On the sum of equal powers of the first n terms of an arbitrary arithmetic progression. I

Peter Vassilev and Mladen Vassilev-Missana
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 11, 2005, Number 3, Pages 15–21
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Authors and affiliations

Peter Vassilev
CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria

Mladen Vassilev-Missana
5 V. Hugo Str., Sofia 1124, Bulgaria

References

  1. Borevich Z., Shafarevich I., Number Theory (Second edition), Moscow, Nauka, 1972 (in Russian).
  2. Abramowitz M., Stegun A., Handbook of mathematical, functions, National Bureau of Standarts Applied Mathematics series. 55, issued June 1964.
  3. Ireland K., Rosen M., A Classical Introduction to Modern Number Theory, Springer-Verlag, New York, 1982.

Related papers

  1. Vassilev, P., and Vassilev-Missana, M. (2005). On the sum of equal powers of the first n terms of an arbitrary arithmetic progression. II. Notes on Number Theory and Discrete Mathematics, 11(4), 25-28.
  2. Pita-Ruiz, C. (2018). On a generalization of Eulerian numbers. Notes on Number Theory and Discrete Mathematics, 24 (1), 16–42.
  3. Shiue, P. J., Huang, S. C., & Jameson, E. (2020). On algorithms for computing the sums of powers of arithmetic progressions. Notes on Number Theory and Discrete Mathematics, 26 (4), 113-121.
  4. Shiue, P. J., Huang, S. C., & Reyes, J. E. (2021). Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers. Notes on Number Theory and Discrete Mathematics, 27(4), 140-148.

Cite this paper

Vassilev, P., and Vassilev-Missana, M. (2005). On the sum of equal powers of the first n terms of an arbitrary arithmetic progression. I. Notes on Number Theory and Discrete Mathematics, 11(3), 15-21.

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