About Me

About

I’m Vladislav Shubin, a master’s student in mathematics at Stockholm University. I’m interested in math, mainly number theory and algebra.

I would like to learn a lot about Langlands program, as I love L-function and modular forms.

Also, I have a bit of an interest in Krawtchouk polynomials and matrices. I have some sort of bank of hypotheses and several solved problems there.

By the way, enjoy a picture of a Krawtchouk matrix.

Krawtchouk matrix of order 409 modulo 41
Krawtchouk matrix of order 409 modulo 41

If you’re hooked, there’s a repository on Github where I’ll collect some tools to visualize Krawtchouk matrices.

The research section currently contains some published materials on the subjects mentioned.

In addition, I’m a contributor to the OEIS (Online Encyclopedia of Integer Sequences).

Most of my contributions are involved with the problem of de Koninck. The problem lies mainly in elementary number theory.

Briefly, if we have a multiplicative function $rad(n)$, which is equal to the product of distinct prime of integer $n$, then when is it equal to another multiplicative function of $n$?

You can find my resume here.

Below, you can find some information from the resume.

Education

Publications

  1. Vladislav Shubin. “Investigation of ϕ-radical numbers”. In: 73rd Scientific Conference of Sudents and Young Scientist. Petrozavodsk, Russia, 2021.

  2. Vladislav Shubin and Nikita Gogin. “Bernstein Polynomials and MacWilliams transform”. In: International Conference Polynomial Computer Algebra ’2023’ (PCA’2023). Saint-Petersburg, Russia, 2023.

  3. Vladislav Shubin and Nikita Gogin. “Binomial Coefficients as Functions of their Denominator; Another Primality Criteria for Natural Integers”. In: International Conference Polynomial Computer Algebra ’2024’ (PCA’2024). Saint-Petersburg, Russia, 2024.

OEIS contributions

I authored the following OEIS sequences: A355045, A355059, A337775, A337776.

and also contributed to: A000108