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This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2000.10.6) 14 NOV 2001 13:37 **short.tex (short.tex LaTeX2e <1998/12/01> patch level 1 Babel <v3.6x> and hyphenation patterns for american, russian, ukrainian, nohyph enation, loaded. (/usr/share/texmf/tex/latex/base/latex209.def File: latex209.def 1998/05/13 v0.52 Standard LaTeX file Entering LaTeX 2.09 COMPATIBILITY MODE ************************************************************* !!WARNING!! !!WARNING!! !!WARNING!! !!WARNING!! This mode attempts to provide an emulation of the LaTeX 2.09 author environment so that OLD documents can be successfully processed. It should NOT be used for NEW documents! New documents should use Standard LaTeX conventions and start with the \documentclass command. Compatibility mode is UNLIKELY TO WORK with LaTeX 2.09 style files that change any internal macros, especially not with those that change the FONT SELECTION or OUTPUT ROUTINES. Therefore such style files MUST BE UPDATED to use Current Standard LaTeX: LaTeX2e. If you suspect that you may be using such a style file, which is probably very, very old by now, then you should attempt to get it updated by sending a copy of this error message to the author of that file. ************************************************************* \footheight=\dimen102 \@maxsep=\dimen103 \@dblmaxsep=\dimen104 \@cla=\count79 \@clb=\count80 \mscount=\count81 (/usr/share/texmf/tex/latex/base/tracefnt.sty Package: tracefnt 1997/05/29 v3.0j Standard LaTeX package (font tracing) \tracingfonts=\count82 LaTeX Info: Redefining \selectfont on input line 83. ) \symbold=\mathgroup4 \symsans=\mathgroup5 \symtypewriter=\mathgroup6 \symitalic=\mathgroup7 \symsmallcaps=\mathgroup8 \symslanted=\mathgroup9 LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 275. LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 276. LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 277. LaTeX Font Info: Redeclaring math alphabet \mathit on input line 283. LaTeX Info: Redefining \em on input line 293. (/usr/share/texmf/tex/latex/base/latexsym.sty Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) \symlasy=\mathgroup10 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 29. ) LaTeX Font Info: Redeclaring math delimiter \lgroup on input line 357. LaTeX Font Info: Redeclaring math delimiter \rgroup on input line 359. LaTeX Font Info: Redeclaring math delimiter \bracevert on input line 361. (/usr/share/texmf/tex/latex/config/latex209.cfg) (/usr/share/texmf/tex/latex/tools/rawfonts.sty Package: rawfonts 1994/05/08 Low-level LaTeX 2.09 font compatibility (/usr/share/texmf/tex/latex/tools/somedefs.sty Package: somedefs 1994/06/01 Toolkit for optional definitions ) LaTeX Font Info: Try loading font information for U+lasy on input line 34. (/usr/share/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2eLaTeX symbol font definitions ))) (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 1999/01/07 v1.4a Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo File: size12.clo 1999/01/07 v1.4a Standard LaTeX file (size option) ) \c@part=\count83 \c@section=\count84 \c@subsection=\count85 \c@subsubsection=\count86 \c@paragraph=\count87 \c@subparagraph=\count88 \c@figure=\count89 \c@table=\count90 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 Compatibility mode: definition of \rm ignored. Compatibility mode: definition of \sf ignored. Compatibility mode: definition of \tt ignored. Compatibility mode: definition of \bf ignored. Compatibility mode: definition of \it ignored. Compatibility mode: definition of \sl ignored. Compatibility mode: definition of \sc ignored. LaTeX Info: Redefining \cal on input line 488. LaTeX Info: Redefining \mit on input line 489. \bibindent=\dimen105 ) ! Undefined control sequence. <argument> \undefinedpagestyle l.5 \pagestyle{normal} ? \c@pr=\count91 \c@de=\count92 \c@th=\count93 \c@lem=\count94 \c@re=\count95 (short.aux LaTeX Warning: Label `14' multiply defined. ) \openout1 = `short.