A note on the fourth moment of Dirichlet L-functions
H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Frédéric Bayart (2004)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2007)
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Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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A. Mallik (1981)
Acta Arithmetica
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Takashi Nakamura (2009)
Acta Arithmetica
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Uckath-Variyath Balakrishnan (1984)
Mathematische Zeitschrift
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A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
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Takuya Okamoto, Tomokazu Onozuka (2015)
Acta Arithmetica
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We give a method of obtaining explicit formulas for various mean values of Dirichlet L-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet L-functions, we also give an explicit formula for certain mean values of double Dirichlet L-functions.
W. Kleiner (1966)
Colloquium Mathematicae
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Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
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Hongfen Yuan, Valery V. Karachik (2022)
Czechoslovak Mathematical Journal
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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.
Hideaki Ishikawa (2001)
Acta Arithmetica
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Caixing Gu, Shuaibing Luo, Jie Xiao (2017)
Complex Manifolds
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This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7. The reducing subspaces of Mϕ on the Dirichlet space and Bergman space are related. Our strategy is to use local inverses and Riemann surfaces to study the reducing subspaces of Mϕ on the Bergman space. By this means, we determine the reducing subspaces of Mϕ on the Dirichlet space and answer some questions...