ON A NONCRITICAL SYMMETRIC SQUARE -VALUE OF THE CONGRUENT NUMBER ELLIPTIC CURVES

DOI10.1017/S000497271900056XzbMath1461.11100arXiv1902.10372OpenAlexW2995577408WikidataQ114117708 ScholiaQ114117708MaRDI QIDQ5212956

Detchat Samart

Publication date: 31 January 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10372

zbMATH Keywords

elliptic curvesymmetric square \(L\)-functionEisenstein-Kronecker serieselliptic polylogarithm

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55)

Cites Work

• The elliptic trilogarithm and Mahler measures of \(K3\) surfaces
• Three-variable Mahler measures and special values of modular and Dirichlet \(L\)-series
• The Bloch-Wigner-Ramakrishnan polylogarithm function
• Zagier's conjecture on \(L(E,2)\)
• On an elliptic analogue of Zagier's conjecture
• Iwasawa theory for the symmetric square of an elliptic curve.
• Higher Regulators, Algebraic 𝐾-Theory, and Zeta Functions of Elliptic Curves
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