A Unifying Principle in the Theory of Modular Relations

A Unifying Principle in the Theory of Modular Relations

The Voronoĭ summation formula is known to be equivalent to the functional equation for the square of the Riemann zeta function in case the function in question is the Mellin tranform of a suitable function. There are some other famous summation formulas which are treated as independent of the modula...

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Bibliographic Details
Main Authors: Guodong Liu, Kalyan Chakraborty, Shigeru Kanemitsu
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
summation formulas
modular relation
Mellin tranform
Riemann zeta function
functional equation
Online Access:https://www.mdpi.com/2227-7390/11/3/535

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