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Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980 (Lecture Notes in Mathematics, 899, Band 899) - Softcover

 
9783540111733: Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980 (Lecture Notes in Mathematics, 899, Band 899)
Softcover
ISBN 10: 3540111735 ISBN 13: 9783540111733
Verlag: Springer, 2009

Inhaltsangabe

An orthonormal system and its Lebesgue constants.- Mordell integrals and Ramanujan's "lost" notebook.- 5 Ramanujan's second notebook.- Oscillation theorems.- On the generalized density hypothesis, I.- The zeros of Hurwitz's zeta-function on ?=1/2.- Gaps between consecutive zeta zeros.- On the representation of the summatory functions of a class of arithmetical functions.- P-adic L-functions at s=0 and s=1.- Some problems and results on additive and multiplicative number theory.- Computations and generalizations on a remark of Ramanujan.- The arithmetic mean of the divisors of an integer.- The next Pellian equation.- Best Diophantine approximations for ternary linear forms, II.- Constructive elementary estimates for M(x).- On the second largest prime divisor of an odd perfect number.- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem.- Cyclotomy for non-squarefree modul I.- Waring's problem for sets of density zero.- Sequences without arithmetic progressions.- On polygon groups.- Theta function identities and orthogonal polynomials.- Ramanujan congruences for q(n).- Gaps in the Fourier series of automorphic forms.- Gaps in the Fourier series of automorphic forms II.- Modular functions revisited.- Bounding the norm of the Poincaré ?-operator.- Analysis on positive matrices as it might have occurred to Fourier.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

An orthonormal system and its Lebesgue constants.- Mordell integrals and Ramanujan's "lost" notebook.- 5 Ramanujan's second notebook.- Oscillation theorems.- On the generalized density hypothesis, I.- The zeros of Hurwitz's zeta-function on ?=1/2.- Gaps between consecutive zeta zeros.- On the representation of the summatory functions of a class of arithmetical functions.- P-adic L-functions at s=0 and s=1.- Some problems and results on additive and multiplicative number theory.- Computations and generalizations on a remark of Ramanujan.- The arithmetic mean of the divisors of an integer.- The next Pellian equation.- Best Diophantine approximations for ternary linear forms, II.- Constructive elementary estimates for M(x).- On the second largest prime divisor of an odd perfect number.- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem.- Cyclotomy for non-squarefree modul I.- Waring's problem for sets of density zero.- Sequences without arithmetic progressions.- On polygon groups.- Theta function identities and orthogonal polynomials.- Ramanujan congruences for q(n).- Gaps in the Fourier series of automorphic forms.- Gaps in the Fourier series of automorphic forms II.- Modular functions revisited.- Bounding the norm of the Poincaré ?-operator.- Analysis on positive matrices as it might have occurred to Fourier.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540111735
ISBN 13 
9783540111733
Einband
Taschenbuch
Anzahl der Seiten
492
Herausgeber
Knopp Marvin I.
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