The One-Power Erd\H{o}s Conjecture for Primes $p \equiv 7 \pmod{36}$ 669PBFJX0Z

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
24G4SVZK1H	definition	definition 1	arxiv
Single forms, unconditional	statement	theorem 3	arxiv
Fourth moments	statement	lemma 7	arxiv
Strong separation	statement	corollary 1	arxiv
Integer arguments, unconditional	statement	theorem 6	arxiv
Windowed separation	statement	proposition 2	arxiv
7DWTCX2V3R	definition	definition 2	arxiv
Pairwise coprimality	statement	theorem 2	arxiv
Mirsky	statement	theorem 1	arxiv
Complete failure	definition	definition 3	arxiv
Excluded exponents	statement	lemma 2	arxiv
Primary Failure Lemma	statement	lemma 3	arxiv
Polynomial reformulation	statement	proposition 1	arxiv
The required exponent is unbounded	statement	proposition 3	arxiv
Corrected form	statement	lemma 8	arxiv
One-power conjecture for the class	conjecture	conjecture 2	arxiv
Squarefree equidistribution for several forms	statement	theorem 4	arxiv
Main density theorem	statement	theorem 5	arxiv
Local densities at prime arguments	statement	lemma 5	arxiv
Order of $2$ modulo prime squares	statement	lemma 4	arxiv
Reduction to linear forms	statement	lemma 1	arxiv
Cofiniteness	conjecture	conjecture 3	arxiv
Erd\H{o}s, one-power version	conjecture	conjecture 1	arxiv
Infinitude of complete failures	statement	corollary 2	arxiv
Computational verification	statement	theorem 7	arxiv
Lattice sums	statement	lemma 6	arxiv