Let \(f(z)\) be a holomorphic cusp form of weight \(k\) for \(SL_{2}(\mathbb Z)\), and \(e(t)=e^{2 \pi i t}\). The function \(f(z)\) has a Fourier expansion \(f(z)= \sum_{n=1}^{\infty} a(n) n^{(k-1)/2}e(nz),\) where \(a(n) \ll n^{\varepsilon}\) for any \(\varepsilon > 0\), due to Deligne. If \( S_{a}(\alpha)= \sum_{n \leq X} a(n)e( \alpha n),\) it is well known that \(S_{a}(\alpha) \ll X^{1/2} \log X\) for any \( \alpha \in \mathbb R\). This result shows not only that the coefficients \(a(n)\) are oscillatory, but that the variations in sign are independent of additive characters. Similarly, let \(u(z)\) be a Maass cusp form for SL\(_{2}( \mathbb Z)\) satisfying \(Du = \lambda u\), where \(D\) is the Laplacian and \( \lambda=\frac{1}{4}+r^{2}\) a complex number. Then \(u(z)\) has a Fourier expansion \(u(z)=u(x+iy)=2y^{1/2} \sum_{n \neq 0} \rho(n) K_{ir}(2 \pi | n| y)e(nx),\) where \(K\) denotes the \(K\)-Bessel function. If \(S_{\rho}(\alpha)=\sum_{n \leq X} \rho(n)e(\alpha n)\) then again \[ S_{\rho}(\alpha) \ll X^{1/2} \log X. \] The author considers the following generalization: \[ S_{a}( \alpha, \beta)=\sum_{n \leq X}a(n)e(\alpha n^{2}+\beta n) ,\qquad S_{\rho}(\alpha, \beta)=\sum_{n \leq X} \rho(n)e( \alpha n^{2}+\beta n), \] of the above sums \(S_{a}(\alpha)\), \(S_{\rho}(\alpha)\), where \(\alpha,\beta \in \mathbb R\), and proves that \[ S_{a}(\alpha, \beta) \ll X^{\frac{15}{16}+\varepsilon},\qquad S_{\rho}(\alpha, \beta) \ll X^{\frac{15}{16}+\varepsilon} \] for any \(\varepsilon > 0\).