ࡱ> Root EntryRoot EntryHx@FileHeaderEDocInfo3}BodyText ɫxʫx HwpSummaryInformation.+PrvImageqPrvText"DocOptions HxHxScripts HxHxJScriptVersion L DefaultJScriptI_LinkDocM   !"#$%&'()*,-./012456789:;<=>?@ABCDFGHJKNOPQRSTUWXYZ[\]^_`abcd ] ȩ : Expansion of zero for several q-series Ŭ : t P [YP] | : 3 11|(|) $ 5:00-6:00 nj :  6218 Rademacher conjectured that the correspondence to the partition generating function in the lower half plane is zero and called it expansion of zero. It was later proved by Petersson and the theory developed further by Eichler. We interpret Rademacher's expansion of zero in terms of mock modular forms and their shadows and give questions on q-series that have not been answered by the theory. GIF89aɻxxxkkk]]]PPPCCC555((( d`LH00`Hذ̘`H0|pdXL@`0H `H0`dHL`H0xp`XH@0d LȰ``HH00dLؘȀ`H0xp`XH@d0L `H0d`LH`H0|pdXL@0`$H`dHL00`HذȘdL0xp`XH@0` HdH0ȳ``HHdL0xp`XH@`0H Ը̰ĠऀؘpȈXxHp@h@d8`8X0xT0pH dxddxd`d`p`|``x`p``x`!, H*\ȰÇ#JHŋ3jȱǏ CIɓ(S\ɲ˗0cʜI͛8sɳϟ@ JѣH*]ʴӧPJJիXjʵׯ`ÊKٳhӪ]˶۷<3e(w?t;._zc//E̸ǐ#KL2#мK/MZhShүc6@gϸ=~]:thެ{ iNvn~3(v]{ ^=={Ïc~~B(`V]>` * " 2(bcxa ^"B`n瑉(cSxg h~:gDiH&P5瞐]~Mʷ59LE)fcF%Vwjr lbGsJTxep∦69n:y!49fq6z%Rߡ)~ 0I jf7^^Zf}'l'<)ߗ*뭏:*:K#Cjja O2zl" ꫬ^Y*~bZf諃+,N2Gܶ [o ;|o Wl1"/>l!-$ж,ް Ȣ5'--DmH'L7PG-TWmXg\w`-dmhlp-tmxQ|߀.n'7G.Wngw砇.褗n騧ꬷ.nz@;`a``a`0x  ` l x]ajou2014D 9 22| Ɣ| $ 1:29:43ajou8, 5, 8, 1453 WIN32LEWindows_7@P'@ʫx@VMkQ=;N#6U\;-hV붨R\?.J+@W.`,DE]t%2733A}ܼ;{7PVd~{kAv6NMQٖjpX2VpRU,|^0ݗo䨥 2x SLz*vidRkۏ沈(P߇K8E&\ ~j~U8851k|u~|zJ||g"%V*s+!iTf͜v|2Sbڻ3#0 TkAf6?0H]jq=Xo)E0T="A <^#zPE)xxł7/ v&;'>vv}ߛ7YV Ct5t _gJt)ndJQIB@g+H87K){{nO92},0 QB7S3G5!N2|yE%p隃qwpQ<wL(cq w EwBÝwRÝRR1;X1; QuՖA+fXU;um֗;)e]9Cd9RB7i.Ur2D8uA$fiƋ}N =|$g R:uQdhjlbo[QA]Pg2 /!O;;0>&䫲$<"O?uc|9"a}7t0`p۵TcS'w" s5C "fہnoqbzUHوkFϳ{ ^Cї _~Y{әHWP Document Fileu@DO 6C,H,#GB!k0~ 6*7=M*Z:ҙ#?*?ӿT@Y~X+mj3'm[v|:j)%C$Mϼ5#cd߈:\Users\ajou\AppData\Local\Temp\prv00001b3c09a4.gifx_f ;f U 7B4{-wG 'ZPh@-wZPBf f =f N +RuduAuf bAuduf ĭuf f ٭uf Yĭuf duAuf bAuduf ӿuŭuXdu?8ޚ,Lf XSection08G,UMLA~]-!uMH @FIvҖ{x5&`^'$JHHTN8rуy3ӝ–e'og߼ޛ[%ӰgžˆYi:p,rb4.C4u`U־b}en Gsէo7ֻ5h;$^pD>Wy h>!Mܾ9;L 7mO+]hCAҁq@0갚ٳKwgY׊XwFbO. NI8! M|!X±L԰`VG!IhpDkc+:\` .؜ j.ۄ]:ȱ-er& ,.p 毁a· ,~ao G 6âo61&6;s˳\_f99 Zňp*rh(Ub.q{ *8}8g9Â8Zkۚ+!7הX~5o[\Pi;]+wT cM`垉#wq LᚅZ&##Kh{bnVBeUYfJ* 2rÅ!7(Jq늝q)Be_ Wg1BjH?]Pǣ/ciKQbxE(g4y8^%i<46S%=4+)lQdmw,b\4;=Ļ⺈N\xd,q=-'hט>((u Y?BXwa~{w6Xތ)m$q5MMeupo.%`=G Eޢ3Ԍs˪fg W?wd.$B{r