Math 2.0

Resources / preprint

Formalization of Langlands's Second Main Lemma for Local Epsilon Factors 7NS75J7HAM

URIm2://res/7NS75J7HAM
Kindpreprint
CreatorsFukuhiro Ueda
Date2026-09-20
MSC00-XX
Subjectsarxiv math.GM
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-09-20
IdsarXiv 2609.30301

Items in this resource

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

ItemKindWhereSource
188G0Q0R8Qstatementlemma 8.1arxiv
Cancellation from a common pullbackstatementlemma 8.5arxiv
2C184FKYPXstatementcorollary 7.20arxiv
2ES5QERNMAstatementproposition 7.19arxiv
Quadratic normalizationstatementlemma 4.5arxiv
Compatible characters of conductor $T$statementproposition 9.2arxiv
Descent of invariant charactersstatementlemma 3.2arxiv
The common power relationstatementproposition 3.5arxiv
3VRDDF2YFRstatementproposition 7.11arxiv
Quadratic trace--norm identitystatementlemma 9.1arxiv
Trace--norm identity for additive charactersstatementlemma 7.3arxiv
Stable comparison in the tame casestatementproposition 6.6arxiv
5VNK17RTNYstatementproposition 9.8arxiv
Change of stationary coefficientstatementlemma 7.4arxiv
Conjugate twistsstatementlemma 3.3arxiv
Rational residue identitystatementcorollary 9.12arxiv
6SPVBYF3F0statementproposition 9.21arxiv
Conductor lower boundsstatementlemma 7.14arxiv
Comparison with even conductorsstatementproposition 9.19arxiv
Cancellation of additive factorsstatementlemma 7.10arxiv
Inertia in a prime-square extensionstatementlemma 6.1arxiv
Artin--Schreier coordinate and norm estimatesstatementlemma 7.12arxiv
A common base-field twiststatementlemma 9.3arxiv
Model characters at minimal conductorsstatementproposition 9.33arxiv
Reduction to conductor onestatementlemma 6.4arxiv
Primitive compatible familiesdefinitiondefinition 1.1arxiv
Stable twisting with a common factorstatementproposition 9.20arxiv
Simultaneous norm-character coefficientsstatementlemma 9.14arxiv
Truncated logarithms of productsstatementlemma 5.5arxiv
A common base-field twiststatementproposition 7.6arxiv
Finite interpolationstatementlemma 5.7arxiv
Norm choice by rescalingstatementlemma 9.35arxiv
Comparison in the stable rangestatementproposition 7.7arxiv
Valuations after a quadratic shiftstatementlemma 9.27arxiv
Finite-sum local constantsstatementproposition 2.1arxiv
Unequal breaks: bijective critical mapsstatementproposition 9.39arxiv
Conductors under norm pullbackstatementproposition 5.2arxiv
Comparison by stable twistingstatementproposition 9.7arxiv
Reduction to minimal conductorsstatementlemma 7.17arxiv
Artin--Schreier invariancestatementlemma 9.11arxiv
Norms after a quadratic shiftstatementlemma 8.6arxiv
Common twist and conductor alternativesstatementlemma 9.16arxiv
Nondegeneracy of the polar pairingstatementlemma 4.3arxiv
Norm representatives for the twist coefficientstatementlemma 7.8arxiv
Matching the two critical sumsstatementproposition 9.28arxiv
FBR3755V35statementproposition 9.30arxiv
Model characters at minimal conductorsstatementproposition 9.15arxiv
Best additive approximationstatementlemma 5.4arxiv
Comparison at minimal conductorsstatementproposition 7.16arxiv
Extension and realization of the unit modelsstatementproposition 7.15arxiv
Simultaneous stationary normsstatementlemma 9.17arxiv
First Main Lemmastatementtheorem 2.3arxiv
Local constants through common normsstatementlemma 7.9arxiv
Products of critical functionsstatementlemma 8.4arxiv
Stationary representatives and critical functionsdefinitiondefinition 4.1arxiv
Model characters at minimal conductorsstatementproposition 9.24arxiv
Norm-character groupsstatementlemma 3.1arxiv
Common twist and conductor alternativesstatementlemma 9.34arxiv
Valuations after a quadratic shiftstatementlemma 9.36arxiv
Simultaneous stationary normsstatementlemma 9.37arxiv
Primitive finite-field Gauss-sum identitystatementproposition 6.2arxiv
Translation of critical sumsstatementlemma 4.4arxiv
Logarithmic coordinates on unit quotientsstatementlemma 7.2arxiv
Simultaneous norm-character coefficientsstatementlemma 9.23arxiv
Conductor-one comparisonstatementproposition 6.3arxiv
Lamprecht's formulastatementtheorem 4.2arxiv
Artin--Schreier norm charactersstatementlemma 9.10arxiv
Equal breaks: distinct kernelsstatementproposition 9.40arxiv
Aligned Kummer generatorsstatementlemma 9.22arxiv
Simultaneous norm-character coefficientsstatementlemma 9.32arxiv
Norm choice by rescalingstatementlemma 9.26arxiv
Trace ideals and additive conductorsstatementlemma 5.1arxiv
Stable twistingstatementlemma 4.6arxiv
Conjugated stationary normsstatementproposition 9.6arxiv
Stationary coefficients from a normstatementlemma 9.4arxiv
Norms as stationary coefficientsstatementlemma 8.3arxiv
Common restriction to the base fieldstatementlemma 3.6arxiv
TP7P279ZS2statementlemma 7.1arxiv
Norm approximationstatementlemma 5.3arxiv
Compatibility of the unit modelsstatementlemma 7.13arxiv
Compatible characters of conductor $T$statementproposition 7.5arxiv
Comparison after a higher-conductor twiststatementproposition 7.18arxiv
Second Main Lemmastatementtheorem 1.2arxiv
Minimal-conductor comparisonstatementproposition 9.5arxiv
Norm--logarithm congruencesstatementlemma 5.6arxiv
Biquadratic trace--norm identitystatementlemma 8.2arxiv
Elementary local-constant identitiesstatementlemma 2.2arxiv
Critical-sum comparison at minimal conductorsstatementproposition 9.18arxiv
Transitivity of norm-character productsstatementlemma 3.4arxiv
Simultaneous norm and trace formulasstatementlemma 9.13arxiv
Common twist up to conjugationstatementlemma 9.25arxiv
Common pullback of critical functionsstatementlemma 9.38arxiv
Reciprocal critical sumsstatementproposition 9.29arxiv
Higher conductors: trivial critical sumsstatementproposition 9.41arxiv
Stationary coefficients under norm pullbackstatementlemma 6.5arxiv
Biquadratic break patternsstatementlemma 9.9arxiv
Aligned quadratic generatorsstatementlemma 9.31arxiv

Catalogue records