Number Theory Web Seminar: Joni Teräväinen (University of Turku)

Short exponential sums of the primes

I will discuss the short interval behaviour of the von Mangoldt and Möbius functions twisted by exponentials. I will in particular mention new results on sums of these functions twisted by polynomial exponential phases, or even more general nilsequence phases. I will also discuss connections to Chowla's conjecture. This is based on joint works with Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao, Terence Tao and Tamar Ziegler.

For further information about the seminar, please visit this webpage.

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