Extending Arithmetic Properties for Compositions Wherein Parts That Are Non-Multiples of k Can Be of t Kinds

Németh, László és Sellers, James A. és Szalay, László (2026) Extending Arithmetic Properties for Compositions Wherein Parts That Are Non-Multiples of k Can Be of t Kinds. PERIODICA MATHEMATICA HUNGARICA (Early Access). ISSN 0031-5303

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Absztrakt (kivonat)

In two papers published in Quaestiones Mathematicae , Munagi and Sellers considered the family of functions D_{k,t}(n) D k , t ( n ) that count the number of integer compositions of weight n in which parts not divisible by k can be of t kinds (subscripted 0, 1, \dots ,t-1 0 , 1 , ⋯ , t - 1 ). These are also closely related to “inplace” integer compositions of weight n . In their second paper, Munagi and Sellers proved a few divisibility properties satisfied by D_{k,t}(n) D k , t ( n ) for specific values of k , t , and n . In this work, we significantly extend these arithmetic properties, providing infinitely families of congruences. Our proof techniques are quite elementary, relying on the structure of the generating functions in question.

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természettudományok > matematika- és számítástudományok

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Mű tipusa:	Cikk
SWORD Depositor:	Teszt Sword
Felhasználó:	Csaba Horváth
A mű MTMT azonosítója:	MTMT:37092269
Dátum:	27 Ápr 2026 12:51
Utolsó módosítás:	27 Ápr 2026 12:51
URI:	http://publicatio.uni-sopron.hu/id/eprint/3986

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