Dissertation defence (mathematics): MSc Yu-Chen Sun

MSc Yu-Chen Sun defends the dissertation in mathematics titled ”Topics in analytic number theory and additive combinatorics”.

The audience can participate in the defence also through remote access: https://utu.zoom.us/j/65086340107

Opponent: Associate Professor Oleksiy Klurman

Custos: Professor Kaisa Matomäki, University of Turku

Doctoral Dissertation at UTUPub: https://urn.fi/URN:NBN:fi-fe2024070960905

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Summary of the Doctoral Dissertation:

In my dissertation, I explored topics in analytic number theory and additive combinatorics.

The key findings in my thesis are as follows:
• We discovered many prime patterns involving both small and large prime gaps;
• Our study focused on the average of additive characters twisted by multiplicative functions over short intervals;
• We identified additive structures within sparse subsets of primes;
• We derived asymptotic formulas for a specific class of multiplicative functions in almost all short intervals.

My research introduces new ideas that aim to enhance understanding of these two research fields.