First example of virtually nilpotent group with non-D-finite Green series, via arithmetical miracle and subword complexity of a multiplicative sequence.
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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Constructs sign-changing bubbling solutions with m bubbles for -Δu=λ u|u|^{p-2}e^{|u|^p} (Dirichlet) in bounded Ω for small λ>0 and 0<p<2, proving energy →4πm from below (p<1) or above (p>1) plus existence for 1-3 sign changes and symmetric multi-sign-change cases.
Proves that the Q-dimension of the span of zeta(k,a/q) - (-1)^k zeta(k,1-a/q) is at least (c-o(1)) log q as q to infinity, for fixed k >= 2.
citing papers explorer
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A virtually nilpotent group whose Green series is not D-finite
First example of virtually nilpotent group with non-D-finite Green series, via arithmetical miracle and subword complexity of a multiplicative sequence.
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Sign-changing bubbling solutions for an exponential nonlinearity in $\mathbb{R}^2$
Constructs sign-changing bubbling solutions with m bubbles for -Δu=λ u|u|^{p-2}e^{|u|^p} (Dirichlet) in bounded Ω for small λ>0 and 0<p<2, proving energy →4πm from below (p<1) or above (p>1) plus existence for 1-3 sign changes and symmetric multi-sign-change cases.
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A partial result towards the Chowla--Milnor conjecture
Proves that the Q-dimension of the span of zeta(k,a/q) - (-1)^k zeta(k,1-a/q) is at least (c-o(1)) log q as q to infinity, for fixed k >= 2.