Foivos Chnaras

collaborators

3 papers

math.NT2026

On the Iwasawa $I^»$ -invariant of the cyclotomic $Z_{2}$ -extension of a family of real quadratic fields in which $2$ splits

JosuÃ© Ãvila, Foivos Chnaras

We study Greenberg's conjecture for cyclotomic $Z_{2}$ -extensions of real quadratic fields. Let $K = Q (pq)$ , where $$ p\equiv 1 \mod 8,\qquad q\equiv 9 \mod {1…

math.NT2025

The Structure and Degrees of Polynomials Computing Square Roots $mod p$

Foivos Chnaras, Noah Kupinsky

For an odd prime $p$ , we say a polynomial $f \in F_{p} [X]$ computes square roots if $f (a)^{2} = a$ for all nonzero, perfect squares $a \in F_{p}$ . When $p \equiv 3 mod 4$ , it…

math.NT2025

On the cyclotomic Iwasawa invariants of elliptic curves of rank one

Foivos Chnaras

Fix an elliptic curve $E$ over $Q$ of rank $1$ . In this paper, we develop an explicit numerical criterion, comparable to Gold's criterion, that determines whether the Iwasa…

On the Iwasawa I^»-invariant of the cyclotomic Z2​-extension of a family of real quadratic fields in which 2 splits

The Structure and Degrees of Polynomials Computing Square Roots modp

On the cyclotomic Iwasawa invariants of elliptic curves of rank one

On the Iwasawa $I^»$ -invariant of the cyclotomic $Z_{2}$ -extension of a family of real quadratic fields in which $2$ splits

The Structure and Degrees of Polynomials Computing Square Roots $mod p$