Publication List of Giovanni Coppola (Born in Avellino, ITALY, on 20th Feb.1970)
Scientific Publications
1) Coppola, G. - On the symmetry of primes in almost all short intervals - Ric. Mat. 52.1 (2003), 21–29.
MR 2005f : 11209
2) Coppola, G. - On the symmetry of divisor sums functions in almost all short intervals - Integers 4(2004), A2, 9 pp. (electronic). MR 2005b : 11153
3) Coppola, G. - On the symmetry of square-free supported arithmetical functions in short intervals JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 2, Article 33, 11 pp. (electronic). MR 2005f : 11210
4) Coppola, G. - On the symmetry of square-free numbers in almost all short intervals - Riv. Math.
Univ. Parma (N.S.) (7) 3* (2004), 205–212. MR 2005k : 11192
5) Coppola, G. - On the Correlations, Selberg integral and symmetry of sieve functions in short intervals- J. Comb. Number Theory 2.2 (2010), Article 1, 91–105.
6) Coppola, G. - On the Selberg integral of the k-divisor function and the 2k-th moment of the Riemannzeta-function - Publ. Inst. Math. (Beograd) (N.S.) 88(102) (2010), 99–110. MR 2011m : 11173
7) Coppola, G. - On the Correlations, Selberg integral and symmetry of sieve functions in short intervals,
II - Int. J. Pure Appl. Math. 58.3 (2010), 281–298.
8) Coppola, G. - On some lower bounds of some symmetry integrals - Afr.Mat. 25 issue 1 (2014), 183–195.
9) Adhikari, S. D. and Coppola, G. - On the average of the sum-of-odd-divisors function - Currents trends
in number theory (Allahabad, 2000), 1–15, Hindustan Book Agency, New Delhi, 2002. MR 2003f : 1114310) Adhikari, S. D., Coppola, G. and Mukhopadhyay, A. - On the average of the sum-of-p-prime-divisors
function - Acta Arith. 101 (2002), no. 4, 333–338. MR 2002k : 11163
11) Coppola, G. and Laporta, M. - A new “weighted” form of the Riemann-von Mangoldt explicit formula- Note Mat. 14 (1994), no. 2, 263–275 (1997). MR 98k : 11118 - available online
12) Coppola, G. and Laporta, M. - On the representation of even integers as sum of two almost equal primes- Number theory, I (Rome, 1995) - Rend. Semin. Mat. Univ. Politec. Torino 53.3 (1995), 245–252.
MR 98h : 11122
13) Coppola, G. and Laporta, M. - Generations of correlation averages - J. Numbers Volume 2014 (2014),Article ID 140840, 13 pages http://dx.doi.org/10.1155/2014/140840 (compare arxiv draft)
14) Coppola, G. and Laporta, M. - A generalization of Gallagher’s Lemma for exponential sums - ŠiauliaiMath. Semin. 10 (18) (2015), 29–47.
15) Coppola, G. and Laporta, M. - On the Correlations, Selberg integral and symmetry of sieve functionsin short intervals, III - Moscow J. of Combinatorics and N.T. 6.1 (2016), 3–24.
16) Coppola, G. and Laporta, M. - Sieve functions in arithmetic bands - Hardy-Ramanujan J. 39 (2016),21–37.
17) Coppola, G. and Laporta, M. - A note on the exponential sums of the localized divisor functions Anal. Probab. Methods Number Theory, 25–28, (Palanga 2016 Conference Proceedings), A. Dubickas
et al. (Eds), 2017 Vilnius University18) Coppola, G., Murty, M.R. and Saha, B. - On the error term in a Parseval type formula in the theory ofRamanujan expansions II - J. Number Theory 160 (2016), 700–715.
19) Coppola, G., Murty, M.R. and Saha, B. - Finite Ramanujan expansions and shifted convolution sumsof arithmetical functions - J. Number Theory 174 (2017), 78–92.
