A new approach to the spectral theory of the fourth moment of the Riemann zeta-function

Roelof W. Bruggeman; Yoichi Motohashi

doi:10.1515/crll.2005.2005.579.75

A new approach to the spectral theory of the fourth moment of the Riemann zeta-function

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2005.2005.579.75 ◽

2005 ◽

Vol 2005 (579) ◽

pp. 75-114 ◽

Cited By ~ 7

Author(s):

Roelof W. Bruggeman ◽

Yoichi Motohashi

Keyword(s):

Zeta Function ◽

Spectral Theory ◽

Riemann Zeta Function ◽

Fourth Moment ◽

New Approach ◽

The Riemann Zeta Function ◽

Riemann Zeta

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On the Error Term for the Fourth Moment of the Riemann Zeta-Function

Journal of the London Mathematical Society ◽

10.1112/s0024610799007590 ◽

1999 ◽

Vol 60 (1) ◽

pp. 21-32 ◽

Cited By ~ 2

Author(s):

Aleksandar Ivić

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Error Term ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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The twisted fourth moment of the Riemann zeta function

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle.2010.034 ◽

2010 ◽

Vol 2010 (641) ◽

Cited By ~ 2

Author(s):

C. P. Hughes ◽

Matthew P. Young

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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Spectral Theory of the Riemann Zeta-Function

10.1017/cbo9780511983399 ◽

1997 ◽

Cited By ~ 43

Author(s):

Yoichi Motohashi

Keyword(s):

Zeta Function ◽

Spectral Theory ◽

Riemann Zeta Function ◽

The Riemann Zeta Function ◽

Riemann Zeta

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On the Fourth Moment of the Riemann Zeta Function

International Mathematics Research Notices ◽

10.1093/imrn/rnq268 ◽

2010 ◽

Author(s):

Q. Zhang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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On a Hybrid Fourth Moment Involving the Riemann Zeta-Function

Topics in Mathematical Analysis and Applications - Springer Optimization and Its Applications ◽

10.1007/978-3-319-06554-0_19 ◽

2014 ◽

pp. 461-482 ◽

Cited By ~ 1

Author(s):

Aleksandar Ivić ◽

Wenguang Zhai

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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On the integral of the error term in the fourth moment of the Riemann zeta-function

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/1538186687 ◽

2000 ◽

Vol 28 (0) ◽

pp. 105-116 ◽

Cited By ~ 1

Author(s):

Aleksandar Ivić

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Error Term ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios

Inventiones mathematicae ◽

10.1007/s00222-016-0669-1 ◽

2016 ◽

Vol 207 (1) ◽

pp. 23-113 ◽

Cited By ~ 5

Author(s):

Reda Chhaibi ◽

Joseph Najnudel ◽

Ashkan Nikeghbali

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

New Approach ◽

The Riemann Zeta Function ◽

Riemann Zeta ◽

Unitary Ensemble

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The Moments of the Riemann Zeta-Function Part I: The fourth moment off the critical line

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/1229442621 ◽

2006 ◽

Vol 35 (0) ◽

pp. 133-181

Author(s):

Aleksandar Ivić ◽

Yoichi Motohashi

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Critical Line ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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Fourth Moment of the Riemann Zeta-function with a Shift along the Real Line

Tokyo Journal of Mathematics ◽

10.3836/tjm/1391177976 ◽

2013 ◽

Vol 36 (2) ◽

pp. 355-377 ◽

Cited By ~ 4

Author(s):

Shun SHIMOMURA

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Real Line ◽

Fourth Moment ◽

The Real ◽

The Riemann Zeta Function ◽

Riemann Zeta

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Shifted fourth moment of the Riemann zeta-function

Acta Mathematica Hungarica ◽

10.1007/s10474-012-0203-x ◽

2012 ◽

Vol 137 (1-2) ◽

pp. 104-129

Author(s):

Shun Shimomura

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Fourth Moment ◽

The Riemann Zeta Function ◽

Riemann Zeta

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