%PDF-1.3
%
1 0 obj
<<
/Type /Catalog
/Pages 2 0 R
/PageLabels 3 0 R
/Metadata 4 0 R
>>
endobj
5 0 obj
<<
/Producer (PDFlib PLOP 2.1.0 \(sunOS\)/Acrobat Distiller 4.05 for Windows)
/ModDate (D:20220412203540+00'00')
/Author (Masanori Katsurada and Kohji Matsumoto)
/Title (Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III)
/Subject (Compositio Mathematica)
/Keywords (Riemann zeta function, Hurwitz zeta function, mean square, asymptotic expansion)
/CreationDate (D:20020429122823)
/Creator (3B2 Total Publishing System 7.51c/W)
>>
endobj
2 0 obj
<<
/Type /Pages
/Count 28
/Kids [6 0 R 7 0 R 8 0 R]
>>
endobj
3 0 obj
<<
/Nums [0 9 0 R 1 10 0 R]
>>
endobj
4 0 obj
<<
/Type /Metadata
/Subtype /XML
/Length 930
>>
stream
Not for further distribution unless allowed by the License or with the express written permission of Cambridge University Press.
https://doi.org/10.1023/A:1015585314625
https://doi.org/10.1023/A:1015585314625 Published online by Cambridge University Press
2022-04-12T20:35:40+00:00
endstream
endobj
6 0 obj
<<
/Type /Pages
/Count 10
/Parent 2 0 R
/Kids [11 0 R 12 0 R 13 0 R 14 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 20 0 R]
>>
endobj
7 0 obj
<<
/Type /Pages
/Count 10
/Parent 2 0 R
/Kids [21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R 27 0 R 28 0 R 29 0 R 30 0 R]
>>
endobj
8 0 obj
<<
/Type /Pages
/Count 8
/Parent 2 0 R
/Kids [31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R]
>>
endobj
9 0 obj
<<
/P (0)
>>
endobj
10 0 obj
<<
/S /D
>>
endobj
11 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 39 0 R
/Contents [40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R 48 0 R 49 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [50 0 R]
>>
endobj
12 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 51 0 R
/Contents [52 0 R 53 0 R 54 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [55 0 R]
>>
endobj
13 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 56 0 R
/Contents [57 0 R 58 0 R 59 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [60 0 R]
>>
endobj
14 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 61 0 R
/Contents [62 0 R 63 0 R 64 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [65 0 R]
>>
endobj
15 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 66 0 R
/Contents [67 0 R 68 0 R 69 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [70 0 R]
>>
endobj
16 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 71 0 R
/Contents [72 0 R 73 0 R 74 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [75 0 R]
>>
endobj
17 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 76 0 R
/Contents [77 0 R 78 0 R 79 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [80 0 R]
>>
endobj
18 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 81 0 R
/Contents [82 0 R 83 0 R 84 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [85 0 R]
>>
endobj
19 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 86 0 R
/Contents [87 0 R 88 0 R 89 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [90 0 R]
>>
endobj
20 0 obj
<<
/Type /Page
/Parent 6 0 R
/Resources 91 0 R
/Contents [92 0 R 93 0 R 94 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [95 0 R]
>>
endobj
21 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 96 0 R
/Contents [97 0 R 98 0 R 99 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [100 0 R]
>>
endobj
22 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 101 0 R
/Contents [102 0 R 103 0 R 104 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [105 0 R]
>>
endobj
23 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 106 0 R
/Contents [107 0 R 108 0 R 109 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [110 0 R]
>>
endobj
24 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 111 0 R
