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Florian Luca

Identifiers

  • name variant Florian Luca 0.60 · backfill

Papers (80)

  1. Cullen and Woodall numbers in Padovan and Perrin sequences math.NT · 2026 · author #3
  2. On the period mod $m$ of polynomially-recursive sequences: a case study math.NT · 2019 · author #2
  3. On members of Lucas sequences which are products of factorials math.NT · 2019 · author #2
  4. An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers math.NT · 2018 · author #3
  5. Zeckendorf representations with at most two terms to x-coordinates of Pell equations math.NT · 2018 · author #2
  6. On the $x$--coordinates of Pell equations which are $k$--generalized Fibonacci numbers math.NT · 2018 · author #2
  7. Linear independence of powers of singular moduli of degree 3 math.NT · 2017 · author #1
  8. On the proximity of large primes math.NT · 2017 · author #2
  9. Diophantine triples in linear recurrence sequences of Pisot type math.NT · 2017 · author #3
  10. A variation on the theme of Nicomachus math.NT · 2017 · author #1
  11. On a problem of Pillai with $k$-generalised Fibonacci numbers and powers of $2$ math.NT · 2017 · author #3
  12. On a problem of Pillai with Fibonacci numbers and powers of 2 math.NT · 2017 · author #2
  13. Fibonacci Numbers which are Products of two Pell Numbers math.NT · 2017 · author #2
  14. On perfect powers that are sums of two Fibonacci numbers math.NT · 2017 · author #1
  15. Denominators of Bernoulli polynomials math.NT · 2017 · author #2
  16. On the error term of a lattice counting problem math.NT · 2017 · author #1
  17. On two functions arising in the study of the Euler and Carmichael quotients math.NT · 2017 · author #1
  18. The $r$th moment of the divisor function: an elementary approach math.NT · 2017 · author #1
  19. Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms math.NT · 2017 · author #4
  20. On the $X$-coordinates of Pell equations which are Tribonacci numbers math.NT · 2016 · author #1
  21. An elliptic sequence is not a sampled linear recurrence sequence math.NT · 2016 · author #1
  22. Power of Two as sums of Three Pell Numbers math.NT · 2016 · author #3
  23. On arithmetic lattices in the plane math.NT · 2016 · author #3
  24. Diversity in Parametric Families of Number Fields math.NT · 2016 · author #2
  25. Number Fields in Fibers: the Geometrically Abelian Case with Rational Critical Values math.NT · 2016 · author #2
  26. On $X$-coordinates of Pell equations which are repdigits math.NT · 2016 · author #2
  27. Diophantine triples with values in $k$-generalized Fibonacci sequences math.NT · 2016 · author #3
  28. Every positive integer is a sum of three palindromes math.NT · 2016 · author #2
  29. On a divisibility relation for Lucas sequences math.NT · 2015 · author #3
  30. Pell Numbers with Lehmer property math.NT · 2015 · author #2
  31. Only finitely many Tribonacci Diophantine triples exist math.NT · 2015 · author #4
  32. Pell Numbers whose Euler Function is a Pell Number math.NT · 2015 · author #2
  33. Lucas Numbers with Lehmer Property math.NT · 2015 · author #2
  34. Sylvester's Theorem and the Non-integrality of a certain Binomial Sum math.NT · 2015 · author #2
  35. Collinear CM-points math.NT · 2015 · author #2
  36. Finiteness results for Diophantine triples with repdigit values math.NT · 2015 · author #2
  37. Quadratic forms representing the $p$-th Fibonacci number math.NT · 2015 · author #2
  38. The Distribution of Self-Fibonacci Divisors math.NT · 2014 · author #1
  39. Rational Products of Singular Moduli math.NT · 2014 · author #2
  40. Powers of two as sums of two $k-$Fibonacci numbers math.NT · 2014 · author #3
  41. The image of Carmichael's $\lambda$-function math.NT · 2014 · author #2
  42. A note on the number of $S$-Diophantine quadruples math.NT · 2014 · author #1
  43. On the Fixed Points of the Map x -> x^x Modulo a Prime math.NT · 2014 · author #2
  44. Coincidences in generalized Lucas sequences math.NT · 2014 · author #3
  45. On shifted primes with large prime factors and their products math.NT · 2013 · author #1
  46. On the Typical Size and Cancelations Among the Coefficients of Some Modular Forms math.NT · 2013 · author #1
  47. Functional Graphs of Polynomials over Finite Fields math.NT · 2013 · author #2
  48. Carmichael numbers in the sequence (k2^n+1)_{n\ge 1} math.NT · 2013 · author #2
  49. On the largest prime factor of the $k-$Fibonacci numbers math.NT · 2012 · author #2
  50. On some monotonic combinatorial sequences conjectures math.CO · 2012 · author #1
  51. Compositions of n Satisfying Some Coprimality Conditions math.NT · 2012 · author #2
  52. On the Diophantine equation x^2+2^a.3^b.11^c=y^n math.NT · 2012 · author #4
  53. Corrigendum to "Cullen numbers with the Lehmer Property" math.NT · 2011 · author #2
  54. Values of the Euler phi-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields math.NT · 2011 · author #2
  55. Cullen Numbers with the Lehmer Property math.NT · 2011 · author #2
  56. On a variant of Giuga numbers math.NT · 2011 · author #2
  57. A note on odd perfect numbers math.NT · 2011 · author #2
  58. The number of solutions of lambda(x)=n math.NT · 2010 · author #2
  59. On numbers $n$ dividing the $n$th term of a linear recurrence math.NT · 2010 · author #2
  60. On the largest prime factor of $x^2-1$ math.NT · 2010 · author #1
  61. Common values of the arithmetic functions phi and sigma math.NT · 2009 · author #2
  62. Prime chains and Pratt trees math.NT · 2009 · author #3
  63. Some Additive Combinatorics Problems in Matrix Rings math.NT · 2009 · author #3
  64. On the Oppenheim's "factorisatio numerorum" function math.NT · 2008 · author #1
  65. Residue Classes Having Tardy Totients math.NT · 2007 · author #2
  66. On the largest prime factor of the Mersenne numbers math.NT · 2007 · author #2
  67. Counting Keith numbers math.NT · 2006 · author #2
  68. Heron triangles with two fixed sides math.NT · 2006 · author #2
  69. Arithmetic properties of the Ramanujan function math.NT · 2006 · author #1
  70. Non-Holonomicity of Sequences Defined via Elementary Functions math.CO · 2006 · author #4
  71. Integers without divisors from a fixed arithmetic progression math.NT · 2006 · author #3
  72. On the maximal order of numbers in the "factorisatio numerorum" problem math.NT · 2005 · author #2
  73. Uniform Distribution of Fractional Parts Related to Pseudoprimes math.NT · 2005 · author #3
  74. Divisibility of class numbers: enumerative approach math.NT · 2004 · author #2
  75. Noncototients and Nonaliquots math.NT · 2004 · author #2
  76. Exponential Sums and Congruences with Factorials math.NT · 2004 · author #2
  77. Character Sums and Congruences with n! math.NT · 2004 · author #2
  78. On the period of the continued fraction expansion of ${\sqrt {2^{2n+1}+1}}$ math.NT · 2004 · author #2
  79. On the prime power factorization of n! math.NT · 2003 · author #1
  80. Products of Factorials Modulo p math.NT · 2001 · author #1

