Ayşe Alaca

collaborators

3 papers

math.CO2019

Jacobi Sums and Correlations of Sidelnikov Sequences

Ayse Alaca, Goldwyn Millar

We consider the problem of determining the cross-correlation values of the sequences in the families comprised of constant multiples of $M$ -ary Sidelnikov sequences over $\mathbb{F…

math.NT2016

A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem

Ayse Alaca, Saban Alaca, Zafer Selcuk Aygin

Let $k \geq 2$ be an integer and $j$ an integer satisfying $1 \leq j \leq 4 k - 5$ . We define a family ${C_{j, k} (z)}_{1 \leq j \leq 4 k - 5}$ of eta quotients, and prove that this fami…

math.NT2016

Representations by octonary quadratic forms with coefficients $1$ , $2$ , $3$ or $6$

Ayşe Alaca, M. Nesibe Kesicioğlu

Using modular forms we determine formulas for the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients $1$ , $2$ , $3$ or $6$ .

Jacobi Sums and Correlations of Sidelnikov Sequences

A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem

Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

Representations by octonary quadratic forms with coefficients $1$ , $2$ , $3$ or $6$