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On an Inequality of Davenport and Halberstam
Author(s) -
Matthews K. R.
Publication year - 1972
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-4.4.638
Subject(s) - citation , library science , mathematics , sociology , computer science
Other estimates for KCJV,^") are nN+5' (Gallagher [2]), 2 max (AT, 5") (Ming-Chit Liu [3], Bombieri and Davenport [4]), (A^+d"*) (Bombieri and Davenport [4]), N + 55' (Bombieri and Davenport [5]). (In the following, variables r and s range over 1,..., R, and variables m and n range over M + l , . . . , M+N.) The discussion here is based on the fact that ]Erl^(^r)l is t n e Hermitian (positive semi-definite) form