Schanuel type conjectures and disjointness

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Main Authors: Isaac A., Broudy, Sebastian, Eterović
Format: Book
Language:English
Published: Springer 2023
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Online Access:https://link.springer.com/article/10.1007/s11139-023-00707-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7563
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spelling oai:localhost:PNK-75632023-04-05T06:53:29Z Schanuel type conjectures and disjointness Isaac A., Broudy Sebastian, Eterović subfield F of C GL2 on C CC BY Given a subfield F of C, we study the linear disjointess of the field E generated by iterated exponentials of elements of F¯¯¯¯, and the field L generated by iterated logarithms, in the presence of Schanuel’s conjecture. We also obtain similar results replacing exp by the modular j-function, under an appropriate version of Schanuel’s conjecture, where linear disjointness is replaced by a notion coming from the action of GL2 on C . We also show that for certain choices of F we obtain unconditional versions of these statements. 2023-04-05T06:53:29Z 2023-04-05T06:53:29Z 2023 Book https://link.springer.com/article/10.1007/s11139-023-00707-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7563 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic subfield F of C
GL2 on C
spellingShingle subfield F of C
GL2 on C
Isaac A., Broudy
Sebastian, Eterović
Schanuel type conjectures and disjointness
description CC BY
format Book
author Isaac A., Broudy
Sebastian, Eterović
author_facet Isaac A., Broudy
Sebastian, Eterović
author_sort Isaac A., Broudy
title Schanuel type conjectures and disjointness
title_short Schanuel type conjectures and disjointness
title_full Schanuel type conjectures and disjointness
title_fullStr Schanuel type conjectures and disjointness
title_full_unstemmed Schanuel type conjectures and disjointness
title_sort schanuel type conjectures and disjointness
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11139-023-00707-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7563
_version_ 1762365502399709184
score 8.891145