Representations of integers by certain 2k-ary quadratic forms

JOURNAL OF NUMBER THEORY

卷:179

Article

Ye, Dongxi¹ 

[1] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

关键词: Quadratic forms;    Representations of integers;    Sums of squares;    Theta functions;    Eta functions;    Modular forms;   

DOI  :  10.1016/j.jnt.2017.03.015

来源: Elsevier

【 摘 要 】

Suppose k is a positive integer. In this work, we establish formulas for the number of representations of integers by the quadratic forms x(1)(2) + ... + x(k)(2) + m (x(k+1)(2) + ... + x(2k)(2)) form is an element of {2,4}. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free