Exponential Sums forGL(n) and Their Applications to Base Change

✍ Scribed by Ye Yangbo

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 387 KB
• Volume: 68
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1997.2196

✦ Synopsis

We prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadratic extension field. The identity matches two Shalika germs of a relative trace formula for GL(n) which might be used to characterize the image of quadratic base change for GL(n).