On an almost pure sieve
On the Barban-Davenport-Halberstam theorem: XIII
On the difference of consecutive numbers prime to n
On the Barban-Davenport-Halberstam theorem: XI
On the Barban-Davenport-Halberstam theorem: IX
On polynomials that are sums of two perfect qth powers
On the representation of numbers by quaternary and quinary cubic forms: I
On the assumption of a Riemann hypothesis for certain Hasse-Weil L-functions, it is shewn that a quaternary cubic form f(x) with rational integral coefficients and non-vanishing discriminant represents through integral vectors x almost all integers N having the (necessary) property that the equation f(x)=N is soluble in every p-adic field ℚₚ. The corresponding proposition for quinary forms is established unconditionally.
On the Barban-Davenport-Halberstam theorem: XV
On the Barban-Davenport-Halberstam theorem: XIV
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