Exponential sums with multiplicative coefficients without the Ramanujan conjecture
Overview & Synopsis
We study the exponential sum involving multiplicative function f under milder conditions on the range of f , which generalizes the work of Montgomery and Vaughan. As an application, we prove cancellation in the sum of additively twisted coefficients of automorphic L-function on GL m (m 4), uniformly in the additive character.
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Document Information
| Document Title | Exponential sums with multiplicative coefficients without the Ramanujan conjecture |
|---|---|
| Author / Organization | Yujiao Jiang, Guangshi Lü, Zhiwei Wang |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2021 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-239824 |
| Original Source Link | Visit Source Page on hal.science » |