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Short exponential sums with a non-integer power of a natural number

✍ Scribed by P. Z. Rakhmonov


Book ID
120894532
Publisher
Allerton Press Inc
Year
2013
Tongue
English
Weight
442 KB
Volume
68
Category
Article
ISSN
0027-1322

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πŸ“œ SIMILAR VOLUMES


On sums of three integers with a fixed n
✍ Xianmeng Meng πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 292 KB

Let N be sufficiently large odd integer. It is proved that the equation N = n 1 + n 2 + n 3 has solutions, where n i has a fixed number of prime factors, and an asymptotic formula holds for the number of representations.