Abstract
We give a partial answer to a question attributed to Chris Miller on algebraic values of certain transcendental functions of order less than one. We obtain $C(\log H)^{\unicode[STIX]{x1D702}}$ bounds for the number of algebraic points of height at most $H$ on certain subsets of the graphs of such functions. The constant $C$ and exponent $\unicode[STIX]{x1D702}$ depend on data associated with the functions and can be effectively computed from them.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. On algebraic values of Weierstrass $\sigma$-functions;Rendiconti Lincei - Matematica e Applicazioni;2022-02-21