Journal article
Ax-Schanuel for the j-function
- Abstract:
- In this paper we prove a functional transcendence statement for the j-function which is an analogue of the Ax-Schanuel theorem for the exponential function. It asserts, roughly, that atypical algebraic relations among functions and their compositions with the j-function are governed by modular relations.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 314.7KB, Terms of use)
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- Publisher copy:
- 10.1215/00127094-3620005
Authors
- Publisher:
- Duke University Press
- Journal:
- Duke Mathematical Journal More from this journal
- Volume:
- 165
- Issue:
- 13
- Pages:
- 2587-2605
- Publication date:
- 2016-06-10
- Acceptance date:
- 2015-09-28
- DOI:
- Keywords:
- Pubs id:
-
pubs:502175
- UUID:
-
uuid:121d5d06-bc74-49c8-81c4-a5dfd380d7cc
- Local pid:
-
pubs:502175
- Source identifiers:
-
502175
- Deposit date:
-
2016-04-21
- ARK identifier:
Terms of use
- Copyright holder:
- Duke Mathematical Journal
- Copyright date:
- 2016
- Notes:
-
This is an
Accepted Manuscript of a journal article published by Duke University Press in Duke Mathetmatical Journal in 2016, available online: http://dx.doi.org/10.1215/00127094-3620005
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