Autore	Philipp Walter <1936->
Pubbl/distr/stampa	Providence : , : American Mathematical Society, , 1971
Descrizione fisica	1 online resource (108 p.)
Disciplina	512/.7
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Probabilistic number theory Sequences (Mathematics) Random variables
Soggetto genere / forma	Electronic books.
ISBN	0-8218-9911-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N""; ""3.3.1. Preparatory remarks"" ""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References""
Record Nr.	UNINA-9910479922003321

Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1998]
Descrizione fisica	1 online resource (410 p.)
Disciplina	512/.7
Collana	Contemporary mathematics
Soggetto topico	Number theory
Soggetto genere / forma	Electronic books.
ISBN	0-8218-7801-8 0-8218-0606-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Part I. Arithmetic Algebraic Geometry""; ""Relative splitting of one-motives""; ""The Hasse principle in a pencil of algebraic varieties""; ""Stark-Heegner points over real quadratic fields""; ""On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces""; ""The ABC conjecture and exponents of class groups of quadratic fields""; ""Heights of points on subvarieties of Gnm""; ""A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture""; ""Part II. Automorphic Forms""; ""Determinant of representations of division algebras of prime degree over local fields""
Record Nr.	UNINA-9910479978103321

Autore	Ebbinghaus Heinz-Dieter
Edizione	[1st ed. 1991.]
Pubbl/distr/stampa	New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
Descrizione fisica	1 online resource (XVIII, 398 p.)
Disciplina	512/.7
Collana	Readings in Mathematics
Soggetto topico	Number theory Number Theory
ISBN	1-4612-1005-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	A. From the Natural Numbers, to the Complex Numbers, to the p-adics -- 1. Natural Numbers, Integers, and Rational Numbers -- 2. Real Numbers -- 3. Complex Numbers -- 4. The Fundamental Theorem of Algebr -- 5. What is ?? -- 6. The p-Adic Numbers -- B. Real Division Algebras -- Repertory. Basic Concepts from the Theory of Algebras -- 7. Hamilton’s Quaternions -- 8. The Isomorphism Theorems of FROBENIUS, HOPF and GELFAND-MAZUR -- 9. CAYLEY Numbers or Alternative Division Algebras -- 10. Composition Algebras. HURWITZ’s Theorem-Vector-Product Algebras -- 11. Division Algebras and Topology -- C. Infinitesimals, Games, and Sets -- 12. Nonsiandard Analysis -- 13. Numbers and Games -- 14. Set Theory and Mathematics -- Name Index -- Portraits of Famous Mathematicians.
Record Nr.	UNINA-9910480566603321

Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1988]
Descrizione fisica	1 online resource (186 p.)
Disciplina	512/.7
Collana	Contemporary mathematics
Soggetto topico	Number theory - Research - China
ISBN	0-8218-7665-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Preface""; ""Contributors""; ""Analytic Number Theory in China I""; ""Analytic Number Theory in China II""; ""Number Theoretic Method in Numerical Analysis""; ""Diophantine Equations and Diophantine Inequalities in Algebraic Number Fields""; ""Some Results of Modular Forms""; ""Some Results in the Application of the Number theory to Digital Signal Processing and Public-Key Systems""; ""Some Results on Diophantine Equations""; ""Diophantine Approximation and Transcendental Number Theory""; ""Quadratic Forms and Hermtian Forms"" ""Small Prime Solutions of Linear Equations and the Exceptional Set in Goldbach's Problem""""On the Relative Trace Formula""; ""Kloosterman Integrals and Base Change""
Record Nr.	UNINA-9910788786403321

Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1988]
Descrizione fisica	1 online resource (186 p.)
Disciplina	512/.7
Collana	Contemporary mathematics
Soggetto topico	Number theory - Research - China
ISBN	0-8218-7665-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Preface""; ""Contributors""; ""Analytic Number Theory in China I""; ""Analytic Number Theory in China II""; ""Number Theoretic Method in Numerical Analysis""; ""Diophantine Equations and Diophantine Inequalities in Algebraic Number Fields""; ""Some Results of Modular Forms""; ""Some Results in the Application of the Number theory to Digital Signal Processing and Public-Key Systems""; ""Some Results on Diophantine Equations""; ""Diophantine Approximation and Transcendental Number Theory""; ""Quadratic Forms and Hermtian Forms"" ""Small Prime Solutions of Linear Equations and the Exceptional Set in Goldbach's Problem""""On the Relative Trace Formula""; ""Kloosterman Integrals and Base Change""
Record Nr.	UNINA-9910828937403321