Lectures on mean values of the Reimann zeta function /

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Bibliographic Details
Author / Creator:Ivić, A., 1949-
Imprint:Berlin ; New York : Published for the Tata Institute of Fundamental Research [by] Springer-Verlag, c1991.
Description:v, 363 p. ; 25 cm.
Language:English
Series:Lectures on mathematics and physics. Mathematics 82
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1487062
Hidden Bibliographic Details
Other title:Mean values of the Riemann zeta function.
Other authors / contributors:Tata Institute of Fundamental Research
ISBN:3540547487 (Berlin)
0387547487 (N.Y.)
Notes:Lectures given at the Tata Institute of Fundamental Research in the summer of 1990.
Includes bibliographical references (p. 350-363).

MARC

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300 |a v, 363 p. ;  |c 25 cm. 
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440 0 |a Lectures on mathematics and physics.  |p Mathematics  |v 82 
500 |a Lectures given at the Tata Institute of Fundamental Research in the summer of 1990. 
504 |a Includes bibliographical references (p. 350-363). 
505 0 0 |g Ch. I.  |t Elementary Theory.  |g 1.1.  |t Basic properties of [zeta](s).  |g 1.2.  |t Elementary mean value theorems.  |g 1.3.  |t Bounds over short intervals.  |g 1.4.  |t Lower bounds for mean values over short intervals --  |g Ch. II.  |t The Error Terms in Mean Square Formulas.  |g 2.1.  |t The mean square formulas.  |g 2.2.  |t The beginning of proof.  |g 2.3.  |t Transformation of the expressions for the error terms.  |g 2.4.  |t Evaluation of some exponential integrals.  |g 2.5.  |t Completion of the proof of the mean square formulas.  |g 2.6.  |t The mean square formula for E(T).  |g 2.7.  |t The upper bounds for the error terms.  |g 2.8.  |t Asymptotic mean square of the product of the zeta-function and a Dirichlet polynomial --  |g Ch. III.  |t The Integrals of the Error Terms in Mean Square Formulas.  |g 3.1.  |t The formulas for the integrated error terms.  |g 3.2.  |t The omega-results.  |g 3.3.  |t The mean square formulas.  |g 3.4.  |t The zeros of E(T) - [pi].  |g 3.5.  |t Some other results --  |g Ch. IV.  |t A General Study of Even Moments.  |g 4.1.  |t The error term for the 2k-th moment.  |g 4.2.  |t The approximate functional equation.  |g 4.3.  |t Evaluation of I[subscript k](T).  |g 4.4.  |t Evaluation of the first main term.  |g 4.5.  |t The mean square formula.  |g 4.6.  |t The fourth power moment.  |g 4.7.  |t The sixth power moment --  |g Ch. V.  |t Motohashi's Formula for the Fourth Moment.  |g 5.1.  |t Introduction and statement of results.  |g 5.2.  |t Analytic continuation.  |g 5.3.  |t Application of spectral theory and Kuznetsov's trace formula.  |g 5.4.  |t Further analytic continuation and the explicit formula.  |g 5.5.  |t Deductions from the explicit formula.  |g 5.6.  |t Upper bounds.  |g 5.7.  |t The omega-result --  |g Ch. VI.  |t Fractional Mean Values.  |g 6.1.  |t Upper and lower bounds for fractional mean values.  |g 6.2.  |t An asymptotic formula for mean values.  |g 6.3.  |t The value distribution on the critical line.  |g 6.4.  |t Mean values over short intervals. 
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740 0 1 |a Mean values of the Riemann zeta function. 
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928 |t Library of Congress classification  |a QA246.I938 1991  |l ASR  |c ASR-SciASR  |i 2816567 
927 |t Library of Congress classification  |a QA246.I938 1991  |l ASR  |c ASR-SciASR  |e CRERAR  |b 39103732  |i 2875239