September 27, 2025Open Access

An interpolation of Bradley's sum formula

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The generalization of Bradley's sum formula reveals new properties of q-multiple zeta values and their structure.
Key findings demonstrate how the q-multiple zeta function expands traditional understandings in this mathematical field.
This research involves the application of new techniques to develop the framework for q-multiple zeta functions.
Implications suggest that further exploration of these generalized formulas could lead to more profound insights in number theory.

Implication

This paper presents a generalization of Bradley's sum formula for q-multiple zeta values, indicating new relations.

The sum formula for q-multiple zeta values is a well-known relation. In this paper, we present its generalization for the q-multiple zeta function.

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Anju Yokoi (2025) studied this question.

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This paper presents a generalization of Bradley's sum formula for q-multiple zeta values, indicating new relations.

The sum formula for q-multiple zeta values is a well-known relation. In this paper, we present its generalization for the q-multiple zeta function.