Giovanni Coppola

My research interests belong to Analytic Number Theory.
In particular, I study the distribution of arithmetic functions in short intervals and/or in the arithmetic progressions, by Sieve Methods, Dispersion Method and Kloosterman sums estimates.

I miei interessi di ricerca si trovano nell’ambito della Teoria Analitica dei Numeri.
In particolare, problemi di distribuzione di funzioni aritmetiche in intervalli corti e/o nelle progressioni aritmetiche, tramite i metodi di crivello, della dispersione e di stime di somme di Kloosterman.

1. G.Coppola - "ON THE SYMMETRY OF DIVISOR SUMS FUNCTIONS IN ALMOST ALL SHORT INTERVALS" - Integers 4 (2004), A2, 9 pp. MR 2005b:11153
   (http://www.integers-ejcnt.org/).
2. G.Coppola - "ON THE SYMMETRY OF SQUARE-FREE SUPPORTED ARITHMETICAL FUNCTIONS IN ALMOST ALL SHORT INTERVALS" – J. of Inequalities in Pure and Applied Math. 5 (2004), no. 2, Article 33 MR2005f:11210 
   (http://www.emis.de/journals/JIPAM/).
3. G.Coppola, S.Salerno - "ON THE SYMMETRY OF ARITHMETICAL FUNCTIONS IN ALMOST ALL SHORT INTERVALS" – C. R. Math. Rep. Acad. Sci. Canada 26 (2004), no. 4, 118—125. MR2005m:11180 
   (http://comptes.math.carleton.ca/).
4. Coppola, Giovanni "On the symmetry of square-free numbers in almost all short intervals." Riv. Mat. Univ. Parma (7) 3* (2004), 205--212. MR2005k:11192 
   (http://www.math.unipr.it/~rivista/dati/indice.html) 
5. Coppola, G.; Salerno, S. On the symmetry of the divisor function in almost all short intervals. Acta Arith. 113 (2004), no. 2, 189–201. MR2005a:11144
   (journals.impan.gov.pl/aa)
6. Coppola, Giovanni "On the symmetry of primes in almost all short intervals." Ricerche Mat. 52 (2003), no. 1, 21--29. MR2005f:11209 
    (http://www.springerlink.com/content/0035-5038)
7. Adhikari, S. D.; Coppola, G.; Mukhopadhyay, Anirban On the average of the sum-of-p-prime-divisors func- tion. Acta Arith. 101 (2002), no. 4, 333–338. MR2002k:11163
   (journals.impan.gov.pl/aa/ )
8. Adhikari, S. D.; 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. MR2003f:11143
   (http://www.hindbook.com/)
9. G.Coppola, S.Salerno - "ON THE DISTRIBUTION IN THE ARITHMETIC PROGRESSIONS OF QUADRATIC REDUCIBLE POLYNOMIALS IN SHORT INTERVALS, II" - 21st Journées Arithmétiques (Rome, 2001). J. Théor. Nombres Bordeaux 13 (2001), no. 1, 93--102. MR 2002e:11126
   (http://www.emis.de/journals/JTNB/).
10. Coppola, G.; Salerno, S. "On the distribution in the arithmetic progressions of reducible quadratic polynomials in short intervals". Dedicated to Wƚodzimierz Staś on the occasion of his 75th birthday. Funct. Approx. Comment. Math. 28 (2000), 75--81. MR2002a:11111 
    (http://www.staff.amu.edu.pl/~fa/index.php) 
11. Coppola, G.; Vitolo, A. On the distribution of primes in intervals of length $logsp Theta N$. Acta Math. Hungar. 70 (1996), no. 1-2, 151--166. MR96i:11103 
    Corr.: Acta Math. Hungar. 78 (1998), no. 4, 359--361. MR99c:11115
    (www.springerlink.com), instead of 70.1.2 see 69.4, article 18
12. Coppola, G.; Laporta, M. B. S. "A new ``weighted'' form of the Riemann-von Mangoldt explicit formula." Note Mat. 14 (1994), no. 2, 263--275 (1997). MR98k:11118  
    (http://siba-ese.unisalento.it)
13. Coppola, G.; Laporta, M. B. S. "On the representation of even integers as sum of two almost equal primes. Number theory, I (Rome, 1995)." Rend. Sem. Mat. Univ. Politec. Torino 53 (1995), no. 3, 245--252. MR98h:11122  (http://seminariomatematico.dm.unito.it/)