20) Coppola, G. and Salerno, S. - On the distribution in the arithmetic progressions of reducible quadratic
polynomials in short intervals - Funct. Approx. Comment. Math. 28 (2000), 75–81. MR 2002a : 11111
21) Coppola, G. and Salerno, S. - On the distribution in the arithmetic progressions of reducible quadratic
polynomials in short intervals, II - 21st Journées Arithmétiques (Rome, 2001). - J. Théor. Nombres
Bordeaux 13 (2001), no. 1, 93–102. MR 2002e : 11126 - available online
22) Coppola, G. and Salerno, S. - On the symmetry of the divisor function in almost all short intervals Acta Arith. 113 (2004), no. 2, 189–201. MR 2005a : 1114423) Coppola, G. and Salerno, S. - On the symmetry of arithmetical functions in almost all short intervals- C. R. Math. Acad. Sci. Soc. R. Can. 26 (2004), no. 4, 118–125. MR 2005m : 11180124) Coppola, G. and Vitolo, A. - On the distribution of primes in intervals of length logΘ N - Acta Math.
Hungar. 70 (1996), no. 1-2, 151–166. MR 96i : 11103
25) Coppola, G. and Vitolo, A.-Corrigendum to:“On the distribution of primes in intervals of length logΘ N ”[Acta Math.Hungar. 70.1-2 (1996), 151–166.] Acta Math.Hungar. 78.4 (1998), 359–361. MR 99c : 11115
Preprints
1. Coppola, G. and Laporta, M.B.S. - Almost equal prime solutions of linear equations in two variables Preprint University of Salerno,1999
2. Coppola, G. and Salerno, S. - On the distribution in the arithmetic progressions of quadratic reducible
polynomials in short intervals, III - Preprint
3. Coppola, G. and Iwaniec, H. - On the symmetry of Hecke eigenvalues of modular forms in almost allshort intervals - Preprint n. 19 - July 2005 - University of Salerno
4. Coppola, G. - On the symmetry of arithmetical functions in almost all short intervals, II - Preprint n.
13 - July 2006 - University of Salerno
5. Coppola, G. - On the symmetry of arithmetical functions in almost all short intervals, III - Preprint n.
14 - July 2006 - University of Salerno6. Coppola, G. - On the symmetry of arithmetical functions in almost all short intervals, IV - available
online at http://arxiv.org/abs/0805.1985v1 - 10 pp. (electronic).
7. Coppola, G. - On the symmetry of arithmetical functions in almost all short intervals, V - available
online at http://arxiv.org/abs/0901.4738v2 - 5 pp. (electronic).
8. Coppola, G. - On the modified Selberg integral - http://arxiv.org/abs/1006.1229v1 - 6 pp. (electronic).
9. Coppola, G. - On the symmetry integral - http://arxiv.org/abs/1007.1018v1 - 5 pp. (electronic).
10. Coppola, G. and Laporta, M. - Generations of correlation averages - http://arxiv.org/abs/1205.1706v3- 24 pp. (electronic). (compare Journal version, which is shorter)
11. Coppola, G. - On the Selberg integral of the three-divisor function d3 - http://arxiv.org/abs/1207.0902v3- 4 pp. (electronic).
12. Coppola, G. and Laporta, M. - A modified Gallagher’s Lemma - http://arxiv.org/abs/1301.0008v1 - 5
pp. (electronic).
13. Coppola, G. and Laporta, M. - Symmetry and short interval mean-squares - submitted, see online
http://arxiv.org/abs/1312.5701v3 - 20 pp. (electronic).
14. Coppola, G. and Laporta, M. - Some optimal links between generations of correlation averages - available
online at http://arxiv.org/abs/1505.04551v1 - 5 pp. (electronic), submitted.
15. Coppola, G. - Averages of short correlations: a note - http://arxiv.org/abs/1603.04847v1 - 7 pp. (electronic).
16. Coppola, G. - On the symmetry of distribution of the prime-divisors function in short intervals - (toappear).
Collaborations with Journals∗ Reviewer for Mathematical Reviews∗ Reviewer for Zentralblatt MATH
Avellino, 27 March 2017

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