# Problems and results on αp - βq

K. Ramachandra; A. Sankaranarayanan; K. Srinivas

Acta Arithmetica (1996)

- Volume: 75, Issue: 2, page 119-131
- ISSN: 0065-1036

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topK. Ramachandra, A. Sankaranarayanan, and K. Srinivas. "Problems and results on αp - βq." Acta Arithmetica 75.2 (1996): 119-131. <http://eudml.org/doc/206866>.

@article{K1996,

author = {K. Ramachandra, A. Sankaranarayanan, K. Srinivas},

journal = {Acta Arithmetica},

keywords = {primes; inequalities; Harman's result; Selberg's sieve; Brun's sieve; Goldbach numbers; simultaneous inequalities},

language = {eng},

number = {2},

pages = {119-131},

title = {Problems and results on αp - βq},

url = {http://eudml.org/doc/206866},

volume = {75},

year = {1996},

}

TY - JOUR

AU - K. Ramachandra

AU - A. Sankaranarayanan

AU - K. Srinivas

TI - Problems and results on αp - βq

JO - Acta Arithmetica

PY - 1996

VL - 75

IS - 2

SP - 119

EP - 131

LA - eng

KW - primes; inequalities; Harman's result; Selberg's sieve; Brun's sieve; Goldbach numbers; simultaneous inequalities

UR - http://eudml.org/doc/206866

ER -

## References

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- [3] G. Harman, Primes in short intervals, Math. Z. 180 (1982), 335-348. Zbl0482.10040
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- [8] H. L. Montgomery and R. C. Vaughan, The exceptional set of Goldbach's problem, Acta Arith. 27 (1975), 353-370. Zbl0301.10043
- [9] Y. Motohashi, A note on almost primes in short intervals, Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 225-226. Zbl0445.10032
- [10] K. Ramachandra, Two remarks in prime number theory, Bull. Soc. Math. France 105 (1977), 433-437. Zbl0381.10031
- [11] K. Ramachandra, Viggo Brun (13-10-1885 to 15-8-1978), Math. Student 49 (1981), 97-95.
- [12] K. Ramachandra, A. Sankaranarayanan and K. Srinivas, Ramanujan's lattice point problem, prime number theory and other remarks, Hardy-Ramanujan J. 19 (1996), 2-56. Zbl0824.11061
- [13] H.-E. Richert, Sieve Methods, Lecture Notes 55, Tata Institute of Fundamental Research, Bombay, 1976.
- [14] A. Selberg, On the normal density of primes in small intervals, and the difference between consecutive primes, Arch. Math. Naturvid. 47 (1943), 87-105. Zbl0063.06869
- [15] S. Srinivasan, A note on |αp -q|, Acta Arith. 41 (1982), 15-18.
- [16] D. Wolke, Fast-Primzahlen in kurzen Intervallen, Math. Ann. 244 (1979), 233-242. Zbl0402.10042

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