
vibhajaka sangraha pravartthanam

samkhyaasampradaayathil, vibhaajakasamyojanam ennathu vibhaajakasamvidhaanathinte oru koottamaanu. riman seetta functionte asymptotic swabhaavathekkurichulla padanatthilaanu ithu palappozhum sambhavikkunnath. devisor functionte swabhaavathekkurichulla vividha padanangale chilappol devisor prasnangal ennu vilikkunnu.
nirvachanam.
vibhajaka sangraha pravartthanatthe ingane nirvachichirikkunnu
evide
ithu devisor functionaanu. n" enna poornnasankhyaye rund poornnasamkhyakalude gunanafalamaayi ezhuthaan kazhiyunna vazhikalude ennam vibhajaka function kanakkakkunnu. kooduthal pothuve, oraal nirvachikkunnu
ivide "d" "k" ("n") ennathu "k" samkhyakal kondu "n" ennu ezhuthaavunna vazhikalude ennam kanakkakkunnu. keey" alavukalil oru hyperbolic uparithalam veli vekkunna laattis pooyintukalude ennamaayi eee alavu drishyavalkkarikkaam. athinaal, "k" = 2 ", d" ("x") = "d" 2 ("x") idathuvashathu lamba-aksham, thaazhe thirashcheena-aksham, mukalil-valath vashath hyperbola "jk" = "x" ennivayaal parimithappedutthiyirikku oru chathura laattisile pooyintukalude ennam kanakkakkunnu. ekadesham, eee aakruthi oru hyperbolic simplexaayi sangalppikkaam. d" ("x") ennathinu oru badal padaprayogavum formula _ 4 time upayogichu kanakkukoottaanulla oru lalithamaaya maarggavum nalkaan ithu namme anuvadikkunnu
eee sandarbhathil hyperbola oru vritham upayogichu maattisthaapikkukayaanel, thathfalamaayundaakunna functionte moolyam nirnnayikkunnath gass sarkkil prashnam ennariyappedunnu.
dii (enn) yude kramam
0, 1, 3, 5, 8, 10, 14, 16, 20, 23, 27, 29, 35, 37, 41, 45, 50, 52, 58, 60, 66, 70, 74, 76, 84, 87, 91, 95, 101, 103, 111...
diriklettinte devisor prashnam.
eee sangrahicha padaprayogatthinu oru clossed phoom kandethunnathu labhyamaya saankethikavidyakalkku atheethamaanennu thonnumenkilum ekadesha kanakk nalkaan kazhiyum. parambarayude pradhana swabhaavam nalkunnathu
ivide soothravaakyam _ 8 euler-masheroni sthiraankamaanu, pishak padam
ivide, soothravaakyam _ 10 bigg-ooo notteshane soochippikkunnu. 1849ll diriclet sthaapicha diriclet hyperbola reethi upayogichaanu eee kanakk theliyikkaan kazhiyunnath. krithyamaayi paranjirikkunna diriclet divisar prashnam, formula _ 11-nte ettavum cheria moolyam kandethunnathiloode eee pishak mechappeduthuka ennathaanu.
13 enna soothravaakyathinte ellah kaaryangalilum ithu baadhakamaan. innathe kanakkanusarichu eee prashnam pariharikkappedaathe thudarunnu. purogathi mandagathiyilaayirunnu. ithe reethikalil palathum eee prashnathinum mattoru laattis-pooyint ennal prasnamaaya gassinte sarkkil prashnathinum pravartthikkunnu. samkhyaasampradaayathile pariharikkappedaatha prasnangal" ennathinte vibhaagam f1"
eee prashnangalekkurichu ariyappedunnathum ariyappedaathathumaaya karyangal sarway cheiyunnu.
athinaal, formula _ 27 1/4 num 131/416 num (ekadesham. 0.3149); ithu naalil onnu aanennu parakke anumaanikkappedunnu. saidhaanthika thelivukal eee anumaanathinu vishwaasyatha nalkunnu, kaaranam formula _ 28 nuu parimithappedutthunna vitharanamundu. eksponant jodikalekkurichulla oru anumaanathil ninnu naalil onnu moolyam pinthudarum.
piltts devisor prashnam.
pothuvalkkaricha kesil, oraal
formula _ 30 digri formula _ 31-nte oru polynomialaanengil. lalithamaaya esttimettukal upayogichu, athu eluppathil kaanikkunnu
poornnasankhya formulakku 33. formula 34 kesil ullathupole, boundinte anantatha formula 35-nte oru moolyathinum ariyilla. eee infimaye kanakkukoottunnath jarmman ganithashaasthranjanaaya adolph piltsinte peril piltts divisar problem ennariyappedunnu (addehathinte jarmman pejum kaanuka). oordar formula _ 36 neey formula _ 37 kaivasham vaykkunna ettavum cheria moolyamaayi nirvachikkunnu, eathu formulakkum _ 38 nuu, oraalkk inipparayunna phalangal undu (formula _ 39 ennathu munbathe vibhaagathinte formula _ 11 aanennu shradhikkuka):
mellin parivartthanam.
rund bhaagangalum mellin parivarthanangalaayi prakadippikkaam
formula _ 46. ivide, formula _ 47 ennathu riman seetta functionaanu. athupole, oraal
formula _ 49 upayogichu. formula _ 50-nte munnira padam formula _ 51-ll eratta dhruvathinu mukaliloode kondoor maattunnathiloodeyaanu labhikkunnatha pradhana padam avashishtam maathramaan, kauchiyude avibhaajya soothravaakyam. pothuve, oraal
athupole formula _ 53-num formula _ 33-num.

