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930729s1991 gw b 000 0 eng d |
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|a 3540547487 (Berlin)
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|a 0387547487 (N.Y.)
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|a (ICU)BID17335772
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|a (OCoLC)25429853
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|a MCS
|c MCS
|d CUY
|d FPU$dOrLoB
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|a Ivić, A.,
|d 1949-
|0 http://id.loc.gov/authorities/names/n80083143
|1 http://viaf.org/viaf/22225139
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|a Lectures on mean values of the Reimann zeta function /
|c by A. A. Ivic.
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260 |
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|a Berlin ;
|a New York :
|b Published for the Tata Institute of Fundamental Research [by] Springer-Verlag,
|c c1991.
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|a v, 363 p. ;
|c 25 cm.
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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|a Lectures on mathematics and physics.
|p Mathematics
|v 82
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500 |
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|a Lectures given at the Tata Institute of Fundamental Research in the summer of 1990.
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|a Includes bibliographical references (p. 350-363).
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|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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|a Fonctions zeta.
|2 ram
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|a Functions, Zeta.
|0 http://id.loc.gov/authorities/subjects/sh85052354
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650 |
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7 |
|a Functions, Zeta.
|2 fast
|0 http://id.worldcat.org/fast/fst00936136
|
710 |
2 |
0 |
|a Tata Institute of Fundamental Research
|0 http://id.loc.gov/authorities/names/n80144985
|1 http://viaf.org/viaf/144869046
|
740 |
0 |
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|a Mean values of the Riemann zeta function.
|
850 |
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|a ICU
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|a ToCBNA
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|a HeVa
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|a cat
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f |
f |
|i 92a0c524-a1b6-5288-bb40-dac8c7ac8ea1
|s bee5a895-4611-5e84-8b9b-2d3c546fbc8a
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|t Library of Congress classification
|a QA246.I938 1991
|l ASR
|c ASR-SciASR
|i 2816567
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927 |
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|t Library of Congress classification
|a QA246.I938 1991
|l ASR
|c ASR-SciASR
|e CRERAR
|b 39103732
|i 2875239
|