Supercongruences involving Domb numbers and binary quadratic forms
DOI10.1007/s13398-023-01509-4zbMath1530.11004arXiv2112.12732MaRDI QIDQ6085360
Guo-Shuai Mao, Michael J. Schlosser
Publication date: 8 November 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12732
congruencesbinary quadratic formsbinomial coefficientsharmonic numbershypergeometric transformationDomb numbers
Binomial coefficients; factorials; (q)-identities (11B65) Sums of squares and representations by other particular quadratic forms (11E25) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) General binary quadratic forms (11E16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
- Congruences concerning Bernoulli numbers and Bernoulli polynomials
- On congruences for binomial coefficients
- Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
- Supercongruences for sums involving Domb numbers
- Proof of some conjectural congruences involving Domb numbers and binary quadratic forms
- Congruences involving Bernoulli and Euler numbers
- Symbolic summation assists combinatorics
- IDENTITIES AND CONGRUENCES FOR A NEW SEQUENCE
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- Super congruences for two Apéry-like sequences
- Telescoping method and congruences for double sums
- On some congruences involving Domb numbers and harmonic numbers
- Supercongruences and binary quadratic forms
- Congruences involving binomial coefficients and Apery-like numbers
- Congruences for Domb and Almkvist-Zudilin numbers
This page was built for publication: Supercongruences involving Domb numbers and binary quadratic forms
