Results 21 to 30 of about 28,289 (266)

The Decomposition of a Finitely Generated Module over Some Special Ring

JTAM (Jurnal Teori dan Aplikasi Matematika), 2022
This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module.
I Gede Adhitya Wisnu Wardhana
doaj   +1 more source

On the cyclotomic main conjecture for the prime 2 [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2011
Let \(L/\mathbb Q\) be an abelian extension with Galois group \(G\). The author completes the proof of the equivariant Tamagawa number conjecture for the Tate motive \(h^0(\text{Spec}(L))(j)\) with coefficients in \(\mathbb Z[G]\) for any integer \(j\) by providing a refined (i.e., equivariant) cyclotomic main conjecture at the prime \(2\).
openaire   +2 more sources

On the special cases of Carmichael's totient conjecture [PDF]

Notes on Number Theory and Discrete Mathematics
Euler's totient function, φ(n), is the arithmetic function defined as the number of positive integers less than or equal to n that are relatively prime to n. In his 1922 paper [3], Professor R. D.
Anthony G. Shannon, Peter J.-S. Shiue, Tian-Xiao He, Christopher Saito   +3 more
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On the non-abelian Brumer–Stark conjecture and the equivariant Iwasawa main conjecture [PDF]

Mathematische Zeitschrift, 2018
33 pages; to appear in Mathematische Zeitschrift; v3 many minor updates including new title; v2 some cohomological arguments simplified; v1 is a revised version of the second half of arXiv:1408 ...
Johnston, H, Nickel, A
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Bloch-Kato conjecture and main conjecture of Iwasawa theory for Dirichlet characters [PDF]

Duke Mathematical Journal, 2003
This is the completely revised version of math.AG/0101071.
Huber, Annette, Kings, Guido
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Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle" [PDF]

Quantum
Multivariable Quantum Signal Processing (M-QSP) \cite{Rossi2022multivariable} is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously.
Hitomi Mori, Kaoru Mizuta, Keisuke Fujii
doaj   +1 more source

Towards Crossing-Free Hamiltonian Cycles in Simple Drawings of Complete Graphs

Computing in Geometry and Topology
It is a longstanding conjecture that every simple drawing of a complete graph on n ≥ 3 vertices contains a crossing-free Hamiltonian cycle. We strengthen this conjecture to “there exists a crossing-free Hamiltonian path between each pair of vertices” and
Oswin Aichholzer, Joachim Orthaber, Birgit Vogtenhuber   +2 more
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THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS

Forum of Mathematics, Pi, 2016
Let $\unicode[STIX]{x1D706}$ denote the Liouville function. The Chowla conjecture, in the two-point correlation case, asserts that
TERENCE TAO
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An Equivariant Main Conjecture in Iwasawa theory and applications

Journal of Algebraic Geometry, 2015
We construct a new class of Iwasawa modules, which are the number field analogues of the p p -adic realizations of the ...
Greither, Cornelius, Popescu, Cristian D.   +1 more
openaire   +3 more sources

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Forum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard   +1 more
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