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Arithmetic Gevrey series and transcendence. A survey. (English) Zbl 1136.11315
Summary: We review the main results of the theory of arithmetic Gevrey series introduced in [Ann. Math. (2) 151, No. 2, 705--740 (2000; Zbl 1037.11049), 151, No. 2, 741--756 (2000; Zbl 1037.11050)], their applications to transcendence, and a few diophantine conjectures on the summation of divergent series.

MSC:
11J81Transcendence (general theory)
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References:
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