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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 58
  3. Science in China Series A: Mathematics : Volume 58, Issue 2, February 2015
  4. Multiplicity one theorems, S-version
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 58, Issue 12, December 2015
Science in China Series A: Mathematics : Volume 58, Issue 11, November 2015
Science in China Series A: Mathematics : Volume 58, Issue 10, October 2015
Science in China Series A: Mathematics : Volume 58, Issue 9, September 2015
Science in China Series A: Mathematics : Volume 58, Issue 8, August 2015
Science in China Series A: Mathematics : Volume 58, Issue 7, July 2015
Science in China Series A: Mathematics : Volume 58, Issue 6, June 2015
Science in China Series A: Mathematics : Volume 58, Issue 5, May 2015
Science in China Series A: Mathematics : Volume 58, Issue 4, April 2015
Science in China Series A: Mathematics : Volume 58, Issue 3, March 2015
Science in China Series A: Mathematics : Volume 58, Issue 2, February 2015
Objective triangle functors
Multiplicity one theorems, S-version
Ground states of a nonlinear Schrödinger system with nonconstant potentials
Integrable discretization of soliton equations via bilinear method and Bäcklund transformation
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
Hardy spaces H $^{ p }$ over non-homogeneous metric measure spaces and their applications
A Marcinkiewicz criterion for L $^{ p }$-multipliers related to Schrödinger operators with constant magnetic fields
Weakly k-hyponormal and polynomially hyponormal commuting operator pairs
A Cheeger-Müller theorem for symmetric bilinear torsions on manifolds with boundary
Gradient estimates and coupling property for semilinear SDEs driven by jump processes
Science in China Series A: Mathematics : Volume 58, Issue 1, January 2015
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Multiplicity one theorems, S-version

Content Provider Springer Nature Link
Author Wang, Song
Copyright Year 2014
Abstract It is well known by the strong multiplicity one that π is uniquely determined by the Satake parameter c(π, v) for almost all v. Also, it suffices for us to test only finitely many v. We proved some S-effective version of multiplicity one theorems. Roughly speaking, if π and π′ are not equivalent, then there is also a bound $$\mathfrak{N}(S)$$ which is some expression in terms of K, d and max(N(π), N(π′)), which are analytic conductor of π and π′, respectively (will be defined soon), such that there is a v ∉ S with π $_{ v }$ ≌ π′$_{ v }$ and $$N\mathfrak{p}_v < \mathfrak{N}$$ . We also proved S-effective multiplicity one for the Chebotarev Density Theorem, and for GL(1).
Starting Page 233
Ending Page 256
Page Count 24
File Format PDF
ISSN 16747283
Journal Science in China Series A: Mathematics
Volume Number 58
Issue Number 2
e-ISSN 18691862
Language English
Publisher Science China Press
Publisher Date 2014-12-07
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword multiplicity one theorem S-version automorphic form L-function Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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