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Analytic Number Theory and Approximation
"... In this course we will cover some aspects of analytic number theory, in particular rational approximation of irrational numbers, irrationality proofs and transcendence proofs. Quite often the construction of rational approximants to real numbers is by means of continued fractions, Padé approximation ..."
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In this course we will cover some aspects of analytic number theory, in particular rational approximation of irrational numbers, irrationality proofs and transcendence proofs. Quite often the construction of rational approximants to real numbers is by means of continued fractions, Padé
Pretentiousness in analytic number theory
 J. Theor. Nombres Bordeaux
, 2009
"... Abstract. In this report, prepared specially for the program of the XXVième Journées Arithmétiques, we describe how, in joint work with K. Soundararajan and Antal Balog, we have developed the notion of “pretentiousness ” to help us better understand several key questions in analytic number theory ..."
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Abstract. In this report, prepared specially for the program of the XXVième Journées Arithmétiques, we describe how, in joint work with K. Soundararajan and Antal Balog, we have developed the notion of “pretentiousness ” to help us better understand several key questions in analytic number
Rational Points and Analytic Number Theory
"... There are a number of distinct ways in which analytic number theory can be used to provide information about rational points on algebraic varieties. Conversely, there are also a number of ways in which hopedfor results on the distribution of rational points could be used in classical problems from ..."
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There are a number of distinct ways in which analytic number theory can be used to provide information about rational points on algebraic varieties. Conversely, there are also a number of ways in which hopedfor results on the distribution of rational points could be used in classical problems from
POINCARÉ AND ANALYTIC NUMBER THEORY
"... Un domaine arithmétique où l’unité semble faire absolument défaut, c’est la théorie des nombres premiers; on n’a trouvé que des lois asymptotiques et l’on n’en doit pas espérer d’autres; mais ces lois sont isolées et l’on n’y peut parvenir que par des chemins différents qui ne semblent pas pouvoir c ..."
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asymptotiquement certaines fonctions de très grands nombres. A domain of arithmetic where unity seems completely missing, is the theory of prime numbers; only asymptotic laws have been found, and one can not hope for others; but these laws are isolated and one can only reach them by different paths which do
BASIC ANALYTIC NUMBER THEORY
, 2004
"... Abstract. We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zetafunction and to find asymptotics for sums of arithmetic functions. 1. ..."
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Abstract. We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zetafunction and to find asymptotics for sums of arithmetic functions. 1.
Topics in Analytic Number Theory
, 2009
"... This Thesis is brought to you for free and open access by BYU ScholarsArchive. It has been accepted for inclusion in All Theses and Dissertations by an ..."
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This Thesis is brought to you for free and open access by BYU ScholarsArchive. It has been accepted for inclusion in All Theses and Dissertations by an
Lectures on Advanced Analytic Number Theory
, 1965
"... being made available in book form with an appendix–an English translation of Siegel’s paper “Berechnung von Zetafunktionen an ganzzahligen Stellen” which appeared in the Nachrichten der Akademie der Wissenschaften in Göttingen, MathPhy. Klasse. (1969), pp. 87102. We are thankful to Professor Siege ..."
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the winter semester 1959/60, I delivered at the Tata Institute of Fundamental Research a series of lectures on Analytic Number Theory. It was may aim to introduce my hearers to some of the important and beautiful ideas which were developed by L. Kronecker and E. Hecke. Mr. S. Raghavan was very careful
Diophantine Approximation and Analytic Number Theory
"... This conference dealt with two areas of Number Theory, “the queen of mathematics. ” Diophantine approximation can be broadly described as the solvability in rational integers to various inequalities. The name comes from the later Greek mathematician Diophantus, who studied the solutions to certain e ..."
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This conference dealt with two areas of Number Theory, “the queen of mathematics. ” Diophantine approximation can be broadly described as the solvability in rational integers to various inequalities. The name comes from the later Greek mathematician Diophantus, who studied the solutions to certain
Results 1  10
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2,940,785