Higher order uniformity of the primes and cancellation of the M\"obius function in shorter intervals 7RV6BDZAFK

URI	`m2://res/7RV6BDZAFK`
Kind	preprint
Creators	Kaisa Matomäki, Mayank Pandey, Javier Pliego, Joni Teräväinen, Mengdi Wang
Date	2026-10-07
MSC	11-XX
Subjects	arxiv math.NT
Scope	in

Expressions

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

Item	Kind	Where	Source
18FH5BK2NY	statement	proposition 7.2	arxiv
High frequency trilinear major arcs at the $3/5$ scale	statement	proposition 6.5	arxiv
Polynomial phases	statement	corollary 1.3	arxiv
268Y2VATW2	statement	lemma 3.1	arxiv
Nilsequence discorrelation up to an abelian Type II obstruction	statement	proposition 6.6	arxiv
4ZXVGAVCES	definition	definition 6.3	arxiv
5HT6S31RKK	statement	theorem 1.5	arxiv
Gluing Gowers norms on adjacent intervals	statement	lemma 6.1	arxiv
M\"obius sums in short intervals	statement	theorem 1.4	arxiv
Type I, Type $\mathrm{I}_2$, Type II trichotomy	statement	lemma 6.2	arxiv
Heath-Brown--Iwaniec trilinear estimates	statement	lemma 4.1	arxiv
A0NW25WCXW	statement	lemma 4.2	arxiv
CPQYS6PRF9	statement	theorem 1.6	arxiv
Large values estimates	statement	lemma 2.3	arxiv
KHV0JM1A0C	statement	lemma 5.2	arxiv
Nilsequence discorrelation	statement	theorem 1.2	arxiv
NVJWAQ7R24	statement	theorem 1.7	arxiv
QACGES32BC	definition	definition 2.2	arxiv
QPQB7K2Q5V	definition	definition 2.1	arxiv
Higher order uniformity of $\Lambda$	statement	theorem 1.1	arxiv
Baker--Harman--Pintz trilinear estimates	statement	lemma 5.1	arxiv
Heath-Brown reduction	statement	proposition 6.4	arxiv
Type I, Type II, Type I/II trichotomy	statement	lemma 7.1	arxiv
Linear equations in primes in short intervals of exponent $3/5$	statement	theorem 1.8	arxiv
Sparse mean square	statement	lemma 2.4	arxiv
XAZDGQVQ8S	statement	proposition 3.2	arxiv