Prime-counting function

Results: 114



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51Formal methods / Mathematical logic / Function / Predicate transformer semantics / Floating point / Abstract interpretation / Predicate / Quantification / Prime-counting function / Mathematics / Logic / Semantics

Program Analysis with Dynamic Precision Adjustment ∗ Dirk Beyer Simon Fraser University, Canada Thomas A. Henzinger EPFL, Switzerland

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Source URL: www.sosy-lab.org

Language: English - Date: 2013-10-11 06:59:10
52Analytic number theory / Prime numbers / Prime number theorem / Prime number / Riemann hypothesis / Prime-counting function / Riemann zeta function / Twin prime / Primes in arithmetic progression / Mathematics / Number theory / Mathematical analysis

SOME TOPICS IN PRIME NUMBER THEORY T. N. SHOREY Definition. An integer P is called prime if (i) p > 1 (ii) p has no divisor other than 1 and itself

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Source URL: www.math.tifr.res.in

Language: English - Date: 2007-10-08 05:53:19
53Prime-counting function / Pi / Algorithm / Mathematical optimization / Computational complexity theory / Mathematical analysis / Mathematics / Analytic number theory

Taming the Monster: A Fast and Simple Algorithm for Contextual Bandits Alekh Agarwal Microsoft Research, New York, NY ALEKHA @ MICROSOFT. COM

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Source URL: jmlr.org

Language: English - Date: 2014-06-18 10:58:08
54Analytic number theory / Prime number theorem / Riemann zeta function / Riemann hypothesis / Prime-counting function / Logarithm / Prime number / Chebyshev function / Gamma function / Mathematical analysis / Mathematics / Number theory

Chapter 7 The Prime Number Theorem In this final chapter we will take advantage of an opportunity to apply many of the ideas and results from earlier chapters in order to give an analytic proof of the famous prime numb

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Source URL: www.math.uiuc.edu

Language: English - Date: 2007-06-22 13:40:54
55Proof theory / Circle / Quadrilateral / Trigonometric functions / Permutation pattern / Prime-counting function / Mathematics / Geometry / Mathematical fallacy

54th Mathematical Olympiad in Poland Problems of the first round, September – December[removed]Determine all pairs of positive integers x, y satisfying the equation (x + y)2 − 2(xy)2 = [removed]A real number a1 is give

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Source URL: www.mimuw.edu.pl

Language: English - Date: 2003-04-24 08:31:49
56Analytic number theory / Elliptic curve / Explicit formula / Prime-counting function / Prime number / Supersingular elliptic curve / Logarithm / Supersingular prime / Chebyshev function / Mathematics / Mathematical analysis / Number theory

How explicit is the Explicit Formula? Barry Mazur and William Stein March 21, 2013 (Notes for our 20+20 minute talk at the AMS Special Session on Arithmetic Statistics in San Diego, January 2013)

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-03-21 16:40:51
57Mathematical analysis / Prime-counting function / Prime number theorem / Prime number / Elliptic curve / Riemann hypothesis / Smooth number / Elliott–Halberstam conjecture / Algebraic number field / Mathematics / Analytic number theory / Number theory

Smooth Orders and Cryptographic Applications Carl Pomerance1 and Igor E. Shparlinski2 1 Department of Fundamental Mathematics, Bell Laboratories Murray Hill, NJ[removed], USA

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:08
58Number theory / Field theory / Prime numbers / Factorial / Prime-counting function / Finite field / Binomial coefficient / Transcendental number / Mathematics / Combinatorics / Integer sequences

THE AVERAGE ORDER OF ELEMENTS IN THE MULTIPLICATIVE GROUP OF A FINITE FIELD YILAN HU AND CARL POMERANCE A BSTRACT. We consider the average multiplicative order of a nonzero element in a finite field and compute the mean

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-01-12 11:42:57
59Analytic number theory / Integer sequences / Prime numbers / Group theory / Prime-counting function / Prime number theorem / Elliptic curve / Riemann hypothesis / Factorial / Mathematics / Number theory / Mathematical analysis

Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-03-19 13:19:05
60Analytic number theory / Prime numbers / Prime number theorem / Sieve theory / Prime-counting function / Prime number / Arithmetic functions / Chebyshev function / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Number theory / Mathematical analysis

On the Distribution of Pseudopowers Sergei V. Konyagin Department of Mechanics and Mathematics Moscow State University Moscow, 119992, Russia [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-07-30 15:14:32
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