Work

A Proof of Conjecture 2 of Chamberland and Dilcher

Year: 2026

Type: preprint

Abstract: This paper proves Conjecture 2 of Chamberland and Dilcher concerning the floor-function differences (d_n(\ell)). The proof interprets (d_n(\ell)) as a counting problem and uses a reflection identity from Chamberland and Dilcher to construct the required consecutive zero blocks. It also proves that the zero blocks lie in the required range and are pairwise disjoint.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24062059

Author: Huynh, Andy

Institution: San Jose State University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225567944

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