research/2011/mprimes.hs." @default.
- W58832624 created "2016-06-24" @default.
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- W58832624 date "2011-01-01" @default.
- W58832624 modified "2023-09-26" @default.
- W58832624 title "Emulating Primality with Multiset Representations of Natural Numbers" @default.
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- W58832624 doi "https://doi.org/10.1007/978-3-642-23283-1_15" @default.
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