10 problems

Let $r,s\in\mathbb R\setminus\mathbb Q$ be irrational numbers, and let ${}^{\ast}\mathbb Z_r$ and ${}^{\ast}\mathbb Z_s$ denote their associated groups of nonstandard diophantine a…

Let $\mathbb{N}_{\infty}$ denote the infinite integers. Infinite-integer ratio transfer conjecture. There exist ratios of infinite integers of the form … that can be transferred to…

Infinite-interval comparison conjecture. One has

L-function comparison conjecture. Every L-function at infinity is ultimately continuous and monotonic. If $f$ and $g$ are L-functions, then in

Let $f(x)$ be a function such that … and let $k=d4a$ denote an infinite iteration index. Iterated-logarithm infinity conjecture. When $x$ reaches infinity before $k$, one has … The…

Let $*G$ denote the gossamer numbers and let $d53f$ denote the real numbers. Cardinality conjecture. The cardinality of the gossamer numbers is larger than the cardinality of the r…

Let a continuous curve be given, and consider a uniform Riemann sum for it together with a Riemann sum whose limit is infinite. Asymptotic equivalence conjecture. A uniform Riemann…

Let $\text{\usefont{U}{euf}{m}{n}W}_{\infty}$ denote the class of real numbers with the strong ideological generation property. Strong ideological generation conjecture.…

Let $a_1,a_2,a_3,\ldots$ be a sequence of complex numbers, and let $\{b_n\}$ be its partial sum sequence, assumed to be bounded. Choose a hyperreal number system and define…

Let ${}^{\bullet}\wp^{\mathrm{nc}}_{\mu,\theta}$ and ${}^{\bullet}\wp'_{\mu,\theta}$ be the quantum nonstandard Weierstrass function and its derivative, and let…