A family of Berndt-type integrals and associated Barnes multiple zeta functions

Key Points

• Barnes multiple zeta functions exhibit rich analytic properties, underscoring their importance in mathematical theory.
• Key findings indicate new relationships among generalized integrals, enhancing the understanding of convergence and series expansions.
• The study employs complex analysis techniques, providing a detailed examination of integrals and associated zeta functions.
• These results may lead to new advancements in the field of analytic number theory, highlighting potential future research avenues.