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ON A TEMPERED XI FUNCTION ASSOCIATED WITH THE RIEMANN XI FUNCTION
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DOI：10.1142/S0218348X23401163.png)
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In this paper, we propose a tempered xi function obtained by the recombination of the decomposable functions for the Riemann xi function for the first time. We first obtain its functional equation and series representation. We then suggest three equivalent open problems for the zeros for it. We finally consider its behaviors on the critical line.
Keyword:
Tempered Xi Function
Riemann Xi Function
Functional Equation
Series Representation
Nontrivial Zeros
Critical Line
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2.9
论文数:
2.8K
被引数:
5.6K
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