3 problems

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Conjecture on simultaneous nonvanishing of real and imaginary amplitudes
Let $x$ and $t$ be integers satisfying … Let $a(x,t)$ be the complex amplitude under consideration. Simultaneous nonvanishing conjecture. Then … unless $(x,t)\in\{(-3,11),(5,11)\}$ …
Conjectureopenfeynman-checkers number-theory quantum-walksarXiv posted 2 days ago
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Conjecture on dip positions for the Feynman checker functions
Let $\tilde a_1(x,t,m,\varepsilon)$ , $\tilde a_2(x,t,m,\varepsilon)$ , and $P(x,t,m,\varepsilon)$ be the functions under consideration, and call a value of $x/t$ a dip when it has t…
Conjectureopenasymptotic-analysis feynman-checkers number-theoryarXiv posted 2 days ago
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Conjectured sum identities for the Feynman-checker coefficients
Sum identities conjecture. For each fixed $\rho\in\mathbb{Z}_+$ , the following identities hold:
Conjectureopenfeynman-checkers quantum-probability special-functionsarXiv posted 2 days ago

Conjecture on simultaneous nonvanishing of real and imaginary amplitudes