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[3] [4] File: pics/diophantus1.eps Graphic file (type eps) File: pics/diophantus2.eps Graphic file (type eps) File: pics/wiles_diophantus.eps Graphic file (type eps) File: pics/fermat3.eps Graphic file (type eps) [5] [6] File: pics/frey2005.eps Graphic file (type eps) [7] [8] File: pics/edsac.eps Graphic file (type eps) File: pics/birch_and_swinnerton-dyer.eps Graphic file (type eps) File: pics/swinnerton_dyer-count.eps Graphic file (type eps) [9] File: pics/hasse.eps Graphic file (type eps) LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <41.28> on input line 355. Overfull \hbox (40.21376pt too wide) detected at line 355 \OML/lcmm/m/it/19.907 a[] \OT1/lcmss/m/n/19.907 = \OMS/lcmsy/m/n/19.907 ^^@\OT1 /lcmss/m/n/19.907 2\OML/lcmm/m/it/19.907 ; a[] \OT1/lcmss/m/n/19.907 = \OMS/lc msy/m/n/19.907 ^^@\OT1/lcmss/m/n/19.907 3\OML/lcmm/m/it/19.907 ; a[] \OT1/lcms s/m/n/19.907 = \OMS/lcmsy/m/n/19.907 ^^@\OT1/lcmss/m/n/19.907 2\OML/lcmm/m/it/1 9.907 ; a[] \OT1/lcmss/m/n/19.907 = \OMS/lcmsy/m/n/19.907 ^^@\OT1/lcmss/m/n/19 .907 1\OML/lcmm/m/it/19.907 ; a[] \OT1/lcmss/m/n/19.907 = \OMS/lcmsy/m/n/19.90 7 ^^@\OT1/lcmss/m/n/19.907 5\OML/lcmm/m/it/19.907 ; a[] \OT1/lcmss/m/n/19.907 = \OMS/lcmsy/m/n/19.907 ^^@\OT1/lcmss/m/n/19.907 2\OML/lcmm/m/it/19.907 ; [] [10] File: pics/bsd1.eps Graphic file (type eps) [11] ! LaTeX Error: File `pics/wiles1' not found. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.398 } % end page I could not locate the file with any of these extensions: .eps,.ps,.eps.gz,.ps.gz,.eps.Z Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: File `pics/hecke_in_front' not found. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.398 } % end page I could not locate the file with any of these extensions: .eps,.ps,.eps.gz,.ps.gz,.eps.Z Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. ...\Large $$ L^*(E,s) = \prod _{p\nmid \Delta } \left (\frac {1}{... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. ...ight ). $$} Here $ a_p = p+1-\#E(\F _p)$ for all $p\nmid \Delt... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. ...p = p+1-\#E(\F _p)$ for all $p\nmid \Delta _E$. Note that form... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. ...mally, $$ L^*(E,1) = \prod _{p\nmid \Delta } \left (\frac {1}{... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. ...ot p^{-2}}\right ) = \prod _{p\nmid \Delta } \left (\frac {p}{... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. ...p-a_p + 1}\right ) = \prod _{p\nmid \Delta } \frac {p}{N_p} $$... l.398 } % end page The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. [12] File: pics/lser.eps Graphic file (type eps) [13] File: pics/many_lser.eps Graphic file (type eps) [14] File: pics/abs_elseries-37A.eps Graphic file (type eps) [15] ! Undefined control sequence. \C l.450 } The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. File: pics/wiles-princeton.eps Graphic file (type eps) [16] File: pics/modform37a.eps Graphic file (type eps) [17] LaTeX Font Info: Try loading font information for OT1+lcmtt on input line 48 6. (/usr/share/texmf/tex/latex/base/ot1lcmtt.fd File: ot1lcmtt.fd 1998/06/12 v2.2e Standard LaTeX slide font definitions ) [18] LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <12> on input line 509. LaTeX Font Info: External font `cmex10 at17.28pt' loaded for size (Font) <7> on input line 509. [19] LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <16.59> not available (Font) size <17.28> substituted on input line 553. [20] Class slides Warning: Slide 20 too long on input line 553. [20] LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <19.907> not available (Font) size <20.74> substituted on input line 571. LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <13.82> not available (Font) size <14.4> substituted on input line 571. [21] [22] [23] (./2005-09-23.aux) LaTeX Font Warning: Size substitutions with differences (Font) up to 0.83301pt have occurred. ) Here is how much of TeX's memory you used: 3809 strings out of 95755 48581 string characters out of 1194954 107564 words of memory out of 1000001 6751 multiletter control sequences out of 10000+50000 15680 words of font info for 54 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 1000 27i,9n,21p,2889b,306s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on 2005-09-23.dvi (24 pages, 33972 bytes).