Ayşe Alaca

activity

20162022

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

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

cs.IT2022

Low-Density Spreading Design Based on an Algebraic Scheme for NOMA Systems

Goldwyn Millar, Michel Kulhandjian, Ayse Alaca +3

NOMA) technique based on an algebraic design is studied. We propose an improved low-density spreading (LDS) sequence design based on projective geometry. In terms of its bit error…

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★ 1 cited

Eta quotients, Eisenstein series and Elliptic Curves

Ayse Alaca, Saban Alaca, Zafer Selcuk Aygin

We express all the newforms of weight $2$ and levels $30$ , $33$ , $35$ , $38$ , $40$ , $42$ , $44$ , $45$ as linear combinations of eta quotients and Eisenstein series, and list their co…

math.NT2016★ 2 cited

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 $6$ .