References
Br. C. Berndt and R. J. Evans, Bull. Amer. Math. Soc. (N. S.) 5 (2), 107 (1981).
M. Schaar, “Mémoire sur la théorie des résidus quadratiques,” Mémoires de l’Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique 24 (1850 https://www.biodiversitylibrary.org/item/20728).
A. V. Malyshev, in Tr. Math. Inst. Steklova (Akad. Nauk SSSR, Moscow, 1962), Vol. 65, pp. 3–212.
N. M. Korobov, Trigonometric Sums and Their Applications (Nauka, Moscow, 1989) [in Russian].
V. Armitage and A. Rogers, J. Phys. A 33, 5993 (2000).
B. Moore, Ramanujan J. 53, 653 (2020).
A. V. Ustinov, Math. Notes 73 (1), 97 (2003).
A. V. Ustinov, Dal’nevost. Mat. Zh. 14 (1), 90 (2014).
Acknowledgments
The author thanks M. A. Korolev for pointing out the paper [1].
Funding
This work was supported by the Russian Science Foundation under grant 22-41-05001, https://rscf.ru/project/22-41-05001.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Matematicheskie Zametki, 2022, Vol. 112, pp. 478–480 https://doi.org/10.4213/mzm13535.
Rights and permissions
About this article
Cite this article
Ustinov, A.V. A Short Proof of the Landsberg–Schaar Identity. Math Notes 112, 488–490 (2022). https://doi.org/10.1134/S0001434622090188
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434622090188