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- W2892341834 abstract "A convolution is a mapping (mathcal{C}) of the set (Z^{+}) of positive integers into the set ({mathscr{P}}(Z^{+})) of all subsets of (Z^{+}) such that, for any (nin Z^{+}), each member of (mathcal{C}(n)) is a divisor of (n). If (mathcal{D}(n)) is the set of all divisors of (n), for any (n), then (mathcal{D}) is called the Dirichlet's convolution [2]. If (mathcal{U}(n)) is the set of all Unitary(square free) divisors of (n), for any (n), then (mathcal{U}) is called unitary(square free) convolution. Corresponding to any general convolution (mathcal{C}), we can define a binary relation (leq_{mathcal{C}}) on (Z^{+}) by `(mleq_{mathcal{C}}n) if and only if ( min mathcal{C}(n))'. In this paper, we present a characterization of regular convolution." @default.
- W2892341834 created "2018-09-27" @default.
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- W2892341834 date "2018-04-27" @default.
- W2892341834 modified "2023-09-24" @default.
- W2892341834 title "Characterization of regular convolutions" @default.
- W2892341834 hasPublicationYear "2018" @default.
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