A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS

Author:

Balkanova Olga12,Bhowmik Gautami3,Frolenkov Dmitry45,Raulf Nicole3

Affiliation:

1. Department of Mathematics and Statistics University of Turku Turku 20014 Finland

2. Department of Mathematical Sciences Chalmers University of Technology and University of Gothenburg Chalmers tvärgata 3 412 96 Gothenburg Sweden

3. Laboratoire Painlevé LABEX‐CEMPI, Université Lille 59655 Villeneuve d Ascq Cedex France

4. National Research University Higher School of Economics Moscow Russia

5. Steklov Mathematical Institute of Russian Academy of Sciences 8 Gubkina st. Moscow 119991 Russia

Funder

Academy of Finland

Publisher

Wiley

Subject

General Mathematics

Reference25 articles.

1. Moments of L‐functions and Liouville–Green method;Balkanova O.;J. Eur. Math. Soc. (JEMS)

2. The mean value of symmetric square L-functions

3. V. A.Bykovskii Density theorems and the mean value of arithmetic functions on short intervals.Zap. Nauchn. Sem. S.‐Peterburg. Otdel. Mat. Inst. Steklov.(POMI)212(1994) Anal. Teor. Chisel i Teor. Funktsii.12 56-70 196 (in Russian)

4. Engl. transl.J. Math. Sci.(New York)83(6) (1997) 720-730.

5. Sums involving the values at negative integers of L-functions of quadratic characters

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1. A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight;Monatshefte für Mathematik;2023-11-18

2. On Motohashi’s formula;Transactions of the American Mathematical Society;2022-08-24

3. Mixed moment of GL(2) and GL(3)L‐functions;Proceedings of the London Mathematical Society;2019-12-05

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