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ζ(4), ζ(6).......ζ(108), ζ(110) Are Irrational Number

Toshiro Takami

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Abstract

ζ(4), ζ(6).......ζ(108), ζ(110) considered. From these equations, it can be said that ζ(4),ζ(6).......ζ(108),ζ(110) are irrational numbers. ζ(112),ζ(114) etc. can also be expressed by these equations. Because I use π2, these are to be irrational numbers. The fact that the even value of ζ(2n) is irrational can also be explained by the fact that each even value of ζ(2n) is multiplied by π2.

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What this paper is about

ζ(4), ζ(6).......ζ(108), ζ(110) considered. From these equations, it can be said that ζ(4),ζ(6).......ζ(108),ζ(110) are irrational numbers. ζ(112),ζ(114) etc. can also be expressed by these equations. Because I use π2, these are to be irrational numbers. The fact that the even value of ζ(2n) is irrational can also be explained by the fact that each even value of ζ(2n) is multiplied by π2.

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Available abstract

ζ(4), ζ(6).......ζ(108), ζ(110) considered. From these equations, it can be said that ζ(4),ζ(6).......ζ(108),ζ(110) are irrational numbers. ζ(112),ζ(114) etc. can also be expressed by these equations. Because I use π2, these are to be irrational numbers. The fact that the even value of ζ(2n) is irrational can also be explained by the fact that each even value of ζ(2n) is multiplied by π2.

Key concepts: Irrational number, Value (mathematics), Mathematics, Statistics, Geometry

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