Peikai Qi

collaborators

3 papers

math.NT2024

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Peikai Qi, Matt Stokes

Let $p$ be an odd prime, and $m, r \in Z^{+}$ with $m$ coprime to $p$ . In this paper we investigate the real quadratic fields $K = Q (m^{2} p^{2 r} + 1)$ . We first…

math.NT2024

Iwasawa $λ$ invariant and Massey product

Peikai Qi

We compute Iwasawa $λ$ invariant in terms of Massey products in Galois cohomology with restricted ramification. When applied to imaginary quadratic fields and cyclotomic fields, we…

math.CO2023

Multivariate Fibonacci-like Polynomials and their Applications

Sejin Park, Etienne Phillips, Peikai Qi +2

The Fibonacci polynomials are defined recursively as $f_{n} (x) = x f_{n - 1} (x) + f_{n - 2} (x)$ , where $f_{0} (x) = 0$ and $f_{1} (x) = 1$ . We generalize these polynomials to an arbitrary number o…

On the Non p-Rationality and Iwasawa Invariants of Certain Real Quadratic Fields

Iwasawa λ invariant and Massey product

Multivariate Fibonacci-like Polynomials and their Applications

Iwasawa $λ$ invariant and Massey product