Mentions

  • 2605.23084 #3 · arxiv_oai · confidence 0.70 Florian Luca
  • 1210.4101 #2 · backfill · confidence 0.70 Florian Luca
  • 1208.5151 #1 · backfill · confidence 0.70 Florian Luca
  • 1202.1670 #2 · backfill · confidence 0.70 Florian Luca
  • 1201.0730 #4 · backfill · confidence 0.70 Florian Luca
  • 1112.3321 #2 · backfill · confidence 0.70 Florian Luca
  • 1108.3805 #2 · backfill · confidence 0.70 Florian Luca
  • 1103.3578 #2 · backfill · confidence 0.70 Florian Luca
  • 1103.3428 #2 · backfill · confidence 0.70 Florian Luca
  • 1103.1437 #2 · backfill · confidence 0.70 Florian Luca
  • 1010.5442 #2 · backfill · confidence 0.70 Florian Luca
  • 1010.4544 #2 · backfill · confidence 0.70 Florian Luca
  • 1005.1533 #1 · backfill · confidence 0.70 Florian Luca
  • 0906.3380 #2 · backfill · confidence 0.70 Florian Luca
  • 0904.0473 #3 · backfill · confidence 0.70 Florian Luca
  • 0902.3482 #3 · backfill · confidence 0.70 Florian Luca
  • 0807.0986 #1 · backfill · confidence 0.70 Florian Luca
  • 0709.3056 #2 · backfill · confidence 0.70 Florian Luca
  • 0704.1327 #2 · backfill · confidence 0.70 Florian Luca

Frequent Coauthors