1.

Record Nr.

UNINA9910480705303321

Titolo

The Rademacher legacy to mathematics : the centenary conference in honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University / / George E. Andrews, David M. Bressoud, L. Alayne Parson, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1994]

©1994

ISBN

0-8218-7757-7

0-8218-5499-2

Descrizione fisica

1 online resource (xxxvi, 369 pages) : illustrations

Collana

Contemporary mathematics, , 0271-4132 ; ; 166

Disciplina

512/.73

Soggetti

Automorphic forms

Discontinuous functions

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"From July 21 to July 25, 1992 the Hans Rademacher Centenary Conference was held at the Pennsylvania State University"--Pref.

Nota di bibliografia

Includes bibliographical references.



2.

Record Nr.

UNINA9910480710103321

Autore

Elliott P. D. T. A (Peter D. T. A.)

Titolo

On the correlation of multiplicative and the sum of additive arithmetic functions / / P.D.T.A. Elliott

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1994

©1994

ISBN

1-4704-0117-7

Descrizione fisica

1 online resource (102 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 112, Number 538

Disciplina

512/.73

Soggetti

Arithmetic functions

Number theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"November 1994, Volume 112, Number 538 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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 ""