3 problems

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Hardy–Landau conjecture on the divisor and circle-problem error terms
Hardy–Landau conjecture. Both error terms satisfy
Conjectureopenanalytic-number-theory error-terms summation-formulasarXiv posted 2 days ago
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Warnaar's $tilde A_n$ basic hypergeometric summation conjecture
Warnaar's conjecture. These two expressions are equal. This conjectural identity would extend the hierarchy of transformations between multiple basic hypergeometric series of diffe…
Conjectureopenbasic-hypergeometric-series q-series summation-formulasarXiv posted 2 days ago
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Sharp summation-formula conjecture for the Fourier uncertainty radii
For $s\in\{\pm1\}$ , let $\mathrm{A}_s(d)$ be the infimum of $r(g)$ for the corresponding Fourier eigenfunction uncertainty problem. A summation formula has the form … where…
Conjectureopenfourier-analysis summation-formulas uncertainty-principlesarXiv posted 2 days ago

Hardy–Landau conjecture on the divisor and circle-problem error terms