Publications

Florian Münkel, Lerna Pehlivan, Kenneth S. Williams (2022). Arithmetic Properties of the Ternary Quadratic Form

3 x^{2} + 6 y^{2} + 14 z^{2} + 4 y z + 2 z x + 2 x y

. In INTEGERS.

Feryal Alayont, Gizem Karaali, Lerna Pehlivan (2022). Analysis of Calculus Textbook Problems via Bloom's Taxonomy. In PRIMUS, 2022.

Z. Selcuk Aygin, Greg Doyle, Florian Münkel, Lerna Pehlivan, Kenneth S. Williams (2021). Representation Numbers of Spinor Regular Ternary Quadratic Forms. In INTEGERS.

Greg Doyle, Joseph B. Muskat, Lerna Pehlivan, Kenneth S. Williams (2019). Positive Integers Represented by Regular Primitive Positive-Definite Integral Ternary Quadratic Forms. In INTEGERS.

Lerna Pehlivan, Kenneth S. Williams (2018). Positive-definite ternary quadratic forms which are (4,1)-universal and (4,3)-universal. In INTEGERS.

Lerna Pehlivan, Kenneth S. Williams (2018).

(k, l)

-universality of ternary quadratic forms

a x^{2} + b y^{2} + c z^{2}

. In INTEGERS.

Neal Madras, Lerna Pehlivan (2016). Large deviations for permutations avoiding monotone patterns. In The Electronic Journal of Combinatorics.

Neal Madras, Lerna Pehlivan (2015). Structure of random 312-avoiding permutations. In Random Structures & Algorithms.

Lerna Pehlivan, Kenneth S. Williams (2015). Some new evaluations of the Legendre symbol

(\frac{a + b \sqrt{q}}{p})

. In Acta Arithmetica.

Saban Alaca, Lerna Pehlivan, Kenneth S. Williams (2014). On the number of representations of a positive integer as a sum of two binary quadratic forms. In International Journal of Number Theory.

Lerna Pehlivan, Kenneth S. Williams (2014). The power series expansion of certain infinite products

q^{r} \prod_{n = 1}^{\infty} (1 - q^{n})^{a_{1}} (1 - q^{2 n})^{a_{2}} \dots (1 - q^{m n})^{a_{m}}

. In Ramanujan Journal.

Feryal Alayont, Gizem Karaali, Lerna Pehlivan (2013). What Does It Take to Teach Non-Majors Effectively?. In MAA FOCUS.

Saban Alaca, Lerna Pehlivan, Kenneth S. Williams (2012). Some product-to-sum identities. In Journal of Combinatorics and Number Theory.

Lerna Pehlivan (2010). No feedback card guessing for top to random shuffle.