Mr Landau, Note on Mr Hardy's extension of a theorem, etc. 15 

 for ^ y ^ 1. Hence 



1-7? 1 1 



1-^cos^ l+_^(l-cos^) ^+va-cos0) 



1 -7] 



^ g-i^ (1-cosfl) < g-Tll*^ 



for ^ t; ^ |, — TT ^ 6 ^tt; and so 



1 — — - 02 n 



-^{d, n) = n — — ^ e~487tif = e-TyV(«+i)9^ ^ e-?Vne^^ 



*='l-^cos6' 

 In 



for — TT ^ ^ ^ TT and ?? = 1, 2, 3, .... Therefore 



[" A/r (^, n)de^j e- ^^^''dd = ('-^) . 



GoTTlNGEJf, 4 December 1919. 



