Journal of Integer Sequences, Vol. 21 (2018), Article 18.4.7

On Certain Sums with Quadratic Expressions Involving the Legendre Symbol


Ram Krishna Pandey
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee 247667
Haridwar
India

Anshumaan Parashar
Department of Mechanical and Industrial Engineering
Indian Institute of Technology Roorkee
Roorkee 247667
Haridwar
India

Abstract:

In this paper, we find some identities for sums with quadratic and higher-order expressions involving the Legendre symbol. Some of these identities generalize identities recently obtained by Karaivanov and Vassilev.

Full version:  pdf,    dvi,    ps,    latex    

Received November 28 2017; revised versions received January 9 2018; April 8 2018. Published in Journal of Integer Sequences, May 9 2018.

Return to Journal of Integer Sequences home page