DMCA. Copyrighted Work that you can Claim.
Base have 223 081 books.
Search: 


📙 Arithmetical Aspects of the Large Sieve Inequality by Olivier Ramaré, D.S. Ramana — epub download


This book is an elaboration of a series of lectures given at the Harish-Chandra Research Institute in February~2005. The reader will be taken through a journey on the arithmetical sides of the large sieve inequality when applied to the Farey dissection. This will reveal connections between this inequality, the Selberg sieve and other less used notions like pseudo-characters and the $\Lambda_Q$-function, as well as extend these theories. One of the leading theme of these notes is the notion of so-called local models that throws a unifying light on the subject. As examples and applications, we present, among other things, an extension of the Brun-Tichmarsh Theorem, a new proof of Linnik's Theorem on quadratic residues and an equally novel one of the Vinogradov three primes Theorem; we also consider the problem of small prime gaps, of sums of two squarefree numbers and several other ones, some of them being new, like a sharp upper bound for the number of twin primes p that are such that p+1 is squarefree. We end our journey by considering the problem of equality in the large sieve inequality and prove several results in this area.

About book:

About file:

  • File size: 1 202 220
  • Format: pdf


Security code:
Download button

Similar books results


The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups download pdf by E. Kowalski

Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realization that the underlying princi...

Analytic Theory of Continued Fractions,
Analytic Theory of Continued Fractions, free pdf by Hubert Stanley, Wall

The theory of continued fractions has been defined by a small handful of books. This is one of them. The focus of Wall's book is on the study of continued fractions in the theory of analytic functions, rather than on arithmetical aspects. There are extend...

Multiplicative Number Theory (Graduate Texts in Mathematics, Vol. 74)
Multiplicative Number Theory (Graduate Texts in Mathematics, Vol. 74) epub download by Harold Davenport

The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, inclu...

Operator theory, operator algebras and applications
Operator theory, operator algebras and applications epub download by M. Amélia Bastos, Amarino Lebre, Stefan Samko, Ilya M. Spitkovsky (eds.)

This book consists of research papers that cover the scientific areas of the International Workshop on Operator Theory, Operator Algebras and Applications, held in Lisbon in September 2012. The volume particularly focuses on (i) operator theory and harmon...

Understanding Inequality: Social Costs and Benefits
Understanding Inequality: Social Costs and Benefits free pdf by Amanda Machin, Nico Stehr (eds.)

The contributions in this book highlight, contextualize and analyze different aspects of social inequality. What are the various cause and effects of inequality? How have these changed over recent decades? Which social policies might be best able to inter...

Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems (Lectures in Mathematics. ETH Zürich)
Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems (Lectures in Mathematics. ETH Zürich) free download by Frederic Hélein, R. Moser

This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathemati...

Equidistribution in Number Theory: An Introduction
Equidistribution in Number Theory: An Introduction free pdf by Andrew Granville, Andrew Granville;Zeév Rudnick

Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-funct...

Isomorphisms Between H1 Spaces
Isomorphisms Between H1 Spaces free epub by Paul F.X. Müller

This book gives a thorough and self contained presentation of H¹, its known isomorphic invariants and a complete classification of H¹ on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of...

Equidistribution in Number Theory, An Introduction
Equidistribution in Number Theory, An Introduction (237) pdf free by Andrew Granville, Zeev Rudnick

Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-funct...

  Cosmic detox: a taoist approach to internal cleansing
Cosmic detox: a taoist approach to internal cleansing epub download by Mantak Chia, William U. Wei

How to cleanse the nine openings of the body for detoxification and self-healing • Explains how to purify the body’s internal environment through mono diets, fasts, and colonic cleanses to prevent degenerative disease and premature aging • Presents a ...

  Healing yoga for neck and shoulder pain: easy, effective practices for releasing tension and relieving pain
Healing yoga for neck and shoulder pain: easy, effective practices for releasing tension and relieving pain epub download by Carol Krucoff

Everyday activities such as using the computer, driving, or even curling up with a good book can create tension in the neck and shoulders. It's no wonder that so many of us have persistent discomfort and pain in these areas. Healing Yoga for Neck and Shou...

Aux origines du Dieu unique : Tome 3, Sacrifices et interdits alimentaires dans la Bible
Aux origines du Dieu unique : Tome 3, Sacrifices et interdits alimentaires dans la Bible epub download by Jean Soler

Dans cet ouvrage, Jean Soler se penche sur la signification des interdits alimentaires et des rites du sacrificiels dans la Bible. Il met en évidence l'usage symbolique de la nourriture dans les comportements rituels des Hébreux : interdiction de consomme...

Le pouvoir bénéfique des mains : Comment se soigner par les champs énergetiques
Le pouvoir bénéfique des mains : Comment se soigner par les champs énergetiques free pdf by Barbara-Ann Brennan

Le corps humain est environné par un champ d'énergie (aura) à travers lequel nous faisons l'expérience de la réalité, de la santé et de la maladie. C'est en contrôlant ce champ d'énergie que nous avons la possibilité d'agir sur nous-mêmes et de nous guéri...

  Karma-Diagnostik, Band 5: Antworten auf Fragen

Aide à l'examen du système nerveux périphérique
Aide à l'examen du système nerveux périphérique free pdf by Comité directeur de la revue de neurologie Brain, Alain Guierre

Conçu pour fournir une aide pratique à l'examen des patients souffrant d'une atteinte du système nerveux périphérique, cet ouvrage très didactique s'adresse aussi bien aux étudiants en médecine qu'aux cliniciens confirmés de toutes spécialités. Selon le ...

  La démondialisation
La démondialisation epub download by Jacques Sapir

Face à la crise globale du capitalisme, on voit désormais le FMI, des gouvernements ou des économistes célèbres brûler ce qu'ils ont adoré - le marché - et réhabiliter l'Etat qu'ils honnissaient. Nous vivons en fait l'amorce d'une "démondialisation". L'hi...

  Visage d'un dieu inca
Visage d'un dieu inca download pdf by Gérard Manset

«Il me faisait penser à Germinal, aurait pu jouer dans le film… visage noirci, venant de poser son barda, cherchant la lampe frontale. Je m’imaginais Rodin… J’aurais désiré cela, le restituer par le burin, entamer le cuivre dans une gravure rendant sa lèv...

The Civil Contract of Photography
The Civil Contract of Photography pdf free by Ariella Azoulay

In this compelling work, Ariella Azoulay reconsiders the political and ethical status of photography. Describing the power relations that sustain and make possible photographic meanings, Azoulay argues that anyone -- even a stateless person -- who address...

Gruppen, Recht, Gerechtigkeit. Die moralische Begründung der Rechte von Minderheiten
Gruppen, Recht, Gerechtigkeit. Die moralische Begründung der Rechte von Minderheiten free epub by Susanne Boshammer

Sollten muslimische Lehrerinnen im Unterricht ein Kopftuch tragen dürfen? Ist es gerecht, wenn Frauen bei der Vergabe von Arbeitsplätzen bevorzugt werden? Sollten die Kinder der Amish von der Schulpflicht befreit sein? Rechte von Minderheiten beschäfti...