Numbers in a given set with (or without) a large prime factor
type: Item
instance of: scholarly article
title: Numbers in a given set with (or without) a large prime factor
zbMATH Open document ID: 1213.11173
author: Roger C. Baker
published in: The Ramanujan Journal
publication date: 2010-05-07T00:00:00Z
Mathematics Subject Classification ID: 11N36
Mathematics Subject Classification ID: 11N35
Mathematics Subject Classification ID: 11L07
Mathematics Subject Classification ID: 11L05
zbMATH DE Number: 5705221
zbMATH Keywords: large prime factors
zbMATH Keywords: smooth numbers
zbMATH Keywords: sieve methods
zbMATH Keywords: exponential sums
zbMATH Keywords: Kloosterman sums
zbMATH Keywords: Dirichlet polynomials
MaRDI profile type: Publication
full work available at URL: s11139-009-9179-8
OpenAlex ID: W2023653097
cites work: The first case of Fermat's last theorem
cites work: The greatest prime factor of the integers in an interval
cites work: Q4807554
cites work: Numbers with a large prime factor
cites work: Q4885299
cites work: Shifted primes without large prime factors
cites work: Q3613898
cites work: Q3889148
cites work: On additive representation of integers
cites work: On sums of sequences of integers, I
cites work: On sums of sequences of integers. II,III
cites work: Q4400390
cites work: Numbers with a Large Prime Factor IV
cites work: Q4723831
cites work: Q4723830
cites work: Primes in arithmetic progressions to large moduli
cites work: Primes in arithmetic progressions to large moduli. II
cites work: Primes in Arithmetic Progressions to Large Moduli. III
cites work: SMOOTH NUMBERS IN SHORT INTERVALS
cites work: On a combinatorial method for counting smooth numbers in sets of integers
cites work: Integers of the form \(n^ 2+1\) without large prime factors
cites work: Polynomial values free of large prime factors
cites work: Q4520255
cites work: Q5803354
cites work: Sommes sans grand facteur premier
cites work: Kloosterman sums and Fourier coefficients of cusp forms
cites work: On the greatest prime factor of \((n^2)+1\)
cites work: Q3340936
cites work: Q3159364
cites work: On the Greatest Prime Factor of ∏k=1xf(k)
cites work: On the greatest prime factor of $prod^{x}_{k=1}f(k)$
cites work: On the Distribution of the Number of Prime Factors of Sums a + b
cites work: On Kloosterman's sum
cites work: Répartition des suites dans les progressions arithmétiques
cites work: Sur le théorème de Brun-Titchmarsh
cites work: Around the Bombieri-Vinogradov theorem
cites work: Théorème de Brun-Titchmarsh; application au théorème de Fermat
cites work: Autour du théorème de Bombieri-Vinogradov. II
cites work: Q3715206
cites work: On a theorem of Bombieri–Vinogradov type
cites work: Primes in arithmetic progressions
cites work: Exponential sums with monomials
cites work: Répartition Statistique Des Entiers Sans Grand Facteur Premier Dans Les Progressions Arithmétiques
cites work: Q4204221
cites work: On the number of primes p for which p+a has a large prime factor
cites work: Integers, without large prime factors, in arithmetic progressions. I
cites work: Integers, without large prime factors, in arithmetic progressions. II
cites work: Q3615925
cites work: Q4052222
cites work: Short intervals containing numbers without large prime factors
cites work: Integers without large prime factors in short intervals and arithmetic progressions
cites work: On the Number of Carmichael Numbers up to x
cites work: Q5754222
cites work: On values of \(n^2 + 1\) free of large prime factors
cites work: The divisor function $d_3(n)$ in arithmetic progressions
cites work: The largest prime factor of the integers in an interval
cites work: The largest prime factor of \(X^3+2\)
cites work: The largest prime factor of the integers in an interval, II
cites work: On a Conjecture of Balog

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cites work: On the number of positive integers \(\leq x\) and free of prime factors \(>y\)

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cites work: On the Brun-Titchmarsh theorem.

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cites work: On the largest prime factor of p + a

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cites work: Q4092051

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cites work: On the greatest prime factor of a cubic polynomial.

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cites work: On the Brun-Titchmarsh theorem

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cites work: Q4350164

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cites work: Q4790111

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cites work: Q4830109

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cites work: \(P_ 2\) in short intervals

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cites work: Q3757978

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cites work: Q3825159

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cites work: The greatest prime factor of the integers in a short interval (III)

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cites work: The greatest prime factor of the integers in a short interval (IV)

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cites work: On the largest prime factor of integers

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cites work: Q4044672

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cites work: Q4101916

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cites work: Q4161761

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cites work: PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS

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cites work: Q5820649

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cites work: Factoring integers with elliptic curves

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cites work: The greatest prime factor of the integers in an interval

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cites work: Numbers with a large prime factor

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cites work: Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise

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cites work: Topics in multiplicative number theory

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cites work: A note on the least prime in an arithmetic progression with a prime difference

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cites work: Q4821147

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cites work: Popular values of Euler's function

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cites work: On divisors of sums of integers. III

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cites work: Q5622297

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cites work: A note on numbers with a large prime factor III

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cites work: Nombres premiers de la forme \([n^c]\). (Prime numbers of the form \([n^c]\))

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cites work: Three-dimensional exponential sums with monomials

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cites work: Multiple exponential sums with monomials and their applications in number theory

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cites work: On divisors of sums of integers. I

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cites work: Q3699787

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cites work: On Divisors of Sums of Integers IV

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cites work: On divisors of sums of integers. V

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cites work: On two theorems of Gelfond and some of their applications

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cites work: Q4674810

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cites work: Q3237356

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cites work: Q5457535

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cites work: The distribution of smooth numbers in arithmetic progressions

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cites work: Q5694685

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cites work: Q3634688

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cites work: Ring-theoretic properties of certain Hecke algebras

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cites work: Sur une question d'Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II)

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cites work: Q3735790

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cites work: The Hardy-Littlewood method.

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cites work: On Some Exponential Sums

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cites work: Modular elliptic curves and Fermat's Last Theorem

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Numbers in a given set with (or without) a large prime factor (DOI)
DOI: 10.1007/S11139-009-9179-8