On quotients of derivatives of $L$-functions inside the critical strip

DOI10.1016/j.jnt.2023.12.001WikidataQ129599980 ScholiaQ129599980MaRDI QIDQ6150375

Publication date: 6 March 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Hilbert modular forms linear forms in logarithms digamma functions holomorphic modular forms of integral and half-integral weight Koecher Maass series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Transcendence (general theory) (11J81) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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Non-vanishing of derivatives of certain modular $L$-functions
Non-vanishing of Koecher-Maass series attached to Siegel cusp forms on the real line
On the nature of $e^{\gamma}$ and non-vanishing of derivatives of $L$-series at $s=1/2$
Linear independence of digamma function and a variant of a conjecture of Rohrlich
Sur les coefficients de Fourier des formes modulaires de poids demi-entier
Mean values of derivatives of modular $L$-series
The special values of the zeta functions associated with Hilbert modular forms
Shimura and Shintani correspondences
Nonvanishing of Hecke $L$-functions associated to cusp forms inside the critical strip
On Koecher-Maass series of Siegel modular forms
Nonvanishing and central critical values of twisted $L$-functions of cusp forms on average
The critical order of vanishing of automorphic $L$-functions with large level
On Selberg's eigenvalue conjecture
The rank of quotients of $J_0(N)$
The analytic rank of $J_0(q)$ and zeros of automorphic $L$-functions.
Nonvanishing of Koecher-Maass series attached to Siegel cusp forms
Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
On modular forms of half integral weight
Nonvanishing theorems for L-functions of modular forms and their derivatives
NON-VANISHING OF DERIVATIVES OF L-FUNCTIONS ATTACHED TO HILBERT MODULAR FORMS
Transcendental Nature of Special Values of L-Functions
Non-vanishing of $L$-functions of Hilbert modular forms inside the critical strip
Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight
A note on special values of 𝐿-functions
Transcendental Numbers
A note on Dedekind zeta values at 1/2

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On quotients of derivatives of \(L\)-functions inside the critical strip