AX-SCHANUEL FOR THE j-FUNCTION

被引：30
作者：
Pila, Jonathan [1 ]
Tsimerman, Jacob [2 ]
机构：
[1] Univ Oxford, Math Inst, Oxford, England
[2] Univ Toronto, Dept Math, Toronto, ON, Canada
来源：
DUKE MATHEMATICAL JOURNAL | 2016年 / 165卷 / 13期
基金：
加拿大自然科学与工程研究理事会; 英国工程与自然科学研究理事会;
关键词：
TRANSCENDENCE; FAMILIES; POINTS; FIELD;
D O I：
10.1215/00127094-3620005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove a functional transcendence statement for the j-function which is an analogue of the Ax-Schanuel theorem for the exponential function. It asserts, roughly, that atypical algebraic relations among functions and their compositions with the j-function are governed by modular relations.
引用
收藏
页码：2587 / 2605
页数：19
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