PACnPOOTP. OPE^'BIbH. TEOPEMl HCTCHC4. BDPOflTHOCTEH HA CYMMy BEJH»IHH1) CBJI3. Bb IPBIIb. 25 



h ito MoayjiH ocTajbnbjxt KopHea 



Toro me ypaBHenia MeHbme eAHHHH,bi. 



A-"" AOKa3aTejibCTBa, qio eAnuaua npocTon, a He KpaTUbiii KopeHb ypaBnenia (32), Moaten. 

 cjiyatHTb cj'BAywmee npeAJioaieHie OTHOCHTejibHO onpeAtjiHTejieii. 



Ecjih bc'e ajieiueHTbi onpeAi-SHTejifl 



M > — &u — c,, 



— «i, «, — c a , 



— ««1 — & 2, W > 



yAOBJieTBopHwii. HepaBeHCTBaMT> 



(*) a k >0, b k >0, c k >0,.... 



h eepaBeHCTBaiwB 



(**) u > a x 



v>b. 



, w > c, 



TO OHT> He MOHteTT. 6bITb HHCJIOIV^ OTpHH.aTeJIbHblM'L H MOHteTTj 6blTb Hyjieil'L TOJlbKO BT> KpaH- 



hhxt, cjiyqaflx-L, Kor^a Bci HepaBeHCTBa (**) o6pam,aioTCfl bi paBeHCTBa, hjih KorAa oht, npa- 

 boahtch, Kh BHAy o6pain,eHia H'BKOTopbix'b 03i> HepaBeHCTBi. (*) bt> paBeHCTBa, kt> npoH3BeAeHiK) 

 H'ECKo.abKHX'b onpeAtjiHTejien Toro ate Tnna h cpeAH 3thxt> nocjrEAHHx-b HaxoAnrca TaKoi onpe- 

 A"BJHTe.iib, ajih KOToparo bcb HepaBeHCTBa, aHajiorHHHbia (**), o6pam,aK)TCfl bt. paBeHCTBa *). 



Mbi yStacAaeMCfl bt> B-fepuocTn 3tcto BaatHaro a-hh HacT> npeAJioaceHia, pa3CMaTpnBaa 

 u, v, w, . . . . K&Kh iiepeMBHHbifl HHCJia h 3aMiqaa, hto npoH3BOAHbia on> Hamero onpeA'EJiHTejifl 

 no u, v, w, . . . . BbipaaiawTCH HOAo6HbiMH ace onpeA'BJiHTejiHMH Hromaro nopHAKa; Tanoe pa3- 

 CMOTp-EHie Aaerb B03MoatHOCTb nocTeneHHO pacnpocTpaHHTb Teopeiny ct> onpeA'BJiHTejiH 2-ro 

 nopHAKa, AJia KOToparo ona oieBHAHa, na onpeA^jiHTejib 3-ro nopHAKa, c-h onpeAtjHTejiH 3-ro 

 nopaAKa Ha onpeA'BJiOTejib 4-ro nopHAKa h t. a* 



H3t> AOKa3aHHaro TaKoarb o6pa30MT> npeAJioacemfl TOTiact cjrEAyeTT>, hto npa nocTaBJien- 

 hbixtj HaMH yciOBiflX'L npoH3BOAHaa no y ott> jteboh nacTH ypaBHeHia (32) He oSpamaeTca bt> 



*) IToj;o6Hoe npe^JioweHie BCTp-fenaeTcn TaKwe bt> 3aMfcrK'E TepnaHHa MuHKOBCKaro «Zur Theorie der Ein- 

 heiteii in den algebraischen Zahlkorpern » (Nach. v. d. Kon. Gesel. der Wiss. zu Gottingen a. d. J. 1900). 



3an. <ru3.-MaT. Ot^. 



