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Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10
Journal article   Peer reviewed

Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10

Bülent Köklüce
Proceedings of the Indian Academy of Sciences. Mathematical sciences, Vol.132(2), 55
09/21/2022
DOI: https://doi.org/10.1007/s12044-022-00700-8

Abstract

Article General Mathematics and Statistics Mathematics
In this paper, we used a modular form approach to determine explicit formulas for the number of representations of a positive integer n by certain octonary quadratic forms with coefficients 1, 2, 5 or 10. We found formulae for 36 octonary quadratic forms, 7 of which appeared in the literature.

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