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- W2108188385 abstract "Such subsets of the Farey fractions have been the object of a considerable amount of recent research (Hay03; BCZ03; CIZ03; Hay04; Hal05), both because of their relevance to GRH and because of known applications to particle physics (BGZ03a; BGZ03b). In (Hay03) we used well known estimates for Kloostermann sums (Wei48; Hoo57; Est61) to prove the following theorem in response to a question posed by A. Zaharescu. Theorem (H.). Fix a non-empty interval [α, β] ⊆ [0, 1] and for k, Q ∈ N define FQ,2,[α,β] = FQ,2 ∩ [α, β], NQ,2,[α,β](k) = # { a′ q′ < a q consecutive in FQ,2,[α,β] : q′a− a′q = k } ," @default.
- W2108188385 created "2016-06-24" @default.
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- W2108188385 date "2006-01-01" @default.
- W2108188385 modified "2023-09-27" @default.
- W2108188385 title "A BRIEF SUMMARY OF PAST RESEARCH AND CURRENT PROJECTS" @default.
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