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Proceedings of the London Mathematical Society

Volumn 72, Issue 2, 1996, Pages 241-260

On the distribution of αp modulo one II

(1) Harman, Glyn a

a CARDIFF UNIVERSITY (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000153319 PISSN: 00246115 EISSN: None Source Type: Journal
DOI: 10.1112/plms/s3-72.2.241 Document Type: Article

Times cited : (66)

References (28)

1
- 84971773341
- k modulo one
- k modulo one', Mathematika 38 (1991) 170-184.
- (1991) Mathematika , vol.38 , pp. 170-184
- Baker, R.C.¹ Harman, G.²

2
- 0000322070
- The difference between consecutive primes
- R. C. BAKER and G. HARMAN, 'The difference between consecutive primes', Proc. London Math. Soc. (3) 72 (1996) 261-280.
- (1996) Proc. London Math. Soc. , vol.72 , Issue.3 , pp. 261-280
- Baker, R.C.¹ Harman, G.²

3
- 33746962068
- preprint, Brigham Young University
- R. C. BAKER and G. HARMAN, 'The Brun-Titchmarsh theorem on average', preprint, Brigham Young University, 1995.
- (1995) The Brun-Titchmarsh Theorem on Average
- Baker, R.C.¹ Harman, G.²

4
- 0001341542
- c]
- c]', J. Number Theory 50 (1995) 261-277.
- (1995) J. Number Theory , vol.50 , pp. 261-277
- Baker, R.C.¹ Harman, G.² Rivat, J.³

5
- 0040402121
- θ mod 1
- θ mod 1', Acta Math. Hungar. 45 (1985) 179-199.
- (1985) Acta Math. Hungar. , vol.45 , pp. 179-199
- Balog, A.¹

6
- 0013476315
- Primes in arithmetic progressions to large moduli II
- E. BOMBIERI, J. B. FRIEDLANDER, and H. IWANIEC, 'Primes in arithmetic progressions to large moduli II', Math. Ann. 277 (1987) 361-393.
- (1987) Math. Ann. , vol.277 , pp. 361-393
- Bombieri, E.¹ Friedlander, J.B.² Iwaniec, H.³

7
- 0003647258
- revised by H. L. Montgomery Springer, New York
- H. DAVENPORT, Multiplicative number theory, 2nd edn, revised by H. L. Montgomery (Springer, New York, 1980).
- (1980) Multiplicative Number Theory, 2nd Edn
- Davenport, H.¹

8
- 0000102459
- Kloosterman sums and Fourier coefficients of cusp forms
- J.-M. DESHOUILLERS and H. IWANIEC, 'Kloosterman sums and Fourier coefficients of cusp forms', Invent. Math. 70 (1982) 219-288.
- (1982) Invent. Math. , vol.70 , pp. 219-288
- Deshouillers, J.-M.¹ Iwaniec, H.²

9
- 84972529929
- Khintchine's problem in metric Diophantine approximation
- R. J. DUFFIN and A. C. SCHAEFFER, 'Khintchine's problem in metric Diophantine approximation', Duke Math. J. 8 (1941) 243-255.
- (1941) Duke Math. J. , vol.8 , pp. 243-255
- Duffin, R.J.¹ Schaeffer, A.C.²

10
- 0013506173
- Théorème de Brun-Titchmarsh, application au théorème de Fermat
- E. FOUVRY, 'Théorème de Brun-Titchmarsh, application au théorème de Fermat', Invent. Math. 79 (1985) 383-407.
- (1985) Invent. Math. , vol.79 , pp. 383-407
- Fouvry, E.¹

11
- 84959762529
- 2 modulo one
- 2 modulo one', Proc. London Math. Soc. (3) 42 (1981) 252-269.
- (1981) Proc. London Math. Soc. , vol.42 , Issue.3 , pp. 252-269
- Ghosh, A.¹

12
- 0001786150
- On the distribution of αp modulo one
- G. HARMAN, 'On the distribution of αp modulo one', J. London Math. Soc. (2) 27 (1983) 9-18.
- (1983) J. London Math. Soc. , vol.27 , Issue.2 , pp. 9-18
- Harman, G.¹

13
- 84971946599
- On the distribution of √p modulo one
- G. HARMAN, 'On the distribution of √p modulo one', Mathematika 30 (1983) 104-116.
- (1983) Mathematika , vol.30 , pp. 104-116
- Harman, G.¹

