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most citedGeometry unites synchrony, chimeras, and waves in nonlinear oscillator networks

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math.NT2023

Fekete polynomials of principal Dirichlet characters

Shiva Chidambaram, Ján Mináč, Tung T. Nguyen +1

Fekete polynomials associated to quadratic Dirichlet characters have interesting arithmetic properties, and have been studied in many works. In this paper, we study a seemingly sim…

math.NT2022★ 1 cited

On the arithmetic of generalized Fekete polynomials

Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân

For each prime number one can associate a Fekete polynomial with coefficients or except the constant term, which is 0. These are classical polynomials that have been s…

math.NT2021

Quaternion algebras and square power classes over biquadratic extensions

Frank Chemotti, Jan Minac, Tung T. Nguyen +3

Recently the Galois module structure of square power classes of a field has been computed under the action of in the case where is the Klein…

math.NT2021

Fekete polynomials, quadratic residues, and arithmetic

Jan Minac, Tung T. Nguyen, Nguyen Duy Tan

Fekete polynomials associate with each prime number a polynomial with coefficients or except the constant term, which is 0. These coefficients reflect the distribution…

math.NT2021

Further insights into the mysteries of the values of zeta functions at integers

Ján Mináč, Nguyen Duy Tân, Nguyen Tho Tung

We present a remarkably simple and surprisingly natural interpretation of the values of zeta functions at negative integers and zero. Namely we are able to relate these values to a…

math.NT2021

Integer solutions of

Tien Nam Le, Tung Tho Nguyen

In this article we will show different proofs for the fact that there exist relatively prime positive integers such that: .