K Ramachandra - On a method of Davenport and Heilbronn I.

hrj:136 - Hardy-Ramanujan Journal, January 1, 1998, Volume 21 - 1998 - https://doi.org/10.46298/hrj.1998.136
On a method of Davenport and Heilbronn I.Article

Authors: K Ramachandra 1

Let λ1,λ2,λ3 be nonzero reals with λ1/λ3 negative irrational. Let φj(u)(1j3) be smooth functions with derivatives <<u1(logu)C(u3). We prove in this paper that the inequality |3j=1λj(pj+φj(p))|<exp((log(p1p2p3))1/2) holds for infinitely many triplets of primes pj.


Volume: Volume 21 - 1998
Published on: January 1, 1998
Imported on: March 3, 2015
Keywords: basic,intermediary and supplementary intervals,Davenport-Heilbronn fundamental method,[MATH]Mathematics [math]

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