14
- 84974223974
- Numbers badly approximable by fractions with prime denominator
- G. HARMAN, 'Numbers badly approximable by fractions with prime denominator', Math. Proc. Cambridge Philos. Soc. 118 (1995) 1-5.
- (1995) Math. Proc. Cambridge Philos. Soc. , vol.118 , pp. 1-5
- Harman, G.¹

15
- 0001447117
- Prime numbers in short intervals and a generalized Vaughan identity
- D. R. HEATH-BROWN, 'Prime numbers in short intervals and a generalized Vaughan identity', Canad. J. Math. 34 (1982) 1365-1377.
- (1982) Canad. J. Math. , vol.34 , pp. 1365-1377
- Heath-Brown, D.R.¹

16
- 0007465892
- Sieve identities and gaps between primes
- D. R. HEATH-BROWN, 'Sieve identities and gaps between primes', Astérisque 94 (1982) 61-65.
- (1982) Astérisque , vol.94 , pp. 61-65
- Heath-Brown, D.R.¹

17
- 0001833630
- The number of primes in a short interval
- D. R. HEATH-BROWN, 'The number of primes in a short interval', J. reine angew. Math. 389 (1988) 22-63.
- (1988) J. Reine Angew. Math. , vol.389 , pp. 22-63
- Heath-Brown, D.R.¹

18
- 0001216048
- Rosser's Sieve
- H. IWANIEC, 'Rosser's Sieve', Acta Arith. 36 (1980) 171-202.
- (1980) Acta Arith. , vol.36 , pp. 171-202
- Iwaniec, H.¹

19
- 0040093208
- Primes in short intervals
- H. IWANIEC and M. JUTILA, 'Primes in short intervals', Ark. Mat. 17 (1979) 167-176.
- (1979) Ark. Mat. , vol.17 , pp. 167-176
- Iwaniec, H.¹ Jutila, M.²

20
- 0000691475
- On the distribution of αp modulo one
- JIA CHAO-HUA, 'On the distribution of αp modulo one', J. Number Theory 45 (1993) 241-253.
- (1993) J. Number Theory , vol.45 , pp. 241-253
- Chao-Hua, J.¹

21
- 0011365830
- A Chebychev's type of prime number theorem in a short interval II
- S. LOU and Q. YAO, 'A Chebychev's type of prime number theorem in a short interval II', Hardy-Ramanujan J. 15 (1992) 1-33.
- (1992) Hardy-Ramanujan J. , vol.15 , pp. 1-33
- Lou, S.¹ Yao, Q.²

22
- 33747016689
- The number of primes in a short interval
- S. LOU and Q. YAO, 'The number of primes in a short interval', Hardy-Ramanujan J. 16 (1993) 21-43.
- (1993) Hardy-Ramanujan J. , vol.16 , pp. 21-43
- Lou, S.¹ Yao, Q.²

23
- 0011570072
- Sommes trigonométriques sur les nombres premiers
- R. C. VAUGHAN, 'Sommes trigonométriques sur les nombres premiers', C.R. Acad. Sci. Paris 285 (1977) 981-983.
- (1977) C.R. Acad. Sci. Paris , vol.285 , pp. 981-983
- Vaughan, R.C.¹

24
- 84972438279
- On the distribution of αp modulo 1
- R. C. VAUGHAN, 'On the distribution of αp modulo 1', Mathematika 24 (1977) 135-141.
- (1977) Mathematika , vol.24 , pp. 135-141
- Vaughan, R.C.¹

25
- 0040996260
- An elementary method in prime number theory
- R. C. VAUGHAN, 'An elementary method in prime number theory', Acta Arith. 37 (1980) 111-115.
- (1980) Acta Arith. , vol.37 , pp. 111-115
- Vaughan, R.C.¹

26
- 0003396529
- translated from the Russian by K. F. Roth and A. Davenport Wiley-Interscience, London
- I. M. VINOGRADOV, The method of trigonometric sums in the theory of numbers, translated from the Russian by K. F. Roth and A. Davenport (Wiley-Interscience, London, 1954).
- (1954) The Method of Trigonometric Sums in the Theory of Numbers
- Vinogradov, I.M.¹

27
- 21844509625
- Intervals almost all containing primes
- N. WATT, 'Intervals almost all containing primes', Acta Arith. 72 (1995) 131-167.
- (1995) Acta Arith. , vol.72 , pp. 131-167
- Watt, N.¹

28
- 85088077622
- preprint, University of Wales College of Cardiff
- k modulo one', preprint, University of Wales College of Cardiff, 1994.
- (1994) k Modulo One
- Wong, K.C.¹

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