Period polynomials and explicit formulas for Hecke operators on Γ0(2)

DOI10.1017/S0305004108001321zbMath1205.11052arXivmath/0608372MaRDI QIDQ3616236

Yifan Yang, Shinji Fukuhara

Publication date: 24 March 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608372

Mathematics Subject Classification ID

Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (8)

Hankel determinants of sequences related to Bernoulli and Euler polynomials ⋮ Double zeta values, double Eisenstein series, and modular forms of level 2 ⋮ A basis for \(S_k(\Gamma_0(4))\) and representations of integers as sums of squares ⋮ On Mordell-Tornheim double Eisenstein series ⋮ Twisted Hecke \(L\)-values and period polynomials ⋮ Kernels of \(L\)-functions of cusp forms ⋮ BASES FOR S_k(Γ₁(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION ⋮ On integral kernels for Dirichlet series associated to Jacobi forms

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Eine Verallgemeinerung der Abelschen Integrale
• Periods of modular forms and Jacobi theta functions
• Modulformen auf \(\Gamma_ 0(N)\) mit rationalen Perioden. (Modular forms for \(\Gamma_ 0(N)\) with rational periods)
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Representations of integers as sums of 32 squares
• Advanced determinant calculus: a complement
• Representations of integers as sums of an even number of squares
• Hecke operators on weighted Dedekind symbols

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