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arXiv · 1609.09842

Algebraic functions with Fermat property, eigenvalues of transfer operator and Riemann zeros, and other open problems

Giedrius Alkauskas
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Abstract

In this note we list a number of open problems in the fields of number theory, combinatorics, and representation theory: algebraic functions with Fermat property; power product expansion of the generating function for the partition function; relation between the non-trivial Riemann zeros and eigenvalues of the transfer operator; functional equation related to norm forms; two problems from geometric combinatorics; a problem on the moments of the Minkowski question mark function; a question in representation theory; a problem on interpolating the moments of the Stern's diatomic sequence; an arithmetic properties of the binary composition function.

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Giedrius Alkauskas. 2016-09-30. Algebraic functions with Fermat property, eigenvalues of transfer operator and Riemann zeros, and other open problems. https://arxiv.org/abs/1609.09842

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