Banu Aydin

collaborators

2 papers

math.NT2026

On the Diophantine Inequality $∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$

Banu İrez Aydın, Herbert Batte, İlker İnam +2

In this paper, we show that there are $57$ nonnegative integer solutions $(a, b, x)$ to the inequality $1 \leq ∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$ and we list them e…

math.NT2023

On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products

Banu Irez Aydin, Ilker Inam

Systematic choice of the Hecke eigenforms of half-integral weight is an interesting problem in the theory of modular forms. In this paper, we find all Dedekind-eta products of half…

On the Diophantine Inequality ∣x2−2a⋅3b∣<3max{a,b}

On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products

On the Diophantine Inequality $∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$