On the zeros on the critical line of \(L\)-functions corresponding to automorphic cusp forms
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Publication:650302
DOI10.1134/S0001434610090154zbMath1257.11083MaRDI QIDQ650302
Publication date: 25 November 2011
Published in: Mathematical Notes (Search for Journal in Brave)
Riemann zeta function\(L\)-functionRiemann hypothesisHecke operatorautomorphic cusp formJutila's circle method
Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Related Items (4)
On the zeros of the Epstein zeta-function on the critical line ⋮ On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ Simple zeros of modular L -functions ⋮ Selberg's method in the problem about the zeros of linear combinations of \(L\)-functions on the critical line
Cites Work
- On zeros of Hecke \(L\)-functions and their linear combinations on the critical line
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- Zeros on the critical line for Dirichlet series attached to certain cusp forms
- Zeros of derivatives of Riemann's xi-function on the critical line
- Analytic properties of Dirichlet generating functions of arithmetic objects
- Zeros of derivatives of Riemann's Xi-function on the critical line. II
- Simple zeros of the Riemann zeta-function
- More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
- La conjecture de Weil. I
- Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
- Zeros on the critical line for Maass wave form L-functions.
- More than two fifths of the zeros of the Riemann zeta function are on the critical line.
- Formes modulaires de poids $1$
- Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series
- Zeros of a special type of function associated with Hecke L -functions of imaginary quadratic fields
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