Two identities for Lambert series are derived that resolve conjectures by Andrews-Dixit-Schultz-Yee and Amdeberhan-Andrews-Ballantine.
A catalog of interesting and useful lambert series identities
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4representative citing papers
The authors prove an identity generalizing the Amdeberhan-Andrews-Ballantine conjecture on double Lambert series using coefficients from the generalized divisor function σ_k(n).
The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.
Establishes transformation formulae for double Lambert series with applications to conjectures by Andrews, Dixit, Schultz, Yee and Amdeberhan et al.
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Identities and transformations for Lambert series and double Lambert series
Two identities for Lambert series are derived that resolve conjectures by Andrews-Dixit-Schultz-Yee and Amdeberhan-Andrews-Ballantine.