Examples of irreducible holomorphic function in more than one variable.
Mathematics Asked by Alain Ngalani on November 27, 2020
I’m studying analysis in several complex variables and in particular Weierstrass preparation theorem caught my interest (I’ll include the theorem for clarity).
In the examples I came up with I only found functions that could be written as the product of an unit and linear Weierstrass polynomials.
It’s never implied that every Weierstrass irreducible polynomial is of degree 1 or that in general irreducible functions are the degree 1 polynomial so I was looking for some examples of holomoprhic functions that are irreducible (at the origin) but are not polynomials of degree 1.
One Answer
I actaully don't remember about details on why this is but I've been told in several occasions that polynomials like $z^2-xy^2$ are irreducible. I hope this helps
Correct answer by Frankie123 on November 27, 2020
Add your own answers!
Ask a Question
Get help from others!
Recent Questions
- How can I transform graph image into a tikzpicture LaTeX code?
- How Do I Get The Ifruit App Off Of Gta 5 / Grand Theft Auto 5
- Iv’e designed a space elevator using a series of lasers. do you know anybody i could submit the designs too that could manufacture the concept and put it to use
- Need help finding a book. Female OP protagonist, magic
- Why is the WWF pending games (“Your turn”) area replaced w/ a column of “Bonus & Reward”gift boxes?
Recent Answers
- Jon Church on Why fry rice before boiling?
- Lex on Does Google Analytics track 404 page responses as valid page views?
- Peter Machado on Why fry rice before boiling?
- haakon.io on Why fry rice before boiling?
- Joshua Engel on Why fry rice before boiling?