\(p\)-adic valuation of \(\prod_{k=m+1}^n (k^2-m^2)\)
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Publication:6546721
zbMATH Open1545.11003MaRDI QIDQ6546721
Publication date: 30 May 2024
Published in: Integers (Search for Journal in Brave)
Cites Work
- Title not available (Why is that?)
- On the products \((1^\ell + 1)(2^\ell + 1)\cdots(n^\ell + 1)\). II
- Powerful numbers in \((1^k +1)(2^k+1) \cdots (n^k +1)\)
- Diophantine equations with products of consecutive values of a quadratic polynomial
- On squares in polynomial products
- Arithmetical properties of a sequence arising from an arctangent sum
- Squares in \((1^2+1)\dots(n^2+1)\)
- A note on the products \((1^\mu +1)(2^\mu +1)\dots (n^\mu +1)\)
- Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers
- Numbers of the form \((1^{\ell}+q^{\ell})(2^{\ell}+q^{\ell})\cdots(n^{\ell}+q^\ell)\) that are not powerful
- On the products \((1^{3}+q^{3})(2^{3}+q^{3})\cdots (n^{3}+q^{3})\)
- On the products \((1^\ell +1)(2^\ell +1)\cdots (n^\ell +1)\)
- A note on the products \(((m+1)^{2}+1)((m+2)^{2}+1)\cdots(n^{2}+1)\) and \(((m+1)^{3}+1)((m+2)^{3}+1)\cdots(n^{3}+1)\)
- SQUARES IN (22 - 1)…(n2 - 1) AND p-ADIC VALUATION
- Neither (4k 2 + 1) nor (2k(k – 1) + 1) is a Perfect Square
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