Acta Scientiarum Universitatis Pekiniensis (Naturalum)

i 1958 46

60 4k KE CS

ee, Un) inne aun BRB h=h(n) <i(n), BSAA AE TAZ a at fe RP(U(m)), eB R(h) WAL h=1,2,---,1(n) HK SMA. = p<O Wh) SR(U(n)), A Ang ee 24, Ba. PUPUBVE p>O, FA l(n)>1 mt

RP (h-+1) >R?(h)

SED

Rte h i h ie eer.

A SRB =1'(n) EOE fe h< HT GH IBATIIEK, TENS HH MBH IB KS; Hf HATE H—-1 H

log? n >t

+ a = loging +

ARTE. WIS m3 tht, R(h) Fe h—=T (m) WBA, TOTE h—=1(n) WB AMEE.

FACET (SD') rh U(n) A WeeefE— Hee hh (n) <l(n)3 IRIE RBS TED) oi. SUP SIE fe pat Int ee HU" (n) BY eh 48 4 log” nS U' (n) Slog! (Fn —1 ATALIE PASS Bil Tan AE HT AR ASSES AR LE RE By TU! (n) > IT 5 H+151(0)4 I HR, PME Es U(n) =k fk} n=exp't, k<t<e1, FRIPSELE n FLARE [log*n] =h (Llog k] <h<k+1) 4H (Ta), en ay 1 Uinyak” log n log log n---log!"™n

=k—logk+O(d),

BORA 51S 2. ee Ss —_ (8a) ~ nilog nlog log n---log!’ On. Le’(m) }? fe D> 2 TN KORO TE p <2 IY BEI. ANTETE Xt} Ti% Ff: — JE Ie ip i, Ha exp"k Bi exp(k4+1) SARA JE EB ne HE U(n) AU(m—-1), Bsxit 0’ (nm) =U (m—1) +1 Th log” "Dp

O<I' (n) —log’™ (m1) <log"™ m—log" ™ (n=1) = log——_ = ___—__ = = log? “)(n—1)

UGm) =