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Excursions in Multiplicative Number Theory [[electronic resource] /] / by Olivier Ramaré
Excursions in Multiplicative Number Theory [[electronic resource] /] / by Olivier Ramaré
Autore Ramaré Olivier
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022
Descrizione fisica 1 online resource (342 pages)
Disciplina 512.7
Collana Birkhäuser Advanced Texts Basler Lehrbücher
Soggetto topico Number theory
Number Theory
Teoria de nombres
Multiplicació
Soggetto genere / forma Llibres electrònics
ISBN 9783030731694
9783030731687
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Approach: Multiplicativity -- Arithmetic Convolution -- A Calculus on Arithmetical Functions -- Analytical Dirichlet Series -- Growth of Arithmetical Functions -- An "Algebraical" Multiplicative Function -- Möbius Inversions -- The Convolution Walk -- Handling a Smooth Factor -- The Convolution Method -- Euler Products and Euler Sums -- Some Practice -- The Hyperbola Principle -- The Levin-Fanleib Walk -- The Mertens Estimates -- The Levin-Fanleib Theorem -- Variations on a Theme of Chebyshev -- Primes in progressions -- A famous constant -- Euler Products with Primes in AP -- Chinese Remainder and Multiplicativity -- The Mellin Walk -- The Riemann zeta-function -- The Mellin Transform -- Proof Theorem ℓ -- Roughing up: Removing a Smoothening -- Proving the Prime Number Theorem -- Higher Ground: Applications / Extensions -- The Selberg Formula -- Rankin's Trick and Brun's Sieve -- Three Arithmetical Exponential Sums -- Convolution method / Möbius function -- The Large Sieve Inequality -- Montgomery's Sieve.
Record Nr. UNISA-996466416403316
Ramaré Olivier  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Excursions in Multiplicative Number Theory / / by Olivier Ramaré
Excursions in Multiplicative Number Theory / / by Olivier Ramaré
Autore Ramaré Olivier
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022
Descrizione fisica 1 online resource (342 pages)
Disciplina 512.7
Collana Birkhäuser Advanced Texts Basler Lehrbücher
Soggetto topico Number theory
Number Theory
Teoria de nombres
Multiplicació
Soggetto genere / forma Llibres electrònics
ISBN 9783030731694
9783030731687
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Approach: Multiplicativity -- Arithmetic Convolution -- A Calculus on Arithmetical Functions -- Analytical Dirichlet Series -- Growth of Arithmetical Functions -- An "Algebraical" Multiplicative Function -- Möbius Inversions -- The Convolution Walk -- Handling a Smooth Factor -- The Convolution Method -- Euler Products and Euler Sums -- Some Practice -- The Hyperbola Principle -- The Levin-Fanleib Walk -- The Mertens Estimates -- The Levin-Fanleib Theorem -- Variations on a Theme of Chebyshev -- Primes in progressions -- A famous constant -- Euler Products with Primes in AP -- Chinese Remainder and Multiplicativity -- The Mellin Walk -- The Riemann zeta-function -- The Mellin Transform -- Proof Theorem ℓ -- Roughing up: Removing a Smoothening -- Proving the Prime Number Theorem -- Higher Ground: Applications / Extensions -- The Selberg Formula -- Rankin's Trick and Brun's Sieve -- Three Arithmetical Exponential Sums -- Convolution method / Möbius function -- The Large Sieve Inequality -- Montgomery's Sieve.
Record Nr. UNINA-9910551828503321
Ramaré Olivier  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui