
arXiv: 1206.6747
handle: 11588/826493 , 11591/198240
In this paper we prove Shapiro’s 1958 Conjecture on exponential polynomials, assuming Schanuel’s Conjecture.
anomalous varieties, Mathematics - Number Theory, Model-theoretic algebra, Shapiro's conjecture, Mathematics - Logic, Model theory (number-theoretic aspects), Schanuel's conjecture, Zilber's fields, Exponential fields, Anomalous varieties; Exponential fields; Schanuel's conjecture; Shapiro's conjecture; Zilber's fields, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), exponential fields, FOS: Mathematics, Number Theory (math.NT), Logic (math.LO), Anomalous varieties
anomalous varieties, Mathematics - Number Theory, Model-theoretic algebra, Shapiro's conjecture, Mathematics - Logic, Model theory (number-theoretic aspects), Schanuel's conjecture, Zilber's fields, Exponential fields, Anomalous varieties; Exponential fields; Schanuel's conjecture; Shapiro's conjecture; Zilber's fields, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), exponential fields, FOS: Mathematics, Number Theory (math.NT), Logic (math.LO), Anomalous varieties
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