ROMANOFF ADDITIVE THEOREM’S PROOF AND ITS ANALOGUES
https://doi.org/10.22405/2226-8383-2016-17-4-51-56
Abstract
In paper we describe the way N. P. Romanoff proved his additive theorem and sufficient conditions to obtain its analogues for sets with similar distribution and arithmetic. Also the example of set with similar distribution but with different arithmetic is given. We prove that the Romanoff theorem’s analogue for this set is incorrect.
About the Author
A. N. Vassilyev
Московский государственный университет имени М. В. Ломоносова, Казахстанский филиал
Kazakhstan
Kazakhstan
References
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Review
For citations:
Vassilyev A.N. ROMANOFF ADDITIVE THEOREM’S PROOF AND ITS ANALOGUES. Chebyshevskii Sbornik. 2016;17(4):51-56. (In Russ.) https://doi.org/10.22405/2226-8383-2016-17-4-51-56
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