# A note on primes between consecutive powers

Rendiconti del Seminario Matematico della Università di Padova (2009)

- Volume: 121, page 223-231
- ISSN: 0041-8994

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top## How to cite

topBazzanella, Danilo. "A note on primes between consecutive powers." Rendiconti del Seminario Matematico della Università di Padova 121 (2009): 223-231. <http://eudml.org/doc/108758>.

@article{Bazzanella2009,

author = {Bazzanella, Danilo},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {distribution of primes; density hypothesis},

language = {eng},

pages = {223-231},

publisher = {Seminario Matematico of the University of Padua},

title = {A note on primes between consecutive powers},

url = {http://eudml.org/doc/108758},

volume = {121},

year = {2009},

}

TY - JOUR

AU - Bazzanella, Danilo

TI - A note on primes between consecutive powers

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 2009

PB - Seminario Matematico of the University of Padua

VL - 121

SP - 223

EP - 231

LA - eng

KW - distribution of primes; density hypothesis

UR - http://eudml.org/doc/108758

ER -

## References

top- [1] D. BAZZANELLA, The exceptional set for the distribution of primes between consecutive squares, Preprint 2008. Zbl1240.11100
- [2] D. BAZZANELLA, The exceptional set for the distribution of primes between consecutive powers, Acta Math. Hungar, 116 (3) (2007), pp. 197-207. Zbl1240.11100MR2322949
- [3] D. BAZZANELLA, Primes between consecutive square, Arch. Math., 75 (2000), pp. 29-34. Zbl1047.11087MR1764888
- [4] D. BAZZANELLA - A. PERELLI, The exceptional set for the number of primes in short intervals, J. Number Theory, 80 (2000), pp. 109-124 . Zbl0972.11087MR1735650
- [5] H. DAVENPORT, Multiplicative Number Theory, volume GTM 74 (Springer - Verlag, 1980), second edition. Zbl0453.10002MR606931
- [6] D. R. HEATH-BROWN, The difference between consecutive primes II, J. London Math. Soc., 19 (2) (1979), pp. 207-220. Zbl0394.10021MR533319
- [7] D. R. HEATH-BROWN, The number of primes in a short interval. J. Reine Angew. Math., 389 (1988), pp. 22-63. Zbl0646.10032MR953665
- [8] M. N. HUXLEY, On the difference between consecutive primes, Invent. Math., 15 (1972), pp. 164-170. Zbl0241.10026MR292774
- [9] A. E. INGHAM, On the difference between consecutive primes, Quart. J. of Math. (Oxford), 8 (1937), pp. 255-266. Zbl0017.38904JFM63.0903.04
- [10] A. IVIĆ, The Riemann Zeta-Function , John Wiley and Sons, New York, 1985. Zbl0556.10026MR792089

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