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Open Access Research Article

Power moments of the coefficients of an L-function over a polynomial in six variables

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pp. 371–383Vol. 29Issue 2February 2026DOI: 10.47974/JIM-2231XML
Received:
11 Dec 2024
Published Online:
22 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2231
Pages:
371–383

Abstract

Let f denote a normalized Hecke eigenform of an even integral weight κ ≥ 2 on the group SL2 (ℤ). We study power moments of the coefficients of an L-function associated with the eigenform f over square-free positive integers represented by the polynomial  g(x1, x2, x3, x4, x5, x6) = x21 + x22 + S3≤j≤6 xj (xj + 1) ∈ ℤ[x1, x2, x3, x4, x5, x6].

Keywords

Subject Classifications

Primary 11F30Secondary 11N3711F66

References

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