ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES

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题名:	ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES
作者:	Chang,CY;Papanikolas,MA
贡献者:	數學系
关键词:	LINEAR INDEPENDENCE;GAMMA-VALUES;TRANSCENDENCE;MOTIVES
日期:	2011
上传时间:	2012-03-27 18:24:21 (UTC+8)
出版者:	國立中央大學
摘要:	For any rank 2 Drinfeld module rho defined over an algebraic function field, we consider its period matrix P(rho), which is analogous to the period matrix of an elliptic curve defined over a number field. Suppose that the characteristic of the finite field F(q) is odd and that rho does not have complex multiplication. We show that the transcendence degree of the field generated by the entries of P(rho) over F(q)(theta) is 4. As a consequence, we show also the algebraic independence of Drinfeld logarithms of algebraic functions which are linearly independent over F(q)(theta).
關聯:	AMERICAN JOURNAL OF MATHEMATICS
显示于类别:	[數學系] 期刊論文

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