Incomplete Kloosterman sums and Hooley's R$^*$-Conjecture
Ping Xi
TL;DR
This paper aimed to explore properties of incomplete Kloosterman sums and their relation to Hooley's R*-Conjecture, but was withdrawn due to invalid propositions.
Contribution
The paper attempted to establish new results connecting incomplete Kloosterman sums with Hooley's R*-Conjecture, but these results are invalid.
Findings
Proposition 1 was invalid.
The intended connections between sums and conjecture are unproven.
The paper was withdrawn due to errors.
Abstract
This paper has been withdrawn by the author because Proposition 1 is not valid.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Coding theory and cryptography