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- catalog contributor b11934117.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description "Additive Number Systems -- Background from Analysis -- Series and infinite products -- Power series expansions -- Big O, little o, and [similar] notation -- The radius of convergence and RT[subscript rho] -- Growth rate of coefficients -- Counting Functions and Fundamental Identities -- Defining additive number systems -- Examples of additive number systems -- Counting functions, fundamental identities -- Global counts -- Alternate version of the fundamental identity -- Reduced additive number systems -- Finitely generated number systems -- a* (n) is eventually positive -- Density and Partition Sets -- Asymptotic density -- Dirichlet density -- The set of additives of an element -- Partition sets -- Generating series of partition sets -- Partition sets have Dirichlet density -- Schur's Tauberian Theorem -- Simple partition sets -- The asymptotic density of [subscript gamma]P -- Adding an indecomposable -- The Case [rho] = 1 -- The fundamental results when [rho] = 1 -- The Bateman and Erdos Result -- Stewart's Sum Theorem -- [rho] = 1 does not imply RT[subscript 1] -- Further results on RT[subscript 1] -- The Case 0 [[rho] [1 -- Compton's Tauberian Theorem -- When is [delta](B) = 0? -- The density of B -- Compton's Density Theorem -- The Knopfmacher, Knopfmacher, Warlimont asymptotics -- Monadic Second-Order Limit Laws -- First-order logic -- Monadic second-order logic -- Asymptotic density of subsets of [kappa] -- Quantifier rank and equivalent formulas -- Ehrenfeucht-Fraisse games -- Adequate classes of structures.".
- catalog description "Includes bibliographical references (p. 281-283) and index.".
- catalog extent "xx, 289 p. ;".
- catalog identifier "0821826662 (alk. paper)".
- catalog isPartOf "Mathematical surveys and monographs ; no. 86.".
- catalog isPartOf "Mathematical surveys and monographs ; v. 86".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "511/.62 21".
- catalog subject "Generating functions.".
- catalog subject "Limit theorems (Probability theory)".
- catalog subject "QA164.8 .B87 2001".
- catalog tableOfContents "Additive Number Systems -- Background from Analysis -- Series and infinite products -- Power series expansions -- Big O, little o, and [similar] notation -- The radius of convergence and RT[subscript rho] -- Growth rate of coefficients -- Counting Functions and Fundamental Identities -- Defining additive number systems -- Examples of additive number systems -- Counting functions, fundamental identities -- Global counts -- Alternate version of the fundamental identity -- Reduced additive number systems -- Finitely generated number systems -- a* (n) is eventually positive -- Density and Partition Sets -- Asymptotic density -- Dirichlet density -- The set of additives of an element -- Partition sets -- Generating series of partition sets -- Partition sets have Dirichlet density -- Schur's Tauberian Theorem -- Simple partition sets -- The asymptotic density of [subscript gamma]P -- Adding an indecomposable -- The Case [rho] = 1 -- The fundamental results when [rho] = 1 -- The Bateman and Erdos Result -- Stewart's Sum Theorem -- [rho] = 1 does not imply RT[subscript 1] -- Further results on RT[subscript 1] -- The Case 0 [[rho] [1 -- Compton's Tauberian Theorem -- When is [delta](B) = 0? -- The density of B -- Compton's Density Theorem -- The Knopfmacher, Knopfmacher, Warlimont asymptotics -- Monadic Second-Order Limit Laws -- First-order logic -- Monadic second-order logic -- Asymptotic density of subsets of [kappa] -- Quantifier rank and equivalent formulas -- Ehrenfeucht-Fraisse games -- Adequate classes of structures.".
- catalog title "Number theoretic density and logical limit laws / Stanley N. Burris.".
- catalog type "text".