On sums of binomial coefficients modulo p2
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Publication:2893051
DOI10.4064/cm127-1-3zbMath1266.11035arXiv0910.5667OpenAlexW2962706258MaRDI QIDQ2893051
Publication date: 25 June 2012
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.5667
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Sums of squares and representations by other particular quadratic forms (11E25) Congruences; primitive roots; residue systems (11A07) Algebraic number theory: local fields (11S99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (8)
Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\) ⋮ Binomial coefficients, roots of unity and powers of prime numbers ⋮ Arithmetic properties of Delannoy numbers and Schröder numbers ⋮ The \(p\)-adic valuations of sums of binomial coefficients ⋮ A new series for π3and related congruences ⋮ Supercongruences involving Lucas sequences ⋮ On sums of binomial coefficients involving Catalan and delannoy numbers modulo \(p^2\) ⋮ On Motzkin numbers and central trinomial coefficients
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