On -th order of a function of two complex variables analytic in the unit polydisc
Ratan Kumar Dutta (2012)
Kragujevac Journal of Mathematics
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Ratan Kumar Dutta (2012)
Kragujevac Journal of Mathematics
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Simić, Slavko (2008)
Novi Sad Journal of Mathematics
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Mironov, A.E. (2000)
Siberian Mathematical Journal
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Slavko Simić (2009)
Kragujevac Journal of Mathematics
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J. Herzog, P. R. Smith (1992)
Acta Arithmetica
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Alain Togbé (2006)
Journal de Théorie des Nombres de Bordeaux
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In this paper, we use Baker’s method, based on linear forms of logarithms, to solve a family of Thue equations associated with a family of number fields of degree 3. We obtain all solutions to the Thue equation for .
G. S. Srivastava, Sunita Rani (1992)
Annales Polonici Mathematici
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Let f(z), , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values and the iterated mean values of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).
Emmanuel Royer, Jie Wu (2007)
Journal de Théorie des Nombres de Bordeaux
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We compute the moments of -functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the -functions of modular forms. We show that, in the case of even powers, it is equivalent to twist by the value at the edge of the critical strip of the symmetric square -functions. We deduce information on the size of symmetric power -functions at the edge of the critical strip in subfamilies. In a second part, we study the distribution of...