Conference Agenda
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Daily Overview |
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NT4: Number Theory Location: M629 Session Chair: Ozlem Imamoglu Session Chair: Anna-Maria Pippich | |
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On a shifted convolution problem and lattice point counting University of Bonn, Germany In the 90's it was observed that the shifted convolution sum $S(X,m)=\sum_{n\leq X}r(n)r(n+m)$ is closely related to a certain hyperbolic lattice point count. Based on this observation F. Chamizo (1999) established an asymptotic formula for $S(X,m)$ with high uniformity in $m$. However, his main result is conditional on an upper bound for a spectral moment of automorphic forms. In this talk we will revisit Chamizo's results and discuss how they can be made unconditional. | |
