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On the estimate for a double exponential sum

I encounter a hyper-Kloosterman sum which needs some help from the experts here: For any integers $q,s \in \mathbb{N}^+$(which may not be necessarily co-prime with each other), how to bound the sum: $$...
hofnumber's user avatar
  • 563
0 votes
0 answers
92 views

A question on the evaluations of certain three-dimensional hyper-Kloostermans

There is a basic question regrading the 3-dimensional hyper-Kloosterman sum which needs some help from the experts here: For any integers $q,h \in \mathbb{N}$, how to estimate the sum: $$\sideset{_{}^{...
hofnumber's user avatar
  • 563
2 votes
1 answer
154 views

On the estimate for the mixed 3-dimensional hyper-Kloosterman sum

There is a basic question regrading the mixed 3-dimensional hyper-Kloosterman sum: For any positive integer $n$ not divisible by $p$, how to prove $$\sideset{_{}^{}}{^{\ast}_{}}\sum _{x,y ,z\bmod p} \...
hofnumber's user avatar
  • 563