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math.NT2022
Determinants of matrices related to the Pascal triangle
Martín Mereb
In this note we prove an assertion made by M. Levin in 1999: the Pascal matrix modulo 2 has the property that each of the square sub-matrices laying on the upper border or on the l…
math.NT2008★ 5 cited
Algebraic Values of Transcendental Functions at Algebraic Points
Jingjing Huang, Diego Marques, Martin Mereb
In this paper, the authors will prove that any subset of $\overline{\QQ}$ can be the exceptional set of some transcendental entire function. Furthermore, we could generalize this t…
math.NT2008
Some consequences of Schanuel's Conjecture
Chuangxun Cheng, Brian Dietel, Mathilde Herblot +6
During the Arizona Winter School 2008 (held in Tucson, AZ) we worked on the following problems: a) (Expanding a remark by S. Lang). Define Inductively…