LEADER 03043nam 2200577 450 001 9910829051703321 005 20170816143257.0 010 $a1-4704-0117-7 035 $a(CKB)3360000000464722 035 $a(EBL)3113792 035 $a(SSID)ssj0000889121 035 $a(PQKBManifestationID)11483296 035 $a(PQKBTitleCode)TC0000889121 035 $a(PQKBWorkID)10866577 035 $a(PQKB)10252595 035 $a(MiAaPQ)EBC3113792 035 $a(RPAM)653279 035 $a(PPN)195414217 035 $a(EXLCZ)993360000000464722 100 $a20140902h19941994 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn the correlation of multiplicative and the sum of additive arithmetic functions /$fP.D.T.A. Elliott 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1994. 210 4$dİ1994 215 $a1 online resource (102 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 112, Number 538 300 $a"November 1994, Volume 112, Number 538 (second of 4 numbers)." 311 $a0-8218-2598-4 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""11. Afterwords: Further Possibilities""""References "" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 112, Number 538. 606 $aArithmetic functions 606 $aNumber theory 615 0$aArithmetic functions. 615 0$aNumber theory. 676 $a512/.73 700 $aElliott$b P. D. T. A$g(Peter D. T. A.),$01647565 712 02$aAmerican Mathematical Society. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829051703321 996 $aOn the correlation of multiplicative and the sum of additive arithmetic functions$93995202 997 $aUNINA LEADER 01720nam 2200457 a 450 001 9911004863303321 005 20230915232215.0 010 $a1-61583-194-0 035 $a(CKB)2490000000000068 035 $a(EBL)3001982 035 $a(SSID)ssj0000331962 035 $a(PQKBManifestationID)12084781 035 $a(PQKBTitleCode)TC0000331962 035 $a(PQKBWorkID)10350364 035 $a(PQKB)10088106 035 $a(MiAaPQ)EBC3001982 035 $a(EXLCZ)992490000000000068 100 $a20081231d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aBiobased surfactants and detergents$b[electronic resource] $esynthesis, properties, and applications /$feditors, Douglas G. Hayes ... [et al.] 210 $aUrbana, Ill. $cAOCS Press$dc2009 215 $a1 online resource (492 p.) 300 $aDescription based upon print version of record. 311 $a1-893997-67-7 320 $aIncludes bibliographical references and index. 327 $apt. 1. Introduction, importance, and relevance -- pt. 2. Biosynthesis of rhamnolipids and sophorolipids -- pt. 3. Employment of phospholipids and their mimics in biomedical applications -- pt. 4. Sugar-, polyol-, and amino-based lipids : biodegradable and biocompatible surfactants for foods, health care products, and pharmaceuticals. 606 $aBiosurfactants 615 0$aBiosurfactants. 676 $a668/.1 701 $aHayes$b Douglas G$g(Douglas Gordon)$0283598 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911004863303321 996 $aBiobased surfactants and detergents$94391237 997 $aUNINA