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From Schanuel’s Conjecture to Shapiro’s Conjecture

From Schanuel's conjecture to Shapiro's conjecture
Authors: D'AQUINO, Paola; Macintyre A; TERZO, Giuseppina;

From Schanuel’s Conjecture to Shapiro’s Conjecture

Abstract

In this paper we prove Shapiro’s 1958 Conjecture on exponential polynomials, assuming Schanuel’s Conjecture.

Country
Italy
Keywords

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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    Top 10%
    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Top 10%
Average
Green
gold