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- W1982068292 abstract "Pour σ dans la bandre critique 1/2 < a < 1, on note E σ (T) le terme d'erreur de la formule asymptotique de ∫ T 1 |ξ(σ+it)| 2 + it)| 2 dt (pour T grand). C'est un analogue du terme d'erreur classique E(T) (= E 1/2 (T)). L'etude de E(T) a une longue histoire, mais celle de E σ (T) est assez recente. En particulier, lorsque 3/4 < a < 1, on connait peu d'informations sur E σ (T). Pour en gagner, nous etudions la moyenne ∫ T 1 E σ (u) du. Dans cet article, nous donnons une expression en serie de type Atkinson et explorons quelques une des proprietes de la moyenne comme fonction en T." @default.
- W1982068292 created "2016-06-24" @default.
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- W1982068292 date "2006-01-01" @default.
- W1982068292 modified "2023-10-18" @default.
- W1982068292 title "A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip 3/4le sigma < 1" @default.
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- W1982068292 doi "https://doi.org/10.5802/jtnb.553" @default.
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