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
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.
参考文献7
-
1Mahler, K.: Arithmetische eigenschaften der lǒsungen einer klasse yon funktionalgleichungen. Math. Ann,101, 342-366 (1929). 被引量：1
-
2Mahler, K.: Uber das verschwinden von potenzreihen mehrerer veranderlichen in speziellen punktfolgen.Math. Ann., 103, 573-587 (1930). 被引量：1
-
3Mahler, K.: Arithmetische eigenschaften einer klasse transzendental-transzendenter funktionen. Math. Z.,32, 545-585 (1930). 被引量：1
-
4Nishioka, K.:Mahler functions and transcendence, Lect. Notes Math., 1631, Springer, Berlin, 1996. 被引量：1
-
5Nishioka, K., Tǒpfer, T.: Transcendence measures and nonlinear functional equations of Mahler type. Arch.Math. Conf., 57, 370-378 (1991). 被引量：1
-
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). 被引量：1
-
7Zhu, Y. C.i Xu G. S.. Introduction to transcendental numbers, Science Press, Beijing, 2003 (in Chinese). 被引量：1
-
1LIU Hua-ke,HAO Yun-xia.Transcendence for the Values of Mahler Type Function with Several Variables[J].Chinese Quarterly Journal of Mathematics,2010,25(2):191-197.
-
2白宇欣.m-增生算子的扰动[J].沈阳工业大学学报,2001,23(6):531-534.
-
3李波,欧阳才衡.HIGHER RADIAL DERIVATIVE OF BLOCH TYPE FUNCTIONS[J].Acta Mathematica Scientia,2002,22(4):433-445. 被引量：4
-
4朱尧辰,王连祥,徐广善.ON THE TRANSCENDENCE OF A CLASS OF SERIES——AN APPLICATION OF W. M. SCHMIDT'S THEOREM[J].Chinese Science Bulletin,1980,25(1):1-6.
-
5HUPENGYAN,SHIJIHUAI.RANDOM DIRICHLET TYPEFUNCTIONS ON THE UNIT BALL OF C^n[J].Chinese Annals of Mathematics,Series B,1999,20(3):369-376. 被引量：7
-
6Qiang wu,Ping ZHOU.Transcendence of some multivariate power series[J].Frontiers of Mathematics in China,2014,9(2):425-430.
-
7WANG Tian-qin,LIU Hua-ke.Algebraic Independence Measures for the Values of Mahler Type Functions[J].Chinese Quarterly Journal of Mathematics,2006,21(4):567-576.
-
8乐茂华.关于广义Thue－Mahler方程的解数[J].数学学报（中文版）,1996,39(2):156-159.
-
9Yonggao Chen Department of Mathematics,Nanjing Normal University,Nanjing 210097,P.R.ChinaYaochen Zhu Institute of Applied Mathematics,Academia Sinica,Beijing 100080,P.R.China.Algebraic Independence of Certain Numbers[J].Acta Mathematica Sinica,English Series,1999,15(4):507-514.
-
10李爽,王小攀.带有Beddington-DeAngelis类型功能反应函数的种群模型分析[J].新乡学院学报,2016,33(6):1-3.
