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Preprint Number 1812
1812. Johan Commelin, Philipp Habegger, Annette Huber Exponential periods and o-minimality I E-mail: Submission date: 16 July 2020 Abstract: Let α in ℂ be an exponential period. This is the
first part
of a pair of papers where we show that the real and imaginary part of
α
are up to signs volumes of sets definable in the o-minimal structure
generated
by ℚ, the real exponential function and sin|_{[0,1]}. Mathematics Subject Classification: 11G35, 14F25, 14F40, 14P10, 03C64 Keywords and phrases: |

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