Results 31 to 40 of about 265 (42)

Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions

, 2014
We prove that given a Hecke-Maass form $f$ for $\text{SL}(2, \mathbb{Z})$ and a sufficiently large prime $q$, there exists a primitive Dirichlet character $\chi$ of conductor $q$ such that the $L$-values $L(\tfrac{1}{2}, f \otimes \chi)$ and $L(\tfrac{1}{
Das, Soumya, Khan, Rizwanur
core  

Applications of the Kuznetsov formula on GL(3). [PDF]

Invent Math, 2013
Blomer V.
europepmc   +1 more source

Assignment of groups responsible for the "opsin shift" and light absorptions of rhodopsin and red, green, and blue iodopsins (cone pigments). [PDF]

Proc Natl Acad Sci U S A, 1988
Kosower EM.
europepmc   +1 more source

Mean values connected with the Dedekind zeta-function of a non-normal cubic field

Open Mathematics, 2013
Lü Guangshi
doaj   +1 more source

The metabolism of tryptophan: The mode of formation of kynurenic acid from tryptophan. [PDF]

Biochem J, 1928
Robson W.
europepmc   +1 more source

On effective determination of symmetric-square lifts

Open Mathematics, 2014
Sun Qingfeng
doaj   +1 more source

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THE SUBCONVEXITY PROBLEM FOR L-FUNCTIONS

International Congress of Mathematicans, 2019
Estimating the size of automorphic L-functions on the critical line is a central problem in analytic number theory. An easy consequence of the standard analytic properties of theL-function is the convexity bound, whereas the generalised Riemann ...
R. Munshi
semanticscholar   +1 more source

Sums of twisted GL(2) L-functions over function fields

, 2003
Let K be a function field of odd characteristic, and let π (resp.,η) be a cuspidal automorphic representation of GL2(AK ) (resp.,GL1(AK )). Then we show that a weighted sum of the twists of L (s, π) by quadratic charactersχD, ∑ D L(s, π ⊗ χD)a0(s, π, D ...
Benji Fisher, S. Friedberg
semanticscholar   +1 more source

Piatetski-Shapiro ’ s Work on Converse Theorems

, 2013
Converse theorems were a central feature of Piatetski-Shapiro’s work on automorphic L-functions, from his first paper on the subject in 1971 to the last applications to functoriality in 2011.
J. Cogdell
semanticscholar   +1 more source