/Contents [112 0 R 113 0 R 114 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [115 0 R]
>>
endobj
25 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 116 0 R
/Contents [117 0 R 118 0 R 119 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [120 0 R]
>>
endobj
26 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 121 0 R
/Contents [122 0 R 123 0 R 124 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [125 0 R]
>>
endobj
27 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 126 0 R
/Contents [127 0 R 128 0 R 129 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [130 0 R]
>>
endobj
28 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 131 0 R
/Contents [132 0 R 133 0 R 134 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [135 0 R]
>>
endobj
29 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 136 0 R
/Contents [137 0 R 138 0 R 139 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [140 0 R]
>>
endobj
30 0 obj
<<
/Type /Page
/Parent 7 0 R
/Resources 141 0 R
/Contents [142 0 R 143 0 R 144 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [145 0 R]
>>
endobj
31 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 146 0 R
/Contents [147 0 R 148 0 R 149 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [150 0 R]
>>
endobj
32 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 151 0 R
/Contents [152 0 R 153 0 R 154 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [155 0 R]
>>
endobj
33 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 156 0 R
/Contents [157 0 R 158 0 R 159 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [160 0 R]
>>
endobj
34 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 161 0 R
/Contents [162 0 R 163 0 R 164 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [165 0 R]
>>
endobj
35 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 166 0 R
/Contents [167 0 R 168 0 R 169 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [170 0 R]
>>
endobj
36 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 171 0 R
/Contents [172 0 R 173 0 R 174 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [175 0 R]
>>
endobj
37 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 176 0 R
/Contents [177 0 R 178 0 R 179 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [180 0 R]
>>
endobj
38 0 obj
<<
/Type /Page
/Parent 8 0 R
/Resources 181 0 R
/Contents [182 0 R 183 0 R 184 0 R]
/MediaBox [0 0 595 842]
/CropBox [0 0 595 842]
/Rotate 0
/Annots [185 0 R]
>>
endobj
39 0 obj
<<
/ProcSet [/PDF /Text /ImageB]
/Font <<
/F1 186 0 R
/F2 187 0 R
/F3 188 0 R
/F4 189 0 R
/F5 190 0 R
/F6 191 0 R
/F7 192 0 R
/F8 193 0 R
/F9 194 0 R
/F10 195 0 R
>>
/XObject <<
/Im1 196 0 R
>>
/ExtGState <<
/GS1 197 0 R
>>
>>
endobj
40 0 obj
<<
/Filter /FlateDecode
/Length 10
>>
stream
x+ |
endstream
endobj
41 0 obj
<<
/Filter /FlateDecode
/Length 986
>>
stream
HUMoFEJ`Q$Yb_n]Z)kus* z!풒]Eaμyv~YnDWe)uuiuwR;ow'jmz;cEIkJ-zRk`6i|Ĺ^-HŷKf J,i@aܒ9SYÒǃl7>5ZBE
EVHqH!W|L>hqFBVAXޗMu,ߚƹҾBTyJX/m*@:.1'SRwMQ߯Vށ}/Fٲn{Q/
AhIwM joMm&]xKGחd?IpztrŚ_d,ϻl8K9bQMJT"B t {Eh7O"@̇P&PVY?CF_lh5b4
#6ǰ~6dM#8QrŭRIvmN]_&j{c/v,9uLqAfmZEi8$[wpPZsjSכ6y~u_2j_(NY!1n5z\sWKi3@{ynJ
\dg @Ch\qԨ^?Pg@l] C4뒬>k})V;>jeI# Zl
endstream
endobj
42 0 obj
<<
/Filter /FlateDecode
/Length 918
>>
stream
HUMo1I6K*HжjSw܀377_!ڞy3~of2W)t6?Ds1 FR$rm8kk1yNGs,~ruVnwng늭Hʵ퓸z_6wRYSq"}9Vɚ U#wV#_ pc"?
K=NGP_ 5)Ee쭰"flÜTm]X1IQZd"I$H4! 3z`pRXq&mH'xG~p` ϥ=Q}<%fpM[)`rLVfO+ub>'2qxo3IUIo
(N7LTTsgu0# %\^3 *0bLL{&tvz2Q{,Ǖ~x
ޣ{&~d
e#K+\L.mJ˒NlUe
+x'm
-lj'~g;o6?w 7٫~zGc]zRjxlg.ԫQww2+੨iWbU{-2/ϊj$T
h\*4r-WY!_&ns
^"8yN2>*-R2W2mˌ;ܗ%̖+`S8uD5~qD^n}'8VJ/Q[<{9HLĂJ<-=7g8,D#,^[+OͦNa蕮=t.IL:tvW+a}lDZCW̢2q4F9XI15
n|T?)Q-H+je0 vy#
endstream
endobj
43 0 obj
<<
/Filter /FlateDecode
/Length 892
>>
stream
HU=9E
C)n+VJ`(Rv,~d3%/^'cBw
m{
" <^C%{tj:RءO
M
R(~s<