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We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$-functions associated to Hilbert modular forms whose local components at ramified… Click to show full abstract
We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$-functions associated to Hilbert modular forms whose local components at ramified places are some supercuspidal representations. This generalizes the work of Feigon and Whitehouse.
Keywords:
change functions;
associated hilbert;
functions associated;
twisted base;
hilbert modular;
base change
Journal Title: Journal of Number Theory
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!