From Schanuel's Conjecture to Shapiro's Conjecture
P. D'Aquino, A. Macintyre, G. Terzo
TL;DR
This paper proves Shapiro's 1958 Conjecture on exponential polynomials assuming the truth of Schanuel's Conjecture, linking two significant conjectures in transcendental number theory.
Contribution
It establishes a conditional proof of Shapiro's Conjecture based on Schanuel's Conjecture, advancing understanding in exponential polynomial theory.
Findings
Conditional proof of Shapiro's Conjecture
Links exponential polynomial conjecture to Schanuel's Conjecture
Progress in transcendental number theory
Abstract
In this paper we prove Shapiro's 1958 Conjecture on exponential polynomials, assuming Schanuel's Conjecture.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Identities · Functional Equations Stability Results