Journal of Symbolic Logic

On complex exponentiation restricted to the integers

Carlo Toffalori and Kathryn Vozoris

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We provide a first order axiomatization of the expansion of the complex field by the exponential function restricted to the subring of integers modulo the first order theory of (Z, +, ·).

Article information

J. Symbolic Logic, Volume 75, Issue 3 (2010), 955-970.

First available in Project Euclid: 9 July 2010

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03C60: Model-theoretic algebra [See also 08C10, 12Lxx, 13L05]

Complex exponentiation quasi minimality Tarski—Vaught test


Toffalori, Carlo; Vozoris, Kathryn. On complex exponentiation restricted to the integers. J. Symbolic Logic 75 (2010), no. 3, 955--970. doi:10.2178/jsl/1278682210.

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