A new Andrews-Crandall-type identity and the number of integer solutions to x^2+2y^2+2z^2=n

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A new Andrews-Crandall-type identity and the number of integer solutions to x^2+2y^2+2z^2=n

Research output: Contribution to journal › Article › peer-review

Faculty of Mathemathics and Computer Sciences
BM.5832.2021 Advanced Mathematics
CB.5000.2019 Mathematics

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DOI

https://doi.org/10.1007/s11139-023-00797-z
Final published version

Мария Каиржановна Досполова
Екатерина Александровна Кочеткова
Eric T. Mortenson

Using a higher-dimensional analog of an identity known to Kronecker, we discover a new Andrews–Crandall-type identity and use it to count the number of integer solutions to x2+2y2+2z2=n.

Original language	English
Pages (from-to)	969-994
Number of pages	26
Journal	Ramanujan Journal
Volume	63
Issue number	4
DOIs	https://doi.org/10.1007/s11139-023-00797-z
State	Published - 1 Apr 2024

Research areas

05A15, 11B65, 11E25, Appell functions, Class numbers, Ternary quadratic forms, Theta functions

ID: 126318433