Uniform estimates for almost primes over finite fields
Elboim, D
Gorodetsky, O
Proceedings of the American Mathematical Society
volume 150
issue 7
2807-2822
(2022)
A platform trial design for preventive vaccines against Marburg virus and other emerging infectious disease threats
Longini, I
Yang, Y
Fleming, T
Muñoz-Fontela, C
Wang, R
Ellenberg, S
Qian, G
Halloran, M
Nason, M
De Gruttola, V
Mulangu, S
Huang, Y
Donnelly, C
Henao Restrepo, A
Clinical Trials
volume 19
issue 6
647-654
(22 Jul 2022)
A note on the snout
Fowler, A
Journal of Glaciology
volume 69
issue 273
211-216
(22 Jun 2022)
Deficiency, relation gap and two-dimensional groups
Kar, A
Nikolov, N
Journal of Topology and Analysis
volume 17
issue 1
131-141
(24 Jul 2023)
Potential automorphy over CM fields
Allen, P
Calegari, F
Caraiani, A
Gee, T
Helm, D
Le Hung, B
Newton, J
Scholze, P
Taylor, R
Thorne, J
Annals of Mathematics
volume 197
897-1113
(23 Mar 2023)
Amylase and esterase polymorphisms in economically important stored product mites (Acari: Astigmata)
Bowman, C
Lessiter, M
Comparative Biochemistry and Physiology Part B Comparative Biochemistry
volume 81
issue 2
353-360
(Jan 1985)
SMT-Based Reachability Analysis of High Dimensional Interval Max-Plus Linear Systems
Mufid, M
Adzkiya, D
Abate, A
IEEE Transactions on Automatic Control
volume 67
issue 6
2700-2714
(18 Jun 2021)
Profinite rigidity and free groups
Bridson, M
2313
volume 2313
233-240
(03 Aug 2023)
Thu, 16 Jun 2022
16:00 -
17:00
L4
Ax-Schanuel and exceptional integrability
Jonathan Pila
(University of Oxford)
Abstract
In joint work with Jacob Tsimerman we study when the primitive
of a given algebraic function can be constructed using primitives
from some given finite set of algebraic functions, their inverses,
algebraic functions, and composition. When the given finite set is just {1/x}
this is the classical problem of "elementary integrability".
We establish some results, including a decision procedure for this problem.