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 19. LaTeX Font Info: ... okay on input line 19. LaTeX Font Info: External font `cmex10' loaded for size (Font) <14.4> on input line 20. LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 20. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 20. Underfull \hbox (badness 10000) in paragraph at lines 22--24 [] LaTeX Font Info: External font `cmex10' loaded for size (Font) <12> on input line 28. LaTeX Font Info: External font `cmex10' loaded for size (Font) <8> on input line 28. LaTeX Font Info: External font `cmex10' loaded for size (Font) <6> on input line 28. [1 ] Underfull \hbox (badness 10000) in paragraph at lines 69--72 [] [2] [3] [4] Overfull \hbox (9.58923pt too wide) detected at line 224 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 Im\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 t:f:e:\OT 1/cmr/m/n/12 )) \OML/cmm/m/it/12 Im\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^P[]\OT1/ cmr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )) = [][](\OML/cmm/m/it/12 x[] \O MS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 sin\OT 1/cmr/m/n/12 ([])\OML/cmm/m/it/12 ^^R\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cm r/m/n/12 )\OML/cmm/m/it/12 dx \OMS/cmsy/m/n/12 ^^@ []\OT1/cmr/m/n/12 ; [] [5] Overfull \hbox (1.3572pt too wide) detected at line 257 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 R:h:f:e[]\OT1/cmr/m/n/12 ) \OML/cmm/m/it/12 Im\OT1/cmr/m/n/12 ([](\OML/cmm/m/it/12 F[]^^P\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 g\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )) + (\OML/cmm/m/it/12 F []^^P\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 c\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 g\OT 1/cmr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 ))) = []\OML/cmm/m/it/12 I\OT 1/cmr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 : [] [6] [7] [8] Overfull \hbox (13.61829pt too wide) in paragraph at lines 406--414 \OT1/cmr/m/n/12 three con-di-tions : $(\OML/cmm/m/it/12 i\OT1/cmr/m/n/12 )\OML/ cmm/m/it/12 D[] \OT1/cmr/m/n/12 = 1\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (\OML/cmm /m/it/12 ii\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 support\OT1/cmr/m/n/12 (\OML/cmm/m /it/12 D[]\OT1/cmr/m/n/12 )(0) \OMS/cmsy/m/n/12 ^^Z \OT1/cmr/m/n/12 [\OMS/cmsy/ m/n/12 ^^@\OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 1]$ and $(\OML/cm m/m/it/12 iii\OT1/cmr/m/n/12 ) [][] \OML/cmm/m/it/12 D[]\OT1/cmr/m/n/12 (\OML/c mm/m/it/12 t\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dt \OMS/cmsy/m/n/12 ^^T [] [9] [10] [11] LaTeX Font Info: External font `cmex10' loaded for size (Font) <17.28> on input line 526. Overfull \hbox (17.1278pt too wide) in paragraph at lines 526--526 []\OT1/cmr/bx/n/17.28 Three im-por-tant trans-forms : Mellin, Fourier [] [12] Underfull \hbox (badness 10000) in paragraph at lines 586--588 [] [13] [14] [15] Overfull \hbox (30.05247pt too wide) detected at line 