A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration

Fuente: arXiv
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Autores principales: Bhatnagar, Gaurav, Prasad, Amritanshu
Formato: Preprint
Publicado: 2026
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author Bhatnagar, Gaurav
Prasad, Amritanshu
author_facet Bhatnagar, Gaurav
Prasad, Amritanshu
contents We prove a conjecture that arose in the context of a subspace enumeration problem over finite fields. We prove, more generally, a bibasic, double-sum identity, which extends a $q$-analogue of the (terminating) binomial theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2605_01747
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
Bhatnagar, Gaurav
Prasad, Amritanshu
Combinatorics
Classical Analysis and ODEs
Number Theory
05A19, 33D15, 33D65
We prove a conjecture that arose in the context of a subspace enumeration problem over finite fields. We prove, more generally, a bibasic, double-sum identity, which extends a $q$-analogue of the (terminating) binomial theorem.
title A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
topic Combinatorics
Classical Analysis and ODEs
Number Theory
05A19, 33D15, 33D65
url https://arxiv.org/abs/2605.01747