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1

Metric diophantine approximation with two restricted variables. III. Two prime numbers

Journal:

Journal of Number Theory

Year:

1988

Language:

english

File:

PDF, 476 KB

english, 1988

2

A Note on The Metrical Theory of Continued Fractions

Glyn Harman and Kam C. Wong

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 214 KB

english, 2000

3

The values of ternary quadratic forms at prime arguments

Journal:

Year:

2004

Language:

english

File:

PDF, 435 KB

english, 2004

4

A Note on The Metrical Theory of Continued Fractions

Harman, Glyn, Wong, Kam C.

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 406 KB

english, 2000

5

Metrical Theorems on Restricted Diophantine Approximations to Points on a Curve

Glyn Harman, Huw Jones

Journal:

Journal of Number Theory

Year:

2002

Language:

english

File:

PDF, 133 KB

english, 2002

6

Approximation of real matrices by integral matrices

Journal:

Journal of Number Theory

Year:

1990

Language:

english

File:

PDF, 679 KB

english, 1990

7

Diophantine approximation with mild divisibility constraints

Emre Alkan, Glyn Harman, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2006

Language:

english

File:

PDF, 136 KB

english, 2006

8

On sums of squares of primes II

Glyn Harman, Angel Kumchev

Journal:

Journal of Number Theory

Year:

2010

Language:

english

File:

PDF, 366 KB

english, 2010

9

Primes in short intervals

Journal:

Mathematische Zeitschrift

Year:

1982

Language:

english

File:

PDF, 538 KB

english, 1982

10

Almost-primes in short intervals

Journal:

Mathematische Annalen

Year:

1981

Language:

english

File:

PDF, 212 KB

english, 1981

11

On values ofn2+ 1 free of large prime factors

Journal:

Archiv der Mathematik

Year:

2008

Language:

english

File:

PDF, 135 KB

english, 2008

12

On mean values of Dirichlet polynomials

Antal Balog, Glyn Harman

Journal:

Archiv der Mathematik

Year:

1991

Language:

english

File:

PDF, 286 KB

english, 1991

13

The Duffin–Schaeffer conjecture with extra divergence II

Victor Beresnevich, Glyn Harman, Alan Haynes, Sanju Velani

Journal:

Mathematische Zeitschrift

Year:

2013

Language:

english

File:

PDF, 163 KB

english, 2013

14

WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS

Journal:

International Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 189 KB

english, 2008

15

Trigonometric sums over primes I

Journal:

Year:

1981

Language:

english

File:

PDF, 225 KB

english, 1981

16

Primes of the form [pc] and related questions

Harman, Glyn, Rivat, Joël

Journal:

Glasgow Mathematical Journal

Year:

1995

Language:

english

File:

PDF, 374 KB

english, 1995

17

Metric Diophantine approximation with two restricted variables I. Two square-free integers, or integers in arithmetic progressions

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1988

Language:

english

File:

PDF, 451 KB

english, 1988

18

On the distribution of √ p modulo one

Journal:

Year:

1983

Language:

english

File:

PDF, 534 KB

english, 1983

19

THE MONTGOMERY–HOOLEY THEOREM IN SHORT INTERVALS

Journal:

Year:

2013

Language:

english

File:

PDF, 139 KB

english, 2013

20

Diophantine approximation with multiplicative functions

Journal:

Monatshefte für Mathematik

Year:

2010

Language:

english

File:

PDF, 119 KB

english, 2010

21

Theory and Applications of Numbers without Large Prime Factors || Small Fractional Parts of Additive Forms

Journal:

Philosophical Transactions of the Royal Society Physical and Engineering Sciences (1990-1995)

Year:

1993

Language:

english

File:

PDF, 323 KB

english, 1993

22

SOME CASES OF THE DUFFIN AND SCHAEFFER CONJECTURE

Journal:

The Quarterly Journal of Mathematics

Year:

1990

Language:

english

File:

PDF, 285 KB

english, 1990

23

On sums of squares of primes

HARMAN, GLYN, KUMCHEV, ANGEL V.

