Kernels of L-functions and shifted convolutions

2016/11/21 by Diamantis, Nikolaos · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1611.06899

Abstract

We give a characterisation of the field into which quotients of values of L-functions associated to a cusp form belong. The construction involves shifted convolution series of divisor sums and to establish it we combine parts of F. Brown's technique to study multiple modular values with the properties of a double Eisentein series previously studied by the author and C. O'Sullivan.

Cited by

• Convolution identities for complex-indexed divisor functions and modular graph functions

Related

• Kernels of L-functions of cusp forms
• Asymptotic bounds for special values of shifted convolution Dirichlet series
• On certain kernel functions and shifted convolution sums of the Fourier coefficients
• New bounds for automorphic L-functions
• Multiple Dirichlet Series and Shifted Convolutions