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The theory of Hardy's Z-function / Aleksandar Ivić

資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, 2013
形態:: xvii, 245 p. ; 24 cm
シリーズ名:: Cambridge tracts in mathematics ; 196 <BA00134372>
著者名:: Ivić, A., 1949- <DA01368524>
ISBN:: 9781107028838 [1107028833] (: hardback)
書誌ID:: BB10370437

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注記:

Includes bibliographical references (p. 225-238) and indexes

主題:

Hardy, G. H. (Godfrey Harold), 1877-1947

言語:

英語

目次情報:

Definition of ζ(s), Z(t) and basic notions / 1：

The zeros on the critical line / 2：

The Selberg class of L-functions / 3：

The approximate functional equations for ζk(s) / 4：

The derivatives of Z(t) / 5：

Gram points / 6：

The moments of Hardy's function / 7：

The primitive of Hardy's function / 8：

The Mellin transforms of powers of Z(t) / 9：

Further results on Mk(s)$ and Zk(s) / 10：

On some problems involving Hardy's function and zeta moments / 11：

References

Index

Definition of ζ(s), Z(t) and basic notions / 1：

The zeros on the critical line / 2：

The Selberg class of L-functions / 3：

The approximate functional equations for ζk(s) / 4：

The derivatives of Z(t) / 5：

Gram points / 6：

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1 図書 The Riemann zeta-function : the theory of the Riemann zeta-function with applications Ivić, A., 1949- Wiley	7 図書 Theory of functions Ritt, J. F. King's Crown Press
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