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Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy

Koustav Banerjee, Manosij Ghosh Dastidar

math.NTarXiv:2610.20135

Abstract

In this paper, we give a family of the arithmetic progressions in which the numbers of odd unimodal and odd strongly unimodal sequences are divisible by 2 and by 4. In particular, we answer a question of Bringmann and Lovejoy on the existence of such arithmetic progressions for odd strongly unimodal sequences modulo 4.

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