Discrete restrictions from Laurent monomial systems for multiple Dirichlet series

2025/07/31 by Hua, Shenghao
#05A15 #11A07 #11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2507.23477

Abstract

We introduce a special class of multiple Dirichlet series whose terms are supported on a variety and which admit an Euler product structure. We proposed several conjectures on the analytic properties of these series.

Citations

• Toroidal families and averages of L-functions, I

Related

• The multiple Dirichlet product and the multiple Dirichlet series
• General multiple Dirichlet series from perverse sheaves
• Dirichlet L-series at s=0 and the scarcity of Euler systems
• Multiple Dirichlet series associated to additive and Dirichlet characters
• On certain multiple Dirichlet series