LIST OF PUBLICATIONS


PAPERS:

  1. with A. Susa: An analogue to Artin's conjecture for multiplicative subgroups of the rationals Arch. Math. 101 (2013), 319-330 *

  2. Divisibility of reduction in groups of rational numbers Math. Comp. 84 (2015), 385-407 *

  3. with Kalyan Chakraborty and Jorge Jimenez Urroz: Pairs of integers which are mutually squares. In preparation.

  4. On simultaneous primitive roots. In preparation. Об Одновременно Первообразных Корнях

  5. On the exponents of the group of points of an Elliptic curve over a finite field. Proc. Amer. Math. Soc. 139 No. 7 (2011) 2337-2341. *

  6. with W. Banks and I. Shparlinski: Possible Group Structures of Elliptic Curves over Finite Fields. Experimental Mathematics 21, Issue 1, March 2012, pages 11-25. *

  7. with Étienne Fouvry, F. Luca and I. Shparlinski: Counting dihedral and quaternionic extensions. Trans. Amer. Math. Soc. 363 No. 6 (2011) 3233-3253. *

  8. with S. D. Adhikari, R. Balasubramanian and P. Rath: Some zero-sum constants with weights. Proceedings of Indian Academy of Sciences. 118, No. 2, (2008), 183-188. *

  9. with F. Luca: Composite positive integers with an average prime factor. Acta Arithmetica 129 (2007), 197-201 *

  10. with Arto Lepistö and Kalle Saari: Transposition Invariant Words. Theoretical Computer Science 380, Issue 3 (June 2007) 377-387, Combinatorics on words. *

  11. with A. Glibichuk and F. Luca: On the equation t(l(n))=w(n)+k. Michigan Mathamatical Journal 55, Issue 3 (2007), 671-692. *

  12. with A. Susa: On a problem of Schinzel and Wójcik involving equalities between multiplicative orders. Math. Proc. Cambridge Philos. Soc. 146.2 (2009), 303-319. *

  13. with W. Banks, K. Ford, F. Luca and I. Shparlinski: Values of the Euler Function in Various Sequences. Monats. Math. 146 (2005), 1-19. *

  14. with W. Banks, J. B. Friedlander, F. Luca and I. Shparlinski: Coincidences in the Values of the Euler and Carmichael Functions. Acta Arithmetica 122.3 (2006), 207-234. *

  15. with Alf van der Poorten: Pseudo-Elliptic Integrals, Units and Torsion. J. Aust. Math. Soc. 79 (2005), 335-347. *

  16. A survey on k-power freeness. Proceeding of the Conference in Analytic Number Theory in Honor of Prof. Subbarao at I.M.Sc. Chennai, January 2003. Number theory, 71--88, Ramanujan Math. Soc. Lect. Notes Ser. 1, Ramanujan Math. Soc., Mysore, 2005. *

  17. with W. Banks: Powerfree Values of the Euler Function. J. Num. Theory 120 (2006) 326-348. *

  18. with F. Luca: Members of binary recurrences on lines of the Pascal triangle. Publ. Math. Debrecen 67 1-2 (2005) 103-113. *

  19. with S. das Adhikari, Y. G. Chen, J. B. Friedlander, S. Konyagin: Contributions to zero-sum problems. Discrete Math 306 (2006), 1-10. *

  20. with S. Konyagin: Enumerating permutation polynomials over finite fields by degree II. Finite Fields and their Applications 12 (2006) 26-37. *

  21. Squarefree Values of the Order Function. New York Journal of Mathematics 9 (2003), 331-344. *

  22. with F. Saidak and I. Shparlinski: Squarefree Values of the Carmichael Function. J. Num. Theory 103 (2003) 122-131. *

  23. with D. Cosentino: Fast computation of k-dimensional residues and an application to probabilistic encryption. *

  24. with C. David: Average Frobenius Distribution for inerts in Q(i). Journal of the Ramanujan Mathematical Society 19 (2004, no 3), 1-21. *

  25. with C. Malvenuto: Enumerating Permutation Polynomials II: k-cycles with minimal degree. Finite Fields and their Applications 10 (2004) 62-76. *

  26. with S. das Adhikari: On the visibility problem in the function field case. C. R. Math. Acad. Sci. Soc. R. Can. 24 (2002), no. 3, 109-116. *

  27. with S. Konyagin: Enumerating Permutation Polynomials over finite fields by degree. Finite Fields and their Applications 8 (2002) 548-553. *

