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On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions (Memoirs of the American Mathematical Society) - Softcover
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This work applies stability properties of the dual of a certain arithmetic operator to study the correlation of multiplicative arithmetic functions. The literature of number theory contains very little concerning such correlations despite their direct connection with the problem of prime pairs and Goldbach's conjecture concerning the representation of even integers as the sum of two primes. Elliott aims for a result of wide uniformity under very weak hypotheses. The uniformity obtained here enables a comprehensive investigation of the value distribution of sums of additive arithmetic functions on distinct arithmetic progressions. The underlying argument, which Elliott calls the method of the stable dual, has received no unified account in the literature. A short overview of the method, with historical remarks, is presented. The principal results presented here are all new and currently beyond the reach of any other method.
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This work applies stability properties of the dual of a certain arithmetic operator to study the correlation of multiplicative arithmetic functions. The literature of number theory contains very little concerning such correlations despite their direct connection with the problem of prime pairs and Goldbach's conjecture concerning the representation of even integers as the sum of two primes. Elliott aims for a result of wide uniformity under very weak hypotheses. The uniformity obtained here enables a comprehensive investigation of the value distribution of sums of additive arithmetic functions on distinct arithmetic progressions. The underlying argument, which Elliott calls the method of the stable dual, has received no unified account in the literature. A short overview of the method, with historical remarks, is presented. The principal results presented here are all new and currently beyond the reach of any other method.
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On the correlation of multiplicative and the sum of additive arithmetic functions. Memoirs of the American Mathematical Society; 538.
Verlag:
Providence, American Math. Soc, 1994
ISBN 10: 0821825984
ISBN 13: 9780821825983
Gebraucht
Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00793 9780821825983 Sprache: Englisch Gewicht in Gramm: 150. Bestandsnummer des Verkäufers 2484632
Anzahl: 1 verfügbar
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On the correlation of multiplicative and the sum of additive arithmetic functions P.D.T.A. Elliott. Memoirs of the American Mathematical Society 538.
Verlag:
Providence, American Mathematical Society, 1994
ISBN 10: 0821825984
ISBN 13: 9780821825983
Gebraucht
Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 ELL 9780821825983 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2504053
Anzahl: 1 verfügbar
Foto des Verkäufers
On the correlation of multiplicative and the sum of additive arithmetic functions P.D.T.A. Elliott. Memoirs of the American Mathematical Society 538.
Verlag:
Providence, American Mathematical Society, 1994
ISBN 10: 0821825984
ISBN 13: 9780821825983
Gebraucht
Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 ELL 9780821825983 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2501831
Anzahl: 1 verfügbar