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Selberg Sieve
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Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025
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High Quality Content by WIKIPEDIA articles! In mathematics, in the field of number theory, the Selberg sieve is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which are expressed by congruences. It was developed by Atle Selberg in the 1940s.In terms of sieve theory the Selberg sieve is of combinatorial type: that is, derives from a careful use of the inclusion-exclusion principle. Selberg replaced the values of the Möbius function which arise in this by a system of weights which are then optimised to fit the given problem. The result gives an upper bound for the size of the sifted set.Let A be a set of positive integers x and let P be a set of primes. For each p in P, let Ap denote the set of elements of A divisible by p and extend this to let Ad the intersection of the Ap for p dividing d, when d is a product of distinct primes from P. Further let A1 denote A itself. Let z be a positive real number and P(z) denote the product of the primes in P which are z. The object of the sieve is to estimate
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131172892
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H5mm x B220mm x T150mm
- EAN 9786131172892
- Format Fachbuch
- Titel Selberg Sieve
- Gewicht 128g
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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