Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Alaca, Ayse"'
Autor:
Millar, Goldwyn, Kulhandjian, Michel, Alaca, Ayse, Alaca, Saban, D'Amours, Claude, Yanikomeroglu, Halim
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 rate (BER) performance, our proposed improved LDS code set outperforms
Externí odkaz:
http://arxiv.org/abs/2201.00204
Autor:
Alaca, Ayse, Millar, Goldwyn
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 $\mathbb{F}_q$, where $q$ is a power of an odd prime $p$. We show that the cross
Externí odkaz:
http://arxiv.org/abs/1902.06728
We evaluate the convolution sum $\displaystyle W_{a,b}(n):= \sum_{al+bm=n} \hspace{-3mm} \sigma(l) \sigma(m)$ for $(a,b)=(1,28), (4,7), (2,7)$ for all positive integers $n$. We use a modular form approach. We also re-evaluate the known sums $W_{1,14}
Externí odkaz:
http://arxiv.org/abs/1607.06039
We find bases for the spaces $M_2\Big(\Gamma_0(24),\Big(\frac{d}{\cdot}\Big)\Big)$ ($d=1,8,12, 24$) of modular forms. We determine the Fourier coefficients of all $35$ theta products $\varphi[a_1,a_2,a_3,a_4](z)$ in these spaces. We then deduce formu
Externí odkaz:
http://arxiv.org/abs/1607.03997
Autor:
Alaca, Ayşe, Altiary, Mada
We determine explicit formulas for the number of representations of a positive integer $n$ by quaternary quadratic forms with coefficients $1$, $2$, $5$ or $10$. We use a modular forms approach.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1607.03196
Publikováno v:
Integers 18 (2018), A85 1-12
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 corresponding strong Weil curves. Let $p$ denote a prime and $E (\zz_p)$
Externí odkaz:
http://arxiv.org/abs/1604.07774
For all natural numbers $n$, we discuss the evaluation of the convolution sum, $\underset{\substack{{(l,m) \in \mathbb{N}_0^2} \\ {\alpha\,l+\beta\,m=n} } }{\sum}\sigma(l)\sigma(m)$, where $\alpha\beta=14,22,26$. We generalize the extraction of the c
Externí odkaz:
http://arxiv.org/abs/1604.02329
Let $k\geq 2$ be an integer and $j$ an integer satisfying $1\leq j \leq 4k-5$. We define a family $\{ C_{j,k}(z) \}_{1\leq j \leq 4k-5} $ of eta quotients, and prove that this family constitute a basis for the space $S_{2k} (\Gamma_0 (12))$ of cusp f
Externí odkaz:
http://arxiv.org/abs/1603.09412
Autor:
Alaca, Ayşe, Kesicioğlu, M. Nesibe
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 $6$.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1603.07780
Publikováno v:
ProQuest Full Text.
Thesis (Ph. D.)--Carleton University, 1995.
Also available in electronic format on the Internet.
Also available in electronic format on the Internet.
Externí odkaz:
http://proxy.library.carleton.ca/login?url=http://wwwlib.umi.com/cr/carleton/fullcit?pNN02939