  28. with C. Malvenuto: Enumerating Permutation Polynomials I: Permutations with non maximal degree. Finite Fields and their Applications 8 (2002) 531-547. * - corrigendum ibid. 13 1 (2007) 171-174. *

  29. with B. Mans and I. Shparlinski: On the spectral Adams property for circulant graphs. Discrete Math. 254 (2002) 309-329. *

  30. with E. Croot, D. E. Dobbs, J. B. Friedlander, A. J. Hetzel: Binary Egyptian Fractions. J. Num. Theory 84 (2000) 63-79. *

  31. with L. Cangelmi: On the r-rank Artin Conjecture II. J. Num. Theory 75 No.1 (1999) 120-132. *

  32. with C. David and H. Kisileveski: Galois representations with non surjective traces. Canad. J. Math. 51 No. 5 (1999) 936-951. *

  33. with C. David: Average Frobenius Distribution of Elliptic Curves. Internat. Math. Res. Notices 4 (1999) 165-183. *

  34. On Hooley's Theorem with weights. Rend. Sem. Mat. Polit. Univ. Torino 53 No. 4 (1995) 375-388. *

  35. with J. von zur Gathen: Density Estimates related to Gauss periods. Lam, Kwok-Yan (ed.) et al., Cryptography and computational number theory. Proceedings of the workshop, CCNT'99, Singapore, November 22-26, 1999. Basel: Birkhäuser. Prog. Comput. Sci. Appl. Log. 20, 33-41 (2001). *

  36. The r-rank Artin Conjecture. Math. Comp. 66 (1997) 853-868. *

  37. On the order of finitely generated subgroups of Q* and divisors of p-1. J. Num. Theory 57 No. 2 (1996) 207-222. *

  38. with I. Shparlinski: The Artin Conjecture for function fields. Finite Fields and their Applications 1 (1995) 399-404. *

  39. with H. Kisilevsky: On the exponent of the ideal class group of function fields. Acta Arithmetica LXXII No. 4 (1995) 311-321. *

  40. On minimal sets of generators for primitive roots. Bull. Canad. Math. Soc. 38 No. 4 (1995) 465-468. *

  41. On the exponent of the ideal class group of Q(Ö -d). Proc. Amer. Math. Soc. 123 No. 3 (1995) 663-671. *

  42. with H. E. Campbell, I. Hughes and P. Selik: On The ring of Invariants of F*2n. Comment. Math. Helvetici 66 (1991) 322-331. *
OTHER PUBLICATIONS:

    Editor: with F. Dramis, A. Gambacorta, R. Mignani and A. Trentalance Stato della Ricerca e sviluppi futuri: I primi dieci anni di attività della Facoltà M.F.N. di Roma Tre. Atti della Conferenza - Novembre 2001.

    Book: Note di crittografia a chiave pubblica.

    Book Review: with P. Mihailescu: Review of the book "Elliptic Curves in Cryptography" by I. Blake, G. Seroussi, N. Smart. Math. Comp. 2001. *

    with C. Malvenuto: On the Enumeration of Permutation Polynomials. Proc of Colloque LaCIM 2000 Combinatoire, Informatique et Applications Laboratoire de Combinatoire et d'Informatique Mathématique (LaCIM) Université du Québec à Montréal, 7 au 10 septembre 2000. *

    with B. Mans and I. Shparlinski: On Adams Conjecture for circulant graphs Hsu, Wen-Lian (ed.) et al., Computing and combinatorics. 4th annual international conference, COCOON '98, Taipei, Taiwan, ROC, August 12-14, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1449, 251-260 (1998). *

    Editor: with A. Perelli and C. Viola: Atti del Primo incontro Italiano di Teoria dei Numeri, Rend. Sem. Mat. Pol. Univ. Torino 53 No. 3-4 (1995).

    L'esponente del gruppo delle classi in campi di funzioni. Estratti Convegno Giornate di Geometria Algebrica ed argomenti Correlati III, L'Aquila 1995.

    PhD Thesis: Remarks on Artin Conjecture on Primitive Roots, McGill University, Montreal 1992. *

BEFORE NUMBER THEORY:

    with M. Fontana: Prime Spaces as Spectral Spaces. Annali di Matematica Pura ed Applicata (IV) 160 (1991) 331-345.

    Proceedings: Prime Spaces as Spectral Spaces, Convegno: "Alcuni aspetti della Teoria degli anelli commutativi" - Roma, 26 e 27 Maggio 1989.

    Tesi di Laurea: Sugli Spazi Spettrali, Nuovi Esempi ed Applicazioni Università La Sapienza, Roma, 1988.

November 2, 2010