Proof of some conjectures of Guo and of Tang
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Guoping Gu
Abstract
Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation. In this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again, we provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12371331
Funding source: Natural Science Foundation of Shanghai
Award Identifier / Grant number: 22ZR1424100
Funding statement: This work is supported by National Natural Science Foundation of China (No. 12371331) and Natural Science Foundation of Shanghai (No. 22ZR1424100).
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Articles in the same Issue
- Frontmatter
- Square-integrable representations and the coadjoint action of solvable Lie groups
- Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices
- Nef vector bundles on a hyperquadric with first Chern class two
- Scaling spectrum of a class of self-similar measures with product form on ℝ
- Idempotent decomposition of regularity and characterization for the accumulation of associated spectrum
- Geodesic orbit Randers metrics in homogeneous bundles over generalized Stiefel manifolds
- Proof of some conjectures of Guo and of Tang
- On Absolute and Quantitative Subspace Theorems
- Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic
- Geometric approach to the Moore–Penrose inverse and the polar decomposition of perturbations by operator ideals
- The Weil bound for generalized Kloosterman sums of half-integral weight
- Relative Rota–Baxter groups and skew left braces
- Asai gamma factors over finite fields
- Representations of non-finitely graded Lie algebras related to Virasoro algebra
- Multiple solutions for fractional elliptic systems
- Arithmetic Bohr radius for the Minkowski space
- On Strichartz estimates for many-body Schrödinger equation in the periodic setting
