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Florian Luca

Identifiers

  • name variant Florian Luca 0.60 · backfill

Papers (81)

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

Mentions

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Frequent Coauthors