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2006

Language:

english

File:

PDF, 294 KB

english, 2006

24

A PROBLEM IN THE METRIC THEORY OF DIOPHANTINE APPROXIMATION

Journal:

The Quarterly Journal of Mathematics

Year:

1986

Language:

english

File:

PDF, 330 KB

english, 1986

25

ON THE NUMBER OF CARMICHAEL NUMBERS UP TO $\lowercase{x}$

Journal:

Bulletin of the London Mathematical Society

Year:

2005

Language:

english

File:

PDF, 143 KB

english, 2005

26

SMALL FRACTIONAL PARTS OF ADDITIVE FORMS IN PRIME VARIABLES

Journal:

The Quarterly Journal of Mathematics

Year:

1995

Language:

english

File:

PDF, 357 KB

english, 1995

27

On sparsely totient numbers

Journal:

Glasgow Mathematical Journal

Year:

1991

Language:

english

File:

PDF, 311 KB

english, 1991

28

A problem of Hooley in Diophantine approximation

Journal:

Glasgow Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 355 KB

english, 1996

29

Trigonometric sums over primes II

Journal:

Glasgow Mathematical Journal

Year:

1983

Language:

english

File:

PDF, 491 KB

english, 1983

30

Diophantine approximation with square-free integers

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1984

Language:

english

File:

PDF, 362 KB

english, 1984

31

Some theorems in the metric theory of diophantine approximation

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1986

Language:

english

File:

PDF, 458 KB

english, 1986

32

Short intervals containing numbers without large prime factors

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1991

Language:

english

File:

PDF, 221 KB

english, 1991

33

Non-linear Diophantine approximation of complex numbers

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2002

Language:

english

File:

PDF, 310 KB

english, 2002

34

Numbers badly approximate by fractions with prime denominator

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1995

Language:

english

File:

PDF, 218 KB

english, 1995

35

Products of Small Integers in Residue Classes and Additive Properties of Fermat Quotients

Harman, Glyn, Shparlinski, Igor E.

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 214 KB

english, 2016

36

Metric Diophantine approximation with two restricted variables II: A prime and a square-free integer

Journal:

Year:

1988

Language:

english

File:

PDF, 334 KB

english, 1988

37

Diophantine approximation with almost-primes and sums of two squares

Journal:

Year:

1985

Language:

english

File:

PDF, 410 KB

english, 1985

38

Piatetski-Shapiro prime k-tuplets

Journal:

Year:

1998

Language:

english

File:

PDF, 243 KB

english, 1998

39

Gaussian primes in narrow sectors

Harman, Glyn, Lewis, Philip

Journal:

Year:

2001

Language:

english

File:

PDF, 555 KB

english, 2001

40

PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS

Journal:

Year:

2016

Language:

english

File:

PDF, 159 KB

english, 2016

41

Prime-Detecting Sieves. (LMS-33) () || Chapter 2. The Vaughan Identity

Year:

2012

Language:

english

File:

PDF, 241 KB

english, 2012

42

Prime-Detecting Sieves. (LMS-33) () || Chapter 6. An Upper-Bound Sieve

Year:

2012

Language:

english

File:

PDF, 224 KB

english, 2012

43

Prime-Detecting Sieves. (LMS-33) () || Index

Year:

2012

Language:

english

File:

PDF, 188 KB

english, 2012

44

Prime-Detecting Sieves. (LMS-33) () || Chapter 1. Introduction

Year:

2012

Language:

english

File:

PDF, 251 KB

english, 2012

45

Prime-Detecting Sieves. (LMS-33) () || Bibliography

Year:

2012

Language:

english

File:

PDF, 159 KB

english, 2012

46

Prime-Detecting Sieves. (LMS-33) () || Chapter 11. Generalizing to Algebraic Number Fields

Year:

2012

Language:

english

File:

PDF, 333 KB

english, 2012

47

Prime-Detecting Sieves. (LMS-33) () || Notation

Year:

2012

Language:

english

File:

PDF, 142 KB

english, 2012

48

Prime-Detecting Sieves. (LMS-33) () || Chapter 14. Epilogue

Year:

2012

Language:

english

File:

PDF, 137 KB

english, 2012

49

Prime-Detecting Sieves. (LMS-33) () || Chapter 8. The Brun-Titchmarsh Theorem on Average

Year:

2012

Language:

english

File:

PDF, 326 KB

english, 2012

50

Prime-Detecting Sieves. (LMS-33) () || Chapter 4. The Rosser-Iwaniec Sieve

Year:

2012

Language:

english

File:

PDF, 233 KB

english, 2012