Bulletin of Symbolic Logic

Defining integers

Alexandra Shlapentokh

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This paper surveys the recent developments in the area that grew out of attempts to solve an analog of Hilbert's Tenth Problem for the field of rational numbers and the rings of integers of number fields. It is based on a plenary talk the author gave at the annual North American meeting of ASL at the University of Notre Dame in May of 2009.

Article information

Bull. Symbolic Logic Volume 17, Issue 2 (2011), 230-251.

First available in Project Euclid: 19 May 2011

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Digital Object Identifier

Primary: 11U03


Shlapentokh, Alexandra. Defining integers. Bull. Symbolic Logic 17 (2011), no. 2, 230--251. doi:10.2178/bsl/1305810912. https://projecteuclid.org/euclid.bsl/1305810912

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