SOLVING LINEAR EQUATIONS IN L-FUNCTIONS

作者：Kaczorowski J^*; Perelli A

来源：International Journal of Number Theory, 2014, 10(3): 569-584.

DOI：10.1142/S1793042113501091

• L-functions
• Selberg class
• functional equations
• linear equations

We describe the solutions of the linear equation aX + bY = cZ in the class of Dirichlet series with functional equation. Proofs are based on the properties of certain nonlinear twists of the L-functions.

• 出版日期2014-5