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On the representation numbers of ternary quadratic forms and modular forms of weight 3/2

โœ Scribed by Guo, Xuejun; Peng, Yuzhen; Qin, Hourong


Book ID
122260532
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
373 KB
Volume
140
Category
Article
ISSN
0022-314X

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Almost Periodicity of the Normalized Rep
โœ Manfred Peter ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 197 KB

It is shown that the function which associates to each natural number n the appropriately normalized number of representations of n by a positive definite ternary quadratic form is almost periodic. Furthermore the mean value of this function on the squarefree numbers is calculated and it is shown th