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math.NT2026
A note on the invariants of the -functions
Jerzy Kaczorowski, Alberto Perelli
We explain the exact meaning of a statement we made in a previous paper on invariants, namely that a complex-valued function of the data of the functional equation of an -functi…
math.NT2026
Multiple standard twists of -functions
Jerzy Kaczorowski, Alberto Perelli
The standard twist of -functions plays a fundamental role in the Selberg class theory. It is defined as an absolutely convergent Dirichlet series and admits meromorphic continua…