Sitzungsberichte der
Heidelberger Akademie der Wissenschaften

12 (A. 12)

OSKAR PERRON:

SATZ 1. tYezzzz Az'e Fz777A%707ze77 F„(^) 7777 A77%rrC77i%
77<2<A ^%e%7^ ^z'zzA zzzzA Aezz YTZ^iricAzzTzo'ezz ^eTzAgezz.*
l/4^))<^.-M (y = 0,l,2,...);
o'ezzzz /rrzzer Air D7//ere7Z%z77%c'ie7'cAz777^
y = E -f,M y,
i/=0
ecoizez Az'e rrcA%^ ^%eAg7zAe A^ezAr /Ar Y = r > 0 7777 oizzgezz Az7%ere77A
cAemAzzzA/izg' Ao77eez'^7er%, ez'zz Azzie^rTzi Azz%, Aa^ 7777 gzzzzzrzz Az7%ere7zii
nA^aizz% < r AAAA% zzzzA /Ar 2 = 77 Aezz lYer% )c] a77 77,i77Z77z%.' $0 Aa% azzcA
Aze Di//err7z%i2^iez'cAzz7zg
.?/' = X ^(2) ?/"
)' = 0
6Z77 /M^roA, A776* 7777 g27ZZ677 A77%rre77A 77Asoiz7% < 7' A/ez'A% 777zA /Ar 2 = 77
Aezz PYer% c 7777777777777%. Diese.? AzziegraA iAA% sicA 7777/ znazzzzz.g'/acAe
TYeise 777 Farzzz eizzer zzzzezzAiieAezz DeiAe Aarsieiiezz.*
A X <PzM .
;.=i
Aerezz DiieAer zzacA ^ A AzzrcA 7227aAra%zzz'e7z za AerecAzzezz sizzA.
Setzt man speziell /,, (2) = ^„(2), so ergibt sich das
KOROLLAR 1. tYeZZZZ Aie F777zA%7077e77 D,, (2) 7 777 Aa%ereaii 77<2<^A
s%e%z^ 7777A > 0 sizrA, 027777 /erzzer Air Dz//ere77%i ai^ie7e A77 zz^

y=X-F,,(x)y",
y=0
waAei Air z*ecA%s s%eAeaAe Dez'Ae /Ar Y = r > 0 7777 ozz^e^eAerzezz Aa%ez-
aaii cfie7cA777AA7g Aazzaer^ierezz saii, 5777 Azzie^rai Aa%, Aas AaaeraA < z*
Aiez'A% 777zA /Ar 2 = 77 Aezz reeiiea 7zicA% zzegaiiaezz PYer% c 7777777777777%.* sa
Aaaa Aieses Azz%e^rai 7777/ zzzazzai^/aeAe PYezse ais azzezzAiicAe DeiAe
Aarges%eii% werAea, Aerea C/ieAer aacA ^ A AzzrcA (^M^zAraiarea za Ar-
reeAaea siaA.