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Shifted Convolution Sums for Higher Rank Groups by Yujiao Jiang; Guangshi Lü is a Mathematics article available to read on EtoBox.
What is Shifted Convolution Sums for Higher Rank Groups about?
## Abstract In this paper, we study some shifted convolution sums for higher rank groups. In particular, we establish an asymptotic formula for a GL ( 4 ) × GL ( 2 ) {\mathrm{GL}(4)\times\mathrm{GL}(2)} shifted convolution sum ∑ n ≤ x | λ f ( n ) | 2 r l ( n + b ) , \sum\_{n\leq x}\lvert\lambda\_{f}(n)\rvert^{2}r\_{l}(n+b), where λ f ( n ) {\lambda\_{f}(n)} are normalized Fourier coefficients of a Hecke holomorphic cusp form and r l ( n ) {r\_{l}(n)} denotes the number of representations of __n__ by the quadratic form x 1 2 + ⋯ + x l 2 {x\_{1}^{2}+\cdots+x\_{l}^{2}} .
Who reads Shifted Convolution Sums for Higher Rank Groups?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yujiao Jiang; Guangshi Lü
- Publisher
- Walter de Gruyter GmbH
- Published
- 2018
- Language
- EN
- Field
- Mathematics (Physical Sciences)