Square-full polynomials in short intervals and in arithmetic progressions

E. Roditty-Gershon*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)
210 Downloads (Pure)

Abstract

We study the variance of sums of the indicator function of square-full polynomials in both arithmetic progressions and short intervals. Our work is in the context of the ring Fq[ T] of polynomials over a finite field Fq of q elements, in the limit q→ ∞. We use a recent equidistribution result due to N. Katz to express these variances in terms of triple matrix integrals over the unitary group, and evaluate them.

Original languageEnglish
Article number3
Number of pages18
JournalResearch in Number Theory
Volume3
DOIs
Publication statusPublished - 17 Jan 2017

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