# Tagged Questions

For questions on exponential sums, such as $\sum \exp(2\pi ix_n)$.

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### Solving for coefficients in half sum of two exponential functions

Let $$G(x) = \frac{\exp(-ax) + \exp(-bx)}{2}$$ I need to find the coefficients $a$ and $b$. Given: A table of 10 values of x and their corresponding G(x) values. I need some help in figuring out ...
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### binary search tree size calculation

how do I calculate the number of elements a binary search tree can hold if have the height? For example a tree of height 3 can have 7 elements (7=1+2+4), and a tree of height 4 can have 15 elements (...
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### Additive character sum over additive subgroups of finite fields, with special monomial arguments

Let $F$ be a finite field with $q = p^n$ elements, let $\psi$ be a non-trivial additive character of $F$, let $m$ be an integer coprime to $q-1$, and let $K$ be a large subspace of $F$, say $K$ is the ...
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### Additive character sum over intersection of additive and multiplicative subgroups of finite fields

Let $H$ be a multiplicative subgroup of the finite field $\mathbb{F}_q$ with $q$ elements, say $H$ is the subgroup of $d$-th powers, $d \mid q-1$. Let $L$ be a subspace of $\mathbb{F}_q$ over some ...