Download Collected papers of G.H. Hardy; including joint papers with by edited by a committee appointed by the London Mathematical PDF

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Additional info for Collected papers of G.H. Hardy; including joint papers with J.E. Littlewood and others

Sample text

Zeta-function and the Theory of Prime be published in the Cumbridqe Tracts in established is essentially the same as that of 1 20. a’proof and references see the tract ‘The Riemann Kumbers’, by Ii. BOHR and J. E. LITTLEWOOD, shortly to n Muthematics and Muthmatiml Phqsica 37 165 Some problems of Diophantine Approximation. which fall inside a segment y of (o, I), of length 6, then iV7 (n) cv 6~. 483 at the end of the paper. But results of this character will find’ a more natural place among our later investigations than among those of which we are now giving an account.

I. 43. We can now complete the proof of Theorem set of v~~lues of 0 lsuch that some one of the intervals contains no point (LO). 40.

Dnnalen, than ~1. 53, p 289; I We thus obtain a sequence of the nfh set is great&than If p ( h, r2nc of sets (rln, ~2~;. - rk+l,n), P and ’ rk+&--Ap)

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