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math.AC2021
Multiplicative summations into algebraically closed fields
Robert J. MacG. Dawson, Grant Molnar
In this paper, extending our earlier program, we derive maximal canonical extensions for multiplicative summations into algebraically closed fields. We show that there is a well-de…
math.AC2021★ 1 cited
Telescopic, Multiplicative, and Rational Extensions of Summations
Robert Dawson, Grant Molnar
A summation is a shift-invariant -module homomorphism from a submodule of to or another ring. [11] formalized a method for extending a summation t…
math.NT2021★ 1 cited
Fast-growing series are transcendental
Robert Dawson, Grant Molnar
Let be a subring of , and let . The Newton-Puiseux Theorem implies that if the coefficients of grow sufficiently rapidly relative to…