Zobrazeno 1 - 10
of 14
pro vyhledávání: '"SU-ION IH"'
Autor:
Su-Ion Ih, Philipp Habegger
Publikováno v:
Transactions of the American Mathematical Society. 371:357-386
Let $ K$ be a number field with algebraic closure $ \overline K$, and let $ S$ be a finite set of places of $ K$ containing all the infinite ones. Let $ {\it\Gamma }_0$ be a finitely generated subgroup of $ {\mathbb{G}}_{\textup {m}} (\overline K)$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c88271014029e3c0ed6c6d499a28e484
https://doi.org/10.1090/tran/7238
https://doi.org/10.1090/tran/7238
Autor:
Su-Ion Ih
Publikováno v:
Journal of the Korean Mathematical Society. 52:955-964
Let K be a number field and let S be a finite set of primes of K containing all the infinite ones. Let �0 2 A 1 (K) � P 1 (K) and let 0 be the set of the images of �0 under especially all Chebyshev morphisms. Then for any � 2 A 1 (K), we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c110693a990f198ceaee6829acc2e615
https://doi.org/10.4134/jkms.2015.52.5.955
https://doi.org/10.4134/jkms.2015.52.5.955
Autor:
David Grant, Su-Ion Ih
Publikováno v:
Compositio Mathematica. 149:2011-2035
Let $k$ be a number field with algebraic closure $ \overline{k} $, and let $S$ be a finite set of primes of $k$ containing all the infinite ones. Let $E/ k$ be an elliptic curve, ${\mit{\Gamma} }_{0} $ be a finitely generated subgroup of $E( \overlin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::957c0adccf012e1aff92745f143b0958
https://doi.org/10.1112/s0010437x13007318
https://doi.org/10.1112/s0010437x13007318
Autor:
Su-Ion Ih
Publikováno v:
Journal of Number Theory. 131:750-780
Let k be a number field with algebraic closure k¯, and let S be a finite set of primes of k, containing all the infinite ones. Consider a Chebyshev dynamical system on P2. Fix the effective divisor D of P2 that is equal to a line nondegenerate on [
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::573ce2a0634c5975b260095f775e3611
https://doi.org/10.1016/j.jnt.2010.10.003
https://doi.org/10.1016/j.jnt.2010.10.003
Autor:
Su-Ion Ih
Publikováno v:
Journal of the London Mathematical Society. 83:691-710
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::935fdf8c4bd97bbc7578d88b18d72ed1
https://doi.org/10.1112/jlms/jdq097
https://doi.org/10.1112/jlms/jdq097
Autor:
Thomas J. Tucker, Su-Ion Ih
Publikováno v:
International Journal of Number Theory. :1011-1025
Let K be a number field with algebraic closure K-bar, let S be a finite set of places of K containing the archimedean places, and let f be a Chebyshev polynomial. We prove that if a in K-bar is not preperiodic, then there are only finitely many prepe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2ad1aaafcc4eac115751d27d90ccb45
https://doi.org/10.1142/s1793042110003356
https://doi.org/10.1142/s1793042110003356
Autor:
Su-Ion Ih
Publikováno v:
Journal of the Korean Mathematical Society. 45:1635-1646
Schanuel's formula describes the distribution of rational poi- nts on projective space. In this paper we will extend it to algebraic points of bounded degree in the case of P1. The estimate formula will also give an explicit error term which is quite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74573e1f58ea0624a4009757aa9b7e06
https://doi.org/10.4134/jkms.2008.45.6.1635
https://doi.org/10.4134/jkms.2008.45.6.1635
Autor:
HABEGGER, PHILIPP, SU-ION IH
Publikováno v:
Transactions of the American Mathematical Society; Jan2019, Vol. 371 Issue 1, p357-386, 30p
Autor:
Su-Ion Ih
Publikováno v:
Transactions of the American Mathematical Society. 358:1657-1675
We recall the result of D. Abramovich and its generalization by P. Pacelli on the uniformity for stably integral points on elliptic curves. It says that the Lang-Vojta conjecture on the distribution of integral points on a variety of logarithmic gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de6eacad5f916382c8f4e00d92f50af3
https://doi.org/10.1090/s0002-9947-05-03760-8
https://doi.org/10.1090/s0002-9947-05-03760-8
Autor:
Su-Ion Ih
Publikováno v:
Compositio Mathematica. 134:35-57
We recall the main result of L. Caporaso, J. Harris, and B. Mazur's 1997 paper of ‘Uniformity of rational points.’ It says that the Lang conjecture on the distribution of rational points on varieties of general type implies the uniformity for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49b49e622497fdfefe405109d56fb935
https://doi.org/10.1023/a:1020246809487
https://doi.org/10.1023/a:1020246809487