The Journal of the Indian Mathematical Society

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Connection between Functional Equations and Modular Relations, and Functions of Exponential Type


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1 Princeton University, Princeton. N. J, United States
     

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In a recent paper (Some properties of modular relations, Annals of Math. 53 (1951), 332-363) we have re-studied the connection between functional equations for zeta functions and modular relations for theta functions from a rather broad approach (broad in a certain direction, that is), and it was pertinent to our approach to introduce a certain class of functions termed residual.
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  • Connection between Functional Equations and Modular Relations, and Functions of Exponential Type

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Authors

S. Bochner
Princeton University, Princeton. N. J, United States

Abstract


In a recent paper (Some properties of modular relations, Annals of Math. 53 (1951), 332-363) we have re-studied the connection between functional equations for zeta functions and modular relations for theta functions from a rather broad approach (broad in a certain direction, that is), and it was pertinent to our approach to introduce a certain class of functions termed residual.