Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Discrete Double Hilbert Exponential Sums Along Polynomials

Version 1 : Received: 11 October 2021 / Approved: 13 October 2021 / Online: 13 October 2021 (13:16:34 CEST)
Version 2 : Received: 15 November 2021 / Approved: 17 November 2021 / Online: 17 November 2021 (11:06:10 CET)

How to cite: Song, H. Discrete Double Hilbert Exponential Sums Along Polynomials. Preprints 2021, 2021100204. https://doi.org/10.20944/preprints202110.0204.v2 Song, H. Discrete Double Hilbert Exponential Sums Along Polynomials. Preprints 2021, 2021100204. https://doi.org/10.20944/preprints202110.0204.v2

Abstract

Discrete Double Hilbert Exponential sums along polynomials. This is preprint version (not peer reviewed) And we now check the proof of (ii) of Lemma 3.2 whether it is really true.

Keywords

Discrete; Double Hilbert transform; Circle method; exponential sums; discrete double Hilbert transform; discrete double exponential sums; Newton diagram

Subject

Computer Science and Mathematics, Discrete Mathematics and Combinatorics

Comments (2)

Comment 1
Received: 17 November 2021
Commenter: HoYoung Song
Commenter's Conflict of Interests: Author
Comment: There is tremendous error in my previous paper. so I want to submit new version of my paper.
+ Respond to this comment
Response 1 to Comment 1
Received: 5 December 2021
Commenter:
The commenter has declared there is no conflict of interests.
Comment: We finally find perfect proof of l2 boundedness of discrete double hilbert transform. This will be published.

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