A generalization of Atkinson's formula to L-functions
Tom Meurman (1986)
Acta Arithmetica
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Tom Meurman (1986)
Acta Arithmetica
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Mike Shub, Steve Smale (1985)
Annales scientifiques de l'École Normale Supérieure
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Vikramaditya Singh (1980)
Mathematica Slovaca
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Per Sjölin (2004)
Collectanea Mathematica
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Generalized conjugate partial sums of Fourier series are used to find jumps of functions. The rate of convergence is studied and sharp results are obtained.
Nobushige Kurokawa, Masato Wakayama (2005)
Rendiconti del Seminario Matematico della Università di Padova
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A. Jones (1971)
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...