On a certain additive function on the Gaussian integers
Piotr Zarzycki (1989)
Acta Arithmetica
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Piotr Zarzycki (1989)
Acta Arithmetica
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Emil Grosswald (1975)
Acta Arithmetica
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Yuichi Kamiya (1998)
Acta Arithmetica
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Jerzy Kaczorowski (1987)
Acta Arithmetica
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Arturo Fernández Arias, Francisco Rodríguez Mateos (1996)
Publicacions Matemàtiques
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A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.
Tom Meurman (1986)
Acta Arithmetica
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K. Chandrasekharan, H. Joris (1973)
Acta Arithmetica
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Andreas Guthmann (1997)
Acta Arithmetica
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Introduction. The recent discovery of an analogue of the Riemann-Siegel integral formula for Dirichlet series associated with cusp forms [2] naturally raises the question whether similar formulas might exist for other types of zeta functions. The proof of these formulas depends on the functional equation for the underlying Dirichlet series. In both cases, for ζ(s) and for the cusp form zeta functions, only a simple gamma factor is involved. The next simplest case arises when two such...
Hugh Montgomery (1980)
Acta Arithmetica
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