736 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 CH:R:f:e\OT1/cmr/m/n/12 ) (^^@(\OML/cmm/m/it /12 G\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ^^P\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 s\ OT1/cmr/m/n/12 ) = [] + [][](\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \OML/cmm/ m/it/12 x[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ^^R\OT1/cmr/m/n/12 (\OML/cmm/m/it/ 12 G\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dx\OT 1/cmr/m/n/12 ; \OML/cmm/m/it/12 s \OMS/cmsy/m/n/12 2 [] ^^@ f\OT1/cmr/m/n/12 0\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 1\OMS/cmsy/m/n/12 g\OML/cmm/m/it/12 : [] [16] Overfull \hbox (12.09584pt too wide) detected at line 816 [] [][] \OMS/cmsy/m/n/12 j \OML/cmm/m/it/12 F[]omega\OT1/cmr/m/n/12 (\OML/cmm/m /it/12 nx\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 x[] \OMS/cmsy/m/n/12 j \OML/cmm/m/it /12 dx \OT1/cmr/m/n/12 = [] [][] \OMS/cmsy/m/n/12 j \OML/cmm/m/it/12 F[]\OT1/cm r/m/n/12 (\OML/cmm/m/it/12 nx\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 j \OML/cmm/m/it /12 x[]dx \OT1/cmr/m/n/12 = ^^@(\OMS/cmsy/m/n/12 j \OML/cmm/m/it/12 F[] \OMS/cm sy/m/n/12 j\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 u\OT1/cmr/m/n/12 )\OML/cmm/m/it/1 2 ^^P\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 u\OT1/cmr/m/n/12 ) [] [17] Overfull \hbox (6.3142pt too wide) detected at line 850 \OT1/cmr/m/n/12 (^^@(\OML/cmm/m/it/12 F[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ^^P\ OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 ) + (^^@(\OML/cmm/m/it/12 F[ ]^^P\OT1/cmr/m/n/12 )(1 \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 s\OT1/cmr/m/n/12 ) = [] + [][](\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 x[]\OT1/c mr/m/n/12 )\OML/cmm/m/it/12 ^^R\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 F[] \OT1/cmr/m /n/12 + [])(\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dx: [] [18] Overfull \hbox (100.47252pt too wide) detected at line 902 \OMS/cmsy/m/n/12 F[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 AsinL[]\OT1/cmr/m/n/12 ) = [][] \OML/cmm/m/it/12 A\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 ) \OML/cmm/m/it/12 sin\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ax\OT1/cmr/m/n/12 )\OML/c mm/m/it/12 dx \OT1/cmr/m/n/12 = [] [][] \OML/cmm/m/it/12 A\OT1/cmr/m/n/12 (\O ML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 sin\OT1/cmr/m/n/12 (\OML/cmm/ m/it/12 ax\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dx \OT1/cmr/m/n/12 = ([](\OMS/cms y/m/n/12 ^^@\OT1/cmr/m/n/12 1)[]\OML/cmm/m/it/12 A\OT1/cmr/m/n/12 (\OML/cmm/m/i t/12 x[]\OT1/cmr/m/n/12 ))\OML/cmm/m/it/12 P\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 a \OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] [19] Overfull \hbox (5.78978pt too wide) in paragraph at lines 960--973 []\OT1/cmr/m/it/12 The Fox in-te-gral equa-tions can be solved \OT1/cmr/bx/n/12 al-ge-braically \OT1/cmr/m/it/12 by us-ing the \OT1/cmr/bx/n/12 Mellin [] [20] [21] [22] Overfull \hbox (78.90613pt too wide) detected at line 1108 \OT1/cmr/m/n/12 = [] \OMS/cmsy/m/n/12 ^^A [] [][]\OT1/cmr/m/n/12 (\OML/cmm/m/it /12 Mg[]\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 x []ds \OT1/cmr/m/n/12 + [] \OMS/cmsy/m/n/12 ^^A [] [][]\OT1/cmr/m/n/12 (\OML/cmm /m/it/12 Mg[]\OT1/cmr/m/n/12 (1 \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 s\OT1/cmr /m/n/12 )(2\OML/cmm/m/it/12 ^^Y\OT1/cmr/m/n/12 )[]\OML/cmm/m/it/12 cos[]\OT1/cm r/m/n/12 ^^@(\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 