On some problems involving Hardy’s function

• Autorzy: Aleksandar Ivić
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hardy’s function; Riemann zeta-function; Distribution of values

Kategorie tematyczne

• 11M06: ζ ( s ) and L ( s , χ )

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 1029-1040

Daty

wydano

2010-12-01

online

2010-10-30

Twórcy

autor

Aleksandar Ivić

• Universitet u Beogradu

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0071-y