Number Theory


Search for New Numbers.

Authors: Vyacheslav Telnin

In this paper, we analyze the construction of numbers from natural to complex. A close relationship between these numbers and three direct operations ([1] – addition, [2] – multiplication, [3] – exponentiation) is revealed. A method of constructing new direct operations is found. Two new direct operations ([4] and [0]) are constructed. Two inverse operations are constructed for each of them. If equations that are unsolvable in complex numbers are found for them, new numbers can be constructed on the basis of these unsolvabilities. So far in this way in this work the question numbers are constructed (?- numbers) for [3] direct operation. Along the way, numbers-strings and N-numbers are described. The topology of the numerical line is traced on the basis of N-numbers. In this paper we find the relation of N-numbers and ?-numbers'.

Comments: 122 Pages. Format A5. Content is at the end of the paper.

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Submission history

[v1] 2018-10-17 06:31:37
[v2] 2018-10-26 02:06:30
[v3] 2018-11-06 12:17:49

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