Work

On congruences of sixth order mock theta function

Year: 2025

Type: article

Abstract: In a recent work, Kaur and Rana, obtained several Ramanujan-like congruences and established infinite families of congruences modulo 12 for the coefficients of sixth order mock theta functions λ(q) and ρ(q). Inspired by their approach, in this paper, we develop more generalized results. We extend and enrich their findings by deriving additional infinite families of congruences, including new congruences modulo 3, 6 and 9 for the functions λ(q) and ρ(q).

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.77152

Authors: Yudhisthira Jamudulia, Gouri Shankar Guru

Institution: Gangadhar Meher University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7128380425

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Cites: 17

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Related to: 10