Generalization of a theorem of Vélez on uniform distribution in second-order linear recurrences

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00605039" target="_blank" >RIV/67985840:_____/25:00605039 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.5281/zenodo.14679255" target="_blank" >https://doi.org/10.5281/zenodo.14679255</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5281/zenodo.14679255" target="_blank" >10.5281/zenodo.14679255</a>

Result language

angličtina

Original language name

Generalization of a theorem of Vélez on uniform distribution in second-order linear recurrences

Original language description

We generalize a result by Vélez on second-order linear recurrence sequences that are uniformly distributed modulo a prime power. Vélez showed that if a secondorder linear recurrence is uniformly distributed modulo a prime power $p^e$, then each residue modulo $p^e$ also appears exactly once in a particular finite subsequence of that recurrence. We find more general finite subsequences such that each residue modulo $p^e$ appears exactly $r$ times in that subsequence, where $r$ may be greater than 1.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Integers. Electronic Journal of Combinatorial Number Theory

ISSN

1553-1732

e-ISSN

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Volume of the periodical

25

Issue of the periodical within the volume

January

Country of publishing house

DE - GERMANY

Number of pages

9

Pages from-to

A1

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85216777168