On the number of representations of integers by quadratic forms with congruence conditions

2013/10/22 by Bumkyu Cho, Cho, Bumkyu
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1310.6056

openalex publication_date 2013/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the generating function of the number of representations described in the title in terms of the theory of modular forms. Appealing to this characterization we obtain explicit formulas for the representation numbers as examples.

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