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On the number of representations of integers by quadratic forms with congruence conditions
- Authors
- Cho, Bumkyu
- Issue Date
- 1-Jun-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Representation numbers; Quadratic forms; Modular forms
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.462, no.1, pp 999 - 1013
- Pages
- 15
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 462
- Number
- 1
- Start Page
- 999
- End Page
- 1013
- ISSN
- 0022-247X
1096-0813
- Abstract
- The generating functions of the number of representations of integers by quadratic forms under congruence conditions on the variables will be characterized in terms of modular forms. According to this characterization we present several formulas for the representation numbers as examples. (C) 2017 Elsevier Inc. All rights reserved.
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Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)