Super-positivity of a family of \(L\)-functions in the level aspect

DOI10.1007/s40687-018-0134-4zbMath1441.11199arXiv1803.05394OpenAlexW2964075037WikidataQ130135964 ScholiaQ130135964MaRDI QIDQ2319747

Dorian Goldfeld, Bingrong Huang

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05394

zbMATH Keywords

\(L\)-functionmollificationreal zeroslevelzero-densitysuper-positivity

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions

Cites Work

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• A property of L-functions on the real line
• Bounds for automorphic \(L\)-functions. II
• Real zeros of quadratic Dirichlet \(L\)-functions
• Shtukas and the Taylor expansion of \(L\)-functions
• The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
• Zero-density estimate for modular form L-functions in weight aspect
• A lower bound for the rank of $J_0(q)$
• Super-positivity of a family of L-functions
• Explicit upper bound for the (analytic) rank of \(J_0(q)\)

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