Publications

Mathematics

Most of the papers in this section are not yet published in peer reviewed journals, but are in preparation to submit

• The use of heuristical estimate in Number Theory,
  Aleksander Zujev, HAL preprint hal-03484332 (2021).
  
  
• On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n,
  Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1603.00080 (2016).
  
  
• On a floor equation,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• The series that Ramanujan misunderstood,
  Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1610.03693 (2016).
  
  
• Some almost partition theoretic identities,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Some left nested radicals,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• On integer solutions to a^2 + b^3 + c^4 = d^5,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Some equations with features of digit reversal and powers,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Product of digits of a cube, itself a cube,
  Geoffrey B. Campbell and Aleksander Zujev, work in progress.
  
  
• Diophantine solutions to a^3 + b^3 + c^3 = d^5 + 1,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Integer solutions for a^2/1 + (a+1)^2/2 + ... = b^2,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• On integer solutions to a^6 + b^6 = c^6 + d^6,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• On integer solutions to w^5 + x^5 = y^5 + z^3,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Some Diophantine equations with small integer solutions,
  Geoffrey B. Campbell and Aleksander Zujev, to be submitted.
  
  
• Gaussian integer solutions for the fifth power taxicab number problem,
  Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.07424 (2015).
  
  
• Variations on Ramanujan's nested radicals,
  Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1511.06865 (2015).
  
  
• A Diophantine sum with factorials,
  Geoffrey B. Campbell and Aleksander Zujev, arXiv preprint arXiv:1510.03056 (2015).
  
  
• Note on Non-Unitary Quantum Gates in Quantum Computing,
  Aleksander Zujev, Research paper HAL preprint hal-03495489
  
  
• About one numerical scheme of solution of boundary problems for biharmonic equations,
  N. V. Polyakov, A. S. Zujev, Depository of VINITI (1985, admitted 1986) (in Russian).