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p-adic Transcendence and p-adic Transcendence Measures for the Values of Mahler Type Functions 被引量:2

p-adic Transcendence and p-adic Transcendence Measures for the Values of Mahler Type Functions
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摘要 We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions. We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions.
作者 Tian Qin WANG
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期187-194,共8页 数学学报(英文版)
关键词 p-adic transcendence p-adic transcendence measure Mahler type function p-adic transcendence, p-adic transcendence measure, Mahler type function
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参考文献7

  • 1Mahler, K.: Arithmetische eigenschaften der lǒsungen einer klasse yon funktionalgleichungen. Math. Ann,101, 342-366 (1929).
  • 2Mahler, K.: Uber das verschwinden von potenzreihen mehrerer veranderlichen in speziellen punktfolgen.Math. Ann., 103, 573-587 (1930).
  • 3Mahler, K.: Arithmetische eigenschaften einer klasse transzendental-transzendenter funktionen. Math. Z.,32, 545-585 (1930).
  • 4Nishioka, K.:Mahler functions and transcendence, Lect. Notes Math., 1631, Springer, Berlin, 1996.
  • 5Nishioka, K., Tǒpfer, T.: Transcendence measures and nonlinear functional equations of Mahler type. Arch.Math. Conf., 57, 370-378 (1991).
  • 6Molchanov,S. M.: On the p-adic measure for the values of functions satisfying some functional equations.Vestn. Mosk. Univ., Set. Mat., 38(2), 31-37 (1983).
  • 7Zhu, Y. C.i Xu G. S.. Introduction to transcendental numbers, Science Press, Beijing, 2003 (in Chinese).

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