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math.NT2024
Exponential sums twisted by general arithmetic functions
Anji Dong, Nicolas Robles, Alexandru Zaharescu +1
We examine exponential sums of the form , for , where satisfies a generalized Diophantine approximation and where are different arit…
math.NT2024
Strange and pseudo-differentiable functions with applications to prime partitions
Anji Dong, Nicolas Robles, Alexandru Zaharescu +1
Let denote the number of partitions of into -full primes. We use the Hardy-Littlewood circle method to find the asymptotic of $\mathfrak{p}_…