Modular Construction Of P -Adic L -Functions For Real Quadratic Fields

Key Points

• The aim is to develop a modular construction of p-adic L-functions specifically for real quadratic fields.
• Utilized period integrals of automorphic forms in the construction.
• Extended prior work by Darmon and Dasgupta to develop new results.
• Employed theoretical frameworks related to p-adic analysis.
• Presented new modular constructions of p-adic L-functions.
• Demonstrated the relevance of period integrals in the context of these functions.
• Established connections between the constructions and previous results in the field.