Riemann hypothesis for period polynomials of modular forms
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Publication:2962319
DOI10.1073/pnas.1600569113zbMath1412.11075arXiv1601.03114OpenAlexW2237579816WikidataQ36684672 ScholiaQ36684672MaRDI QIDQ2962319
Ken Ono, Seokho Jin, Wenjun Ma, Kannan Soundararajan
Publication date: 16 February 2017
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.03114
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)
Related Items (17)
Ramanujan’s Formula for ζ(2n + 1) ⋮ Explorations in the Theory of Partition Zeta Functions ⋮ Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions ⋮ The ``Riemann hypothesis is true for period polynomials of almost all newforms ⋮ The zeros of odd period polynomials for newforms on \(\Gamma_0 (2)\) ⋮ The zeros of even period polynomials for newforms on Γ₀(𝑁) ⋮ Linear independence of even periods of modular forms ⋮ Homotopy types and geometries below Spec(ℤ) ⋮ The Riemann hypothesis for period polynomials of Hilbert modular forms ⋮ Special values of motivic \(L\)-functions and zeta-polynomials for symmetric powers of elliptic curves ⋮ Zeta-polynomials for modular form periods ⋮ Ramanujan identities of higher degree ⋮ On the zeros of period functions associated to the Eisenstein series for \(\Gamma_0^+(N)\) ⋮ Zeta-polynomials, Hilbert polynomials, and the Eichler-Shimura identities ⋮ Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials ⋮ An algebraic characterization of the Kronecker function ⋮ Riemann hypothesis for period polynomials attached to the derivatives of \(L\)-functions of cusp forms for \(\Gamma_0(N)\)
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