On certain G L ( 6 ) form and its Rankin-Selberg convolution

Amrinder Kaur; Ayyadurai Sankaranarayanan

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 2, page 415-427
  • ISSN: 0011-4642

Abstract

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We consider L G ( s ) to be the L -function attached to a particular automorphic form G on G L ( 6 ) . We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg L -function L G × G ( s ) . As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of L G × G ( s ) .

How to cite

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Kaur, Amrinder, and Sankaranarayanan, Ayyadurai. "On certain $GL(6)$ form and its Rankin-Selberg convolution." Czechoslovak Mathematical Journal 74.2 (2024): 415-427. <http://eudml.org/doc/299381>.

@article{Kaur2024,
abstract = {We consider $L_G(s)$ to be the $L$-function attached to a particular automorphic form $G$ on $GL(6)$. We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$-function $L_\{G \times G\}(s)$. As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_\{G \times G\}(s)$.},
author = {Kaur, Amrinder, Sankaranarayanan, Ayyadurai},
journal = {Czechoslovak Mathematical Journal},
keywords = {Maass form; automorphic form; Rankin-Selberg convolution},
language = {eng},
number = {2},
pages = {415-427},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On certain $GL(6)$ form and its Rankin-Selberg convolution},
url = {http://eudml.org/doc/299381},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Kaur, Amrinder
AU - Sankaranarayanan, Ayyadurai
TI - On certain $GL(6)$ form and its Rankin-Selberg convolution
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 2
SP - 415
EP - 427
AB - We consider $L_G(s)$ to be the $L$-function attached to a particular automorphic form $G$ on $GL(6)$. We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$-function $L_{G \times G}(s)$. As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_{G \times G}(s)$.
LA - eng
KW - Maass form; automorphic form; Rankin-Selberg convolution
UR - http://eudml.org/doc/299381
ER -

References

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