Menny Aka

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20182026

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math.NT2026

Planes in quadratic 4-space and associated shapes of lattices

Menny Aka, Konstantin Andritsch, Andreas Wieser

Let $Q = - x_{1}^{2} - x_{2}^{2} - x_{3}^{2} + x_{4}^{2}$ be the standard signature $(1, 3)$ quadratic form. To each non-degenerate rational plane $L$ in the four-dimensional quadratic space $(\mathbb{Q}^4,…

math.NT2025

Fibonacci sequences in $F_{p}$

Menny Aka

We prove a conjecture due to Gica (Fibonacci Quarterly, 2008). Our proof is simple, uses only elementary abstract algebra, and generalizes to other recursive sequences.

math.NT2018

Continued Fractions of Arithmetic Sequences of Quadratics

Menny Aka

Let x be a quadratic irrational and let P be the set of prime numbers. We show the existence of an infinite subset S of P such that the statistics of the period of the continued fr…

Planes in quadratic 4-space and associated shapes of lattices

Fibonacci sequences in Fp​

Continued Fractions of Arithmetic Sequences of Quadratics

Fibonacci sequences in $F_{p}$