03000nam 2200565 450 991048071010332120170816143257.01-4704-0117-7(CKB)3360000000464722(EBL)3113792(SSID)ssj0000889121(PQKBManifestationID)11483296(PQKBTitleCode)TC0000889121(PQKBWorkID)10866577(PQKB)10252595(MiAaPQ)EBC3113792(PPN)195414217(EXLCZ)99336000000046472220140902h19941994 uy 0engur|n|---|||||txtccrOn the correlation of multiplicative and the sum of additive arithmetic functions /P.D.T.A. ElliottProvidence, Rhode Island :American Mathematical Society,1994.©19941 online resource (102 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 112, Number 538"November 1994, Volume 112, Number 538 (second of 4 numbers)."0-8218-2598-4 Includes bibliographical references.""Contents""; ""Introduction""; ""1. Correlations of Multiplicative Functions""; ""1.1 Conjectures and Results""; ""1.2 Applications of Theorem 1.1""; ""2. The Method of the Stable Dual (1): Deriving the Approximate Functional Equations""; ""2.1 Background Philosophy""; ""2.2 Operator Norm Inequalities""; ""2.3 Deriving the Approximate Functional Equations""; ""3. The Method of the Stable Dual (2): Solving the Approximate Functional Equations""; ""4. Orthogonality of Operators and the Present Application of the Method to the Study of Correlations""""5. Correlations: Main Lemma in the Proof of Theorem 1.1""""6. Correlations: Auxiliary Lemmas for the Proof of Theorem 1.1""; ""7. Correlations: An Approximate Functional Equation and Its Solution""; ""8. Correlations: Proof of the Main Lemma (completion)""; ""9. Correlations: Proof of Theorem 1.1""; ""10. Sums of Additive Functions""; ""10.1 Limits of Frequencies""; ""10.2 Auxiliary Results""; ""10.3 Proof of Theorem 10.1, Beginning""; ""10.4 Proof of Theorem 10.1, Continued""; ""10.5 Proof of Theorem 10.1, Necessity""; ""10.6 Proof of Theorem 10.1, Sufficiency""""11. Afterwords: Further Possibilities""""References ""Memoirs of the American Mathematical Society ;Volume 112, Number 538.Arithmetic functionsNumber theoryElectronic books.Arithmetic functions.Number theory.512/.73Elliott P. D. T. A(Peter D. T. A.),962489MiAaPQMiAaPQMiAaPQBOOK9910480710103321On the correlation of multiplicative and the sum of additive arithmetic functions2182601UNINA