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Supercongruences involving Domb numbers and binary quadratic forms

In this paper, we prove two recently conjectured supercongruences (modulo [Formula: see text] , where p is any prime greater than 3) of Zhi-Hong Sun on truncated sums involving the Domb numbers. Our proofs involve a number of ingredients such as congruences involving specialized Bernoulli polynomial...

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Detalles Bibliográficos
Autores principales: Mao, Guo-Shuai, Schlosser, Michael J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10547664/
https://www.ncbi.nlm.nih.gov/pubmed/37800097
http://dx.doi.org/10.1007/s13398-023-01509-4