Exact Cancellation in Half-Range Quartic Exponential Sums Modulo Powers of Two

This preliminary mathematical note investigates half-range quartic exponential sums modulo powers of two. It examines exact cancellation under specific congruence conditions and presents an elementary pairing argument. The manuscript is a preliminary study and has not been peer-reviewed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23766502
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Exact Cancellation in Half-Range Quartic Exponential Sums Modulo Powers of Two

Zaki Ali Daghmash Daghmash
1 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Exact Cancellation in Half-Range Quartic Exponential Sums Modulo Powers of Two

Zaki Ali Daghmash Daghmash
preprint en

Abstract

This preliminary mathematical note investigates half-range quartic exponential sums modulo powers of two. It examines exact cancellation under specific congruence conditions and presents an elementary pairing argument. The manuscript is a preliminary study and has not been peer-reviewed.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Exact Cancellation in Half-Range Quartic Exponential Sums Modulo Powers of Two — Zaki Ali Daghmash Daghmash · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS