Francesco Pappalardi

PAPERS

• with Nathan Jones and Peter Stevenhagen: Locally Imprimitive Points on Elliptic Curves. to appear.
• with Herish Abdullah and Andam Ali Mustafa: Divisibility of reduction in groups of rational numbers II. Int. J. Number Theory 19 (2023), no. 2, 247–260. *
• with Herish Abdullah and Andam Ali Mustafa: Density of the quasi r-rank Artin problem. Funct. Approx. Comment. Math. 65 (2021), no. 1, 73–93.*
• Cyril Banderier, Carlos Alexis Gómez Ruiz,Florian Luca and Treviño, Enrique: On Egyptian fractions of length 3. Rev. Un. Mat. Argentina 62 (2021), no. 1, 257–274. *
• with Florian Luca: On the number of divisors of the least common multiples of shifted prime powers. Funct. Approx. Comment. Math. 64 (2021), no. 2, 153–161.*
• with Florian Luca: On ternary Egyptian fractions with prime denominator. Res. Number Theory 5 (2019), no. 4, Paper No. 34, 14 pp.*
• with Min Sha, Igor E. Shparlinski and Cameron L. Stewart: On multiplicatively dependent vectors of algebraic numbers. Trans. Amer. Math. Soc. 370 (2018), no. 9, 6221-6244.*
• with Kalyan Chakraborty and Jorge Jimènez Urroz: Pairs of integers which are mutually squares. Sci. China Math. 60 (2017), no. 9, 1633-1646.*
• with M. Anwar: On simultaneous primitive roots. Acta Arith. 180 (2017), no. 1, 35-43. *
• with A. Susa: An analogue to Artin's conjecture for multiplicative subgroups of the rationals. Arch. Math. 101 (2013), 319-330 *
• Divisibility of reduction in groups of rational numbers Math. Comp. 84 (2015), 385-407 *
• 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. *
• 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. *
• with Étienne Fouvry, F. Luca and I. Shparlinski: Counting dihedral and quaternionic extensions. Trans. Amer. Math. Soc. 363 No. 6 (2011) 3233-3253. *
• 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. *
• with F. Luca: Composite positive integers with an average prime factor. Acta Arithmetica 129 (2007), 197-201 *
• with Arto Lepistö and Kalle Saari: Transposition Invariant Words. Theoretical Computer Science 380, Issue 3 (June 2007) 377-387, Combinatorics on words. *
• with A. Glibichuk and F. Luca: On the equation t(l(n))=w(n)+k. Michigan Mathamatical Journal 55, Issue 3 (2007), 671-692. *
• 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. *
• with W. Banks, K. Ford, F. Luca and I. Shparlinski: Values of the Euler Function in Various Sequences. Monats. Math. 146 (2005), 1-19. *
• 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. *
• with Alf van der Poorten: Pseudo-Elliptic Integrals, Units and Torsion. J. Aust. Math. Soc. 79 (2005), 335-347. *
• 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. *
• with W. Banks: Powerfree Values of the Euler Function. J. Num. Theory 120 (2006) 326-348. *
• with F. Luca: Members of binary recurrences on lines of the Pascal triangle. Publ. Math. Debrecen 67 1-2 (2005) 103-113. *
• with S. das Adhikari, Y. G. Chen, J. B. Friedlander, S. Konyagin: Contributions to zero-sum problems. Discrete Math 306 (2006), 1-10. *
• with S. Konyagin: Enumerating permutation polynomials over finite fields by degree II. Finite Fields and their Applications 12 (2006) 26-37. *
• Squarefree Values of the Order Function. New York Journal of Mathematics 9 (2003), 331-344. *
• with F. Saidak and I. Shparlinski: Squarefree Values of the Carmichael Function. J. Num. Theory 103 (2003) 122-131. *
• with D. Cosentino: Fast computation of k-dimensional residues and an application to probabilistic encryption. *
• with C. David: Average Frobenius Distribution for inerts in Q(i). Journal of the Ramanujan Mathematical Society 19 (2004, no 3), 1-21. *
• with C. Malvenuto: Enumerating Permutation Polynomials II: k-cycles with minimal degree. Finite Fields and their Applications 10 (2004) 62-76. *
• 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. *
• with S. Konyagin: Enumerating Permutation Polynomials over finite fields by degree. Finite Fields and their Applications 8 (2002) 548-553. *
• 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. *
• with B. Mans and I. Shparlinski: On the spectral Adams property for circulant graphs. Discrete Math. 254 (2002) 309-329. *
• with E. Croot, D. E. Dobbs, J. B. Friedlander, A. J. Hetzel: Binary Egyptian Fractions. J. Num. Theory 84 (2000) 63-79. *
• with L. Cangelmi: On the r-rank Artin Conjecture II. J. Num. Theory 75 No.1 (1999) 120-132. *
• with C. David and H. Kisileveski: Galois representations with non surjective traces. Canad. J. Math. 51 No. 5 (1999) 936-951. *
• with C. David: Average Frobenius Distribution of Elliptic Curves. Internat. Math. Res. Notices 4 (1999) 165-183. *
• On Hooley's Theorem with weights. Rend. Sem. Mat. Polit. Univ. Torino 53 No. 4 (1995) 375-388. *
• 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). *
• The r-rank Artin Conjecture. Math. Comp. 66 (1997) 853-868. *
• On the order of finitely generated subgroups of Q^* and divisors of p-1. J. Num. Theory 57 No. 2 (1996) 207-222. *
• with I. Shparlinski: The Artin Conjecture for function fields. Finite Fields and their Applications 1 (1995) 399-404. *
• with H. Kisilevsky: On the exponent of the ideal class group of function fields. Acta Arithmetica LXXII No. 4 (1995) 311-321. *
• On minimal sets of generators for primitive roots. Bull. Canad. Math. Soc. 38 No. 4 (1995) 465-468. *
• On the exponent of the ideal class group of Q(Ö -d). Proc. Amer. Math. Soc. 123 No. 3 (1995) 663-671. *
• with H. E. Campbell, I. Hughes and P. Selik: On The ring of Invariants of F^*₂ⁿ. Comment. Math. Helvetici 66 (1991) 322-331. *