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Zilber–Pink for raising to the power $i$

Jonathan Pila
Vol. 3 (2024), No. 2, 625–645
DOI: 10.2140/mt.2024.3.625
Abstract

We consider the multivalued raising-to-the-power-i function through the Schanuel–Ax–Zilber lens. We formulate and prove an analogue of the Zilber–Pink conjecture.

Keywords
Zilber–Pink conjecture, Schanuel's conjecture
Mathematical Subject Classification
Primary: 03C65, 11J91, 14G99
Milestones
Received: 25 November 2022
Revised: 23 February 2023
Accepted: 29 March 2023
Published: 19 July 2024
Authors
Jonathan Pila
Mathematical Institute
University of Oxford
Oxford
United Kingdom
© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).