APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM
نویسندگان
چکیده
منابع مشابه
Approximating the Main Conjecture in Vinogradov’s Mean Value Theorem
We apply multigrade efficient congruencing to estimate Vinogradov’s integral of degree k for moments of order 2s, establishing strongly diagonal behaviour for 1 6 s 6 1 2 k(k + 1) − 1 3 k + o(k). In particular, as k → ∞, we confirm the main conjecture in Vinogradov’s mean value theorem for 100% of the critical interval 1 6 s 6 1 2 k(k + 1).
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ژورنال
عنوان ژورنال: Mathematika
سال: 2016
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579316000279