The joint value distribution of the Riemann zeta function and Hurwitz zeta functions II |
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Authors: | Hidehiko Mishou |
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Institution: | (1) Ube National College of Technology, 2-14-1 Tokiwadai, Ube-city Yamaguchi, 755-8555, Japan |
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Abstract: | In the previous paper 9] the author proved the joint limit theorem for the Riemann zeta function and the Hurwitz zeta function
attached with a transcendental real number. As a corollary, the author obtained the joint functional independence for these
two zeta functions. In this paper, we study the joint value distribution for the Riemann zeta function and the Hurwitz zeta
function attached with an algebraic irrational number. Especially we establish the weak joint functional independence for
these two zeta functions.
Received: 17 Apri1 2007 |
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Keywords: | 11M35 11M06 |
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