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 | ||
|
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 | ||
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