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Since nobody objected to the idea that this tag - if we keep it - should only be for questions about Chebyshev functions in number theory, I went ahead and created tag-wiki and tag-exceprt.

I have also started retagging questions which do not belong here, see this list. They are mostly about Chebyshev polynomials and Chebyshev inequality. Since I am not very familiar with these two topics, some people with more experience in these areas might have a look at those questions and choose better tags, if needed.

Of course, if there is support for the suggestion to get rid of the tag entirely - as suggested in the other answer - this still can be done. (Although in that case we will have remove the tag-wiki, since the tags having tag-wiki are not removed from the system.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use the chebyshev-polynomials tag.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use the chebyshev-polynomials tag.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Since nobody objected to the idea that this tag - if we keep it - should only be for questions about Chebyshev functions in number theory, I went ahead and created tag-wiki and tag-exceprt.

I have also started retagging questions which do not belong here, see this list. They are mostly about Chebyshev polynomials and Chebyshev inequality. Since I am not very familiar with these two topics, some people with more experience in these areas might have a look at those questions and choose better tags, if needed.

Of course, if there is support for the suggestion to get rid of the tag entirely - as suggested in the other answer - this still can be done. (Although in that case we will have remove the tag-wiki, since the tags having tag-wiki are not removed from the system.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use the chebyshev-polynomials tag.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use (chebyshev-polynomials) tag.

Suggestion for the tag-info, in case we decide to keep the tag. (I made the post CW, feel free to make any reasonable improvements.)

Tag-excerpt:

For questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.

Tag-wiki:

This tag is intended for questions about Chebyshev functions $\vartheta(x)$ and $\psi(x)$, which are often used in number theory. These functions are defined as $$\vartheta(x)=\sum_{p\le x} \log p$$ and $$\psi(x) = \sum_{p^k\le x}\log p=\sum_{n \leq x} \Lambda(n) = \sum_{p\le x}\lfloor\log_p x\rfloor\log p.$$

For questions about Chebyshev polynomials, use the (chebyshev-polynomials) tag.