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The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
Arithmetic functions Multiplicative functions Additive functions
2010/12/3
Inspired by Rearick (1968), we introduce two new operators, LOG and EXP.The LOG operates on generalized Fibonacci polynomials giving generalized Lucas polynomials.The EXP is the inverse of LOG.
Optimization of Positive Generalized Polynomials under $ \boldsymbol{l^p}$ Constraints
constrained optimization convex optimization combinatorial optimization subhomogeneous functions labeling
2009/1/23
The problem of maximizing a non-negative generalized polynomial of degree at most $p$ on the $l_p$-sphere is shown to be equivalent to a concave one. Arguments where the maximum is attained are charac...