Browsing by Subject "Modular Forms"

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The Riemann Hypothesis for Period Polynomials of Modular and Hilbert Modular Forms

Hamdar, Mohammad Hussein (4/30/2021)

We study the location of the zeros of period polynomials of modular forms. For an even weight $k\geq 4$ newform $f\in S_k^{\text{new}}(\Gamma_0(N))$, we show that the zeros of its period polynomial $r_f(z)$ lie on the ...
Theta Series and its Application to Sums of Squares

Abou Khalil, Charbella (9/21/2020)

Let Q be a positive definite quadratic form on Z^k. Consider the Theta Function defined by ∑e(Q(m) z) for some z in the upper half plane. As an interesting application of Modular Forms, we study the number of representations ...

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Browsing by Subject "Modular Forms"

Browsing by Subject "Modular Forms"

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All of AUB ScholarWorks

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Copyright Statement