Abstract
In this paper, employing some identities due to Newman, we present a new method for discovering infinite families of congruences and strange congruences
for
Here
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12371334
Funding statement: This work was supported by the National Science Foundation of China (no. 12371334) and the Natural Science Foundation of Jiangsu Province of China (no. BK20221383).
Acknowledgements
The author would like to express his sincere gratitude to the anonymous referee for his/her careful reading of the manuscript and many constructive suggestions.
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Articles in the same Issue
- Frontmatter
- Rings of differential operators on (k,s)-th Tjurina algebras of singularities
- Cokernels of random matrix products and flag Cohen–Lenstra heuristic
- Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling
- The L p -L q compactness of commutators of oscillatory singular integrals
- Determination of a pair of newforms from the product of their twisted central values
- Metrical properties of exponentially growing partial quotients
- Nonlinear operations and factorizations on a class of affine modulation spaces
- On algebraic degrees of certain exponential sums over finite fields
- The ranks of (a,b)-Fibonacci sequences and congruences for certain partition functions and Ramanujan's mock theta functions
- Dynamics of radial threshold solutions for generalized energy-critical Hartree equation
- Modular representations of GL2(𝔽𝑞) using calculus
- Bounding the number of p'-degree characters from below
- Existence and multiplicity of non-radial sign-changing solutions for a semilinear elliptic equation in hyperbolic space
- Duality theorems for polyanalytic functions
- Lower bounds for the number of number fields with Galois group GL2(𝔽ℓ)
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