Regulators for Rankin-Selberg products of modular forms

TL;DR

This paper proves a weaker form of Beilinson's conjecture concerning special values of L-functions arising from the Rankin-Selberg product of two modular forms, advancing understanding of their algebraic properties.

Contribution

It establishes a partial proof of Beilinson's conjecture for non-critical L-values associated with Rankin-Selberg products of modular forms.

Findings

Proves a weak version of Beilinson's conjecture for these L-values.

Provides new insights into the algebraic nature of Rankin-Selberg L-functions.

Advances the theoretical understanding of special values in automorphic forms.

Abstract

We prove a weak version of Beilinson's conjecture for non-critical values of $L$-functions for the Rankin-Selberg product of two modular forms.