
tettinte prabandham

samkhyaa sidhaanthathil, prinsettan sarvakalaashaalayile emil aarttinte melnottatthil poortthiyaakkiya 1950 phd theesis aanu tettinte theesis. athil, oru heck pratheekathaal valanja seetta function uyarthaan praadeshikamaayi compact grouppaaya idelukalil oru vivarthana asthiramaaya samyojanam tettu upayogichu, i.iii. oru heckey ell-function, oru nambar feeldil ninnu oru seetta integral vare athinte gunangal padikkunnu. harmonic vishakalanam, kooduthal krithyamaayi poyson sammeshan formula upayogichu, addeham seetta integralinteyum heckey ell-functionteyum pravartthana samavaakyavum meromorphic thudarchayum theliyichu. valanja seetta functionte dhruvangalum addeham kandethi. heckey ell-functionte pravartthana samavaakyathinte thelivu nalkunna eric hekkinte oru kruthiyude gambheeravum shakthavumaya naveekaranamaayi addehathinte srishtiye kaanaan kazhiyum. eric heck oru beejaganita samkhya feeldumaayi bandhapetta oru saamaanyavalkkaricha theetta shreniyum athinte poornnasamkhyakalude valayathil oru laattisum upayogichu.
ivasava-tettu sidhaantham.
kenkichi ivasava randaam lokamahaayudhasamayathu adisthaanaparamaayi athe reethi (tettinte theesisil praadeshika sidhaanthathinte analog illaathe) swathanthramaayi kandethukayum 1950 leeii ganithashaasthranjarude anthaaraashtra kongrasil pepparilum 1952 ll jeane deodonic ezhuthiya kathilum ithu prakhyapikkukayum cheythu. athinaal eee sidhaanthathe palappozhum ivasava-tettu sidhaantham ennu vilikkunnu. ell-functionte meromorphic thudarchayum pravartthana samavaakyavum mathramalla, pradhana kanakkukoottalinte udanadi upolppannangalayi klaas nambarinteyum unitukalekkurichulla diriclettinteyum sidhaanthathinteyum parimithatha niravadhi pejukalil ninnu uruthirinja diodonine ezhuthiya kathil ivasava theliyichu. positteev swabhaavasavisheshathayude sidhaantham oru pathittaand munbu ernst vitt, wilfried schmid, ooswald teachmullar ennivar vikasippicheduthu.
klaas feeld sidhaanthathil ninnu varunna niravadhi gadanakal ivasava-tettu sidhaantham upayogikkunnu, ennirunnaalum ithu klaas feeld sidhaanthathinte aazhathilulla phalangalonnum upayogikkunnilla.
saamaanyavalkkaranangal.
1972ll rogger godementum herway jackwettum chernnu oru beejaganita nambar feeldilum athinte adelic grouppinte automorphic praathinidhyangalilum ivasava-tettu sidhaantham general leanier group jii. ell (enn) lake vyapippichu, ithu langlands correspondencinte adithara paakukayum cheythu. tettinte prabandhathe godament-jackwet kruthiyude jii. ell (1) kesai kaananakum.