x[]ds\OT1/cmr/ m/n/12 )\OML/cmm/m/it/12 : [] [23] Overfull \hbox (4.24586pt too wide) in paragraph at lines 1134--1134 []\OT1/cmr/bx/n/17.28 From (RH)-quasi-fixed to (RH)-fixed points [] [24] Overfull \hbox (15.27066pt too wide) in paragraph at lines 1189--1192 []\OT1/cmr/m/n/12 The mea-sure $\OML/cmm/m/it/12 ^^V[]$ \OT1/cmr/m/n/12 is the \OT1/cmr/bx/n/12 in-vari-ant mea-sure \OT1/cmr/m/n/12 of the \OT1/cmr/bx/n/12 t opologically-dynamical [] Overfull \hbox (9.65167pt too wide) in paragraph at lines 1205--1211 []\OT1/cmr/m/it/12 According to the clas-si-cal \OT1/cmr/bx/n/12 Bogoluboff-Kri loff the-o-rem \OT1/cmr/m/it/12 (cf.[BK]) [] [25] [26] [27] [28] [29] [30] [31] Overfull \hbox (28.88406pt too wide) detected at line 1539 \OML/cmm/m/it/12 D[]f\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 ) = [ ][] \OMS/cmsy/m/n/12 j \OML/cmm/m/it/12 ^^X \OMS/cmsy/m/n/12 j[] []\OT1/cmr/m/n /12 (\OML/cmm/m/it/12 ^^X\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ^^_[]\OT1/cmr/m/n/12 (\OMS/cmsy/m/n/12 ^^@\OML/cmm/m/it/12 ^^Xx\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 H[ ]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 d^^X\OT1/cmr/m/n/12 ) = = [] [][] []\OML/cm m/m/it/12 H[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 dy\OT1/cmr/m/n/12 )\OML/cmm/m/it /12 ; [] ! Undefined control sequence. l.1580 ...Delta_{H}(h)\;\;=\;\;\mid h\mid^{4}_{\LH }. ? [32] ! Undefined control sequence. <recently read> \LH l.1589 \begin{pr} ({\bf The existence of the $\LH $-profile of a wing of a plane ? ! Undefined control sequence. l.1592 $r\in X_{\LH }(M,N)$ with $N>M>0$ the following Abstract Hodge ? ! Undefined control sequence. l.1595 \;\Delta_{\LH }^{-1}(l^{2})\;=\;\int_{S^{3}}\frac{dR(y)}{\Delta(r^{2}-... ? [33] Runaway argument? { \mid \mid l-y \mid \mid _{6}^{4} \;+\;h(l). \end {equation} On the \ETC. ! Paragraph ended before \frac was complete. <to be read again> \par l.1691 ? ! Missing $ inserted. <inserted text> $ l.1691 ? ! Display math should end with $$. <to be read again> \par l.1691 ? [34] ! Double superscript. l.1739 ...m}(x) = \chi_{S^{3}}(x), x\in D_{1}^{6}^ {*}$ , where $\chi_{S^{3}}... ? ! Undefined control sequence. l.1781 ...e restrict ourselves in () for $h\in \LH $ , we finally get ? ! Undefined control sequence. l.1783 \;\;\Delta_{\LH }(h)^{-1} \;=\;\int_{S^{3}}\frac{dR(x)}{\Delta ( ? [35] ! Undefined control sequence. l.1791 \;\;\Delta_{\LH }(h^{2})\;=\;\int_{S^{3}}\frac{d(\sqrt{\cdot}R_{\infty... ? ! Undefined control sequence. <argument> \Delta _{\LH }(h^{2}-y^{2}) l.1792 {\Delta_{\LH}(h^{2}-y^{2})} \;=\;{\cal ? ! Undefined control sequence. l.1793 H}_{\LH }(\sqrt{\cdot}R_{\infty})(h^{2}), ? ! Missing } inserted. <inserted text> } l.1811 \end{th} ? Overfull \hbox (227.01665pt too wide) detected at line 1841 [] []\OT1/cmr/m/n/12 ^^A[](\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 f[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dH[]\OT 1/cmr/m/n/12 (\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 ) + [] []^^A[](\OML/cmm/m/it/ 12 k\OT1/cmr/m/n/12 )[](\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dH[ ]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 g[]\ OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 ) [][] ^^A[](\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 dH[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 k\OT1 /cmr/m/n/12 ) =: \OML/cmm/m/it/12 M[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 N; K\OT1 /cmr/m/n/12 ))\OML/cmm/m/it/12 : [] [36] ! Undefined control sequence. l.1846 ${\cal H}_{K}$ (in the case of $K = \LH $) to the expressions: ? ! Undefined control sequence. <argument> \Delta _{\LH }(h^{2}) l.1853 \;\frac{1}{\Delta_{\LH}(h^{2})} \;=\;\int_{S^{3}}\frac{dR(y)}{\Delta_{... ? ! Undefined control sequence. <argument> f_{\Delta ^{\pm 2}_{H}(h)}(x) dH_{\LH }(h) l.1867 dH_{\LH}(h)}{\Delta_{\LH}(h^{2}-y^{2})} ). ? ! Undefined control sequence. <argument> \Delta _{\LH }(h^{2}-y^{2}) l.1867 dH_{\LH}(h)}{\Delta_{\LH}(h^{2}-y^{2})} ). ? ! Undefined control sequence. l.1873 \int_{X_{N}(\LH )}\frac{f_{\Delta^{\pm ? ! Undefined control sequence. <argument> \Delta ^{2}_{\LH }(y)\Delta _{H}(1- \frac {h}{y}) l.1875 \frac{h}{y})} =\int_{X_{N}(H)} f_{\Delta_{H}^{\pm ? ! Undefined control sequence. l.1876 2}(h)(x)dH_{\LH }(h)}{\Delta_{\LH}(1-h^{2})}, ? ! Undefined control sequence. l.1876 2}(h)(x)dH_{\LH}(h)}{\Delta_{\LH }(1-h^{2})}, ? ! Undefined control sequence. <argument> dH_{\LH }(h) l.1880 ...$\frac{dH_{\LH}(h)}{\Delta_{H}(1-h^{2})} =: \mu_{BK}$ is a {\bf ? ! Undefined control sequence. l.1881 Bogoluboff-Kriloff measure} of $I_{\LH ^{*}}$, i.e. ? ! Undefined control sequence. <argument> f_{\Delta ^{2}(h)}(x)d H_{\LH }(h) l.1884 H_{\LH}(h)}{\Delta_{H}(1-h^{2})} \;=\;\int_{X_{N}(H)}f_{\Delta^{-2}_{\... ? ! Undefined control sequence. l.1884 ...}\;=\;\int_{X_{N}(H)}f_{\Delta^{-2}_{\LH }(x)d ? ! Undefined control sequence. l.1885 H_{\LH }(h)}{\Delta_{H}(1-h^{2})}, ? ! Undefined control sequence. l.1894 \;=\;\int_{X_{N}(\LH )}\phi(h)d\mu_{BK}(h). ? [37] ! Undefined control sequence. <argument> f_{\Delta _{\LH }^{2}(h)} (x)d H_{H}(h) l.1901 (x)d H_{H}(h)}{\Delta_{\LH}(1-h^{2})} . ? ! Undefined control sequence. <argument> \Delta _{\LH }(1-h^{2}) l.1901 (x)d H_{H}(h)}{\Delta_{\LH}(1-h^{2})} . ? [38] [39] Overfull \hbox (38.27188pt too wide) detected at line 2008 \OML/cmm/m/it/12 J[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 ) = \OMS /cmsy/m/n/12 ^^@\OML/cmm/m/it/12 p[]v [][]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 y[] \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 sin \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 logy[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ^^R\O T1/cmr/m/n/12 (\OML/cmm/m/it/12 G[]\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 y[]\OT1/c mr/m/n/12 )\OML/cmm/m/it/12 y[]dy \OT1/cmr/m/n/12 =: \OML/cmm/m/it/12 J[]\OT1/c mr/m/n/12 (\OML/cmm/m/it/12 s\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] [40] [41] [42] Underfull \hbox (badness 5147) in paragraph at lines 2130--2132 []\OT1/cmr/m/n/12 [dB5] de Branges L., \OT1/cmr/m/it/12 A proof of the Rie-mann hy-poth-e-sis \OT1/cmr/m/n/12 , [] [43] [44] Underfull \hbox (badness 10000) in paragraph at lines 2195--2197 []\OT1/cmr/m/n/12 [Pi] Pitka-nen M., \OT1/cmr/m/it/12 Proof of Rie-mann hy-poth -e-sis\OT1/cmr/m/n/12 , [] ! LaTeX Error: \begin{equation} on input line 1660 ended by \end{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.2211 \end{document} ? [45] (short.aux) LaTeX Warning: There were multiply-defined labels. ) (\end occurred inside a group at level 1) Here is how much of TeX's memory you used: 596 strings out of 10869 5774 string characters out of 96900 50885 words of memory out of 263001 3535 multiletter control sequences out of 10000+0 29165 words of font info for 107 fonts, out of 400000 for 1000 35 hyphenation exceptions out of 1000 25i,9n,22p,258b,308s stack positions out of 300i,100n,500p,50000b,4000s Output written on short.dvi (45 pages, 144968 bytes).