Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$
From MaRDI portal
Publication:3055177
DOI10.1090/S0025-5718-09-02212-1zbMath1208.11020arXivmath/0702382MaRDI QIDQ3055177
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702382
Congruences; primitive roots; residue systems (11A07) Exponential Diophantine equations (11D61) Arithmetic progressions (11B25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Primes (11A41)
Related Items (7)
Chen's conjecture and its generalization ⋮ ON m-COVERS AND m-SYSTEMS ⋮ On the integers of the form $p^{2}+b^{2}+2^{n}$ and $b_{1}^{2}+b_{2}^{2}+2^{n^{2}}$ ⋮ On the integers of the form \(p+b\) ⋮ Perfect power Riesel numbers ⋮ On integers not of the form Fn ± pa ⋮ ON THE SUM OF A PRIME AND A FIBONACCI NUMBER
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
- Reduction of unknowns in diophantine representations
- On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
- Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
- On odd covering systems with distinct moduli
- An extension of Lucas’ theorem
- Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers
- Sieving by large integers and covering systems of congruences
- On the equation x2+dy2=Fn
- Not Every Number is the Sum or Difference of Two Prime Powers
- The Little Book of Bigger Primes
- Fibonacci numbers that are not sums of two prime powers
- A NOTE ON INTEGERS OF THE FORM 2n+cp
- On the Equations zm = F (x, y ) and Axp + Byq = Czr
- On integers not of the form ±𝑝^{𝑎}±𝑞^{𝑏}
- Unsolved problems in number theory
This page was built for publication: Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$
