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On roots of exponential terms
Author(s) -
Wolter Helmut
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390112
Subject(s) - mathematics , simple (philosophy) , exponential function , zero (linguistics) , variable (mathematics) , pure mathematics , discrete mathematics , calculus (dental) , mathematical analysis , epistemology , philosophy , linguistics , medicine , dentistry
In the present paper some tools are given to state the exact number of roots for some simple classes of exponential terms (with one variable). The result were obtained by generalizing Sturm's technique for real closed fields. Moreover for arbitrary non‐zero terms t ( x ) certain estimations concerning the location of roots of t ( x ) are given. MSC: 03C65, 03C60, 12L12.