63 citations · 310 across the 93 of their papers we have counts for
125 papers
D-finiteness, rationality, and height III: multivariate Pólya-Carlson dichotomy
Jason P. Bell, Shaoshi Chen, Khoa D. Nguyen +1
We prove a result that can be seen as an analogue of the Pólya-Carlson theorem for multivariate D-finite power series with coefficients in . In the special case t…
Invariant rational functions under rational transformations
Jason Bell, Rahim Moosa, Matthew Satriano
Let be an algebraic variety equipped with a dominant rational self-map . A new quantity measuring the interaction of with trivial dynamical systems is introdu…
Counting points by height in semigroup orbits
Jason P. Bell, Wade Hindes, Xiao Zhong
We improve known estimates for the number of points of bounded height in semigroup orbits of polarized dynamical systems. In particular, we give exact asymptotics for generic semig…
Quantitative estimates for the size of an intersection of sparse automatic sets
Seda Albayrak, Jason Bell
A theorem of Cobham says that if and are two multiplicatively independent natural numbers then a subset of the natural numbers that is both - and -automatic is…
Counterexamples to a Conjecture of Dombi in Additive Number Theory
Jason P. Bell, Jeffrey Shallit
We disprove a 2002 conjecture of Dombi from additive number theory. More precisely, we find examples of sets with the property that …
Quantum Grassmannians and their Associated Quantum Schubert Varieties at roots of unity
Jason P. Bell, Stéphane Launois, Alexandra Rogers
We study the PI degree of various quantum algebras at roots of unity, including quantum Grassmannians, quantum Schubert varieties, partition subalgebras, and their associated quant…