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On some properties of patial sums

Commutative Algebra 2014-06-06 v1 Number Theory

Abstract

The paper gives some criteria for partial sums of rational number sequences to be not rational functions and to be not algebraic functions. As an application, we study partial sums of some famous rational number sequences in mathematical analysis with relevance to number theory.

Keywords

Cite

@article{arxiv.1406.1168,
  title  = {On some properties of patial sums},
  author = {Duong Quoc Viet and Truong Thi Hong Thanh},
  journal= {arXiv preprint arXiv:1406.1168},
  year   = {2014}
}

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9 pages