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On some problems involving Hardy’s function

100%

Ivić A.

Open Mathematics

2010

tom 8

nr 6

1029-1040

Some problems involving the classical Hardy function $$ Z\left( t \right) = \zeta \left( {\frac{1} {2} + it} \right)\left( {\chi \left( {\frac{1} {2} + it} \right)} \right)^{ - {1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} , \zeta \left( s \right) = \chi \left( s \right) \zeta \left( {1 - s} \right) $$, are discussed. In particular we discuss the odd moments of Z(t) and the distribution of its positive and negative values.

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1 Open Mathematics

1 Ivić A.

1 2010

Wyniki wyszukiwania

On some problems involving Hardy’s function