See divisibility sequence in All languages combined, or Wiktionary
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"ref": "2012, P. Ingram, J. H. Silverman, “Primitive Divisors in Elliptic Divisibility Sequences”, in Dorian Goldfeld, Jay Jorgenson, Peter Jones, Dinakar Ramakrishnan, Kenneth Ribet, John Tate, editors, Number Theory, Analysis and Geometry, Springer,, page 244:",
"text": "If #x5C;mathcalC#x3D;(C#x5F;n)#x5F;#x7B;n#x5C;ge 1#x7D; is any divisibility sequence, one says that a prime p is a primitive divisor of C#x5F;n if p#x5C;vertC#x5F;n but p#x5C;nmidC#x5F;1C#x5F;2C#x5F;#x7B;n-1#x7D;. Primitive divisors of certain divisibility sequences were studied by Zsigmondy [37] in the 19ᵗʰ century.",
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"ref": "2013, Graham Everest, Thomas Ward, Heights of Polynomials and Entropy in Algebraic Dynamics, Springer, page 138:",
"text": "These divisibility sequences satisfy the same recurrence relations as the polynomials #x5C;phi#x5F;n and #x5C;psi²#x5F;n (see Appendix C).",
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"ref": "2021, Masum Billal, Samin Riasat, Integer Sequences, Springer, page 59:",
"text": "Moreover, in order to keep a divisibility sequence normalized, we can assume without loss of generality that a#x5F;0 = 0 and a#x5F;1#x3D;1.",
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"Any sequence of integers {aₙ}, indexed by the natural numbers, such that if n is divisible by m then aₙ is divisible by aₘ."
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"(number theory, algebra) Any sequence of integers {aₙ}, indexed by the natural numbers, such that if n is divisible by m then aₙ is divisible by aₘ."
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"word": "suite à divisibilité"
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"text": "If #x5C;mathcalC#x3D;(C#x5F;n)#x5F;#x7B;n#x5C;ge 1#x7D; is any divisibility sequence, one says that a prime p is a primitive divisor of C#x5F;n if p#x5C;vertC#x5F;n but p#x5C;nmidC#x5F;1C#x5F;2C#x5F;#x7B;n-1#x7D;. Primitive divisors of certain divisibility sequences were studied by Zsigmondy [37] in the 19ᵗʰ century.",
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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