Results 51 to 60 of about 846,626 (359)
On a conjecture of Givental [PDF]
Journal of Mathematical Physics, 2004 These brief notes record our puzzles and findings surrounding Givental’s recent conjecture which expresses higher genus Gromov–Witten invariants in terms of the genus-0 data. We limit our considerations to the case of a complex projective line, whose Gromov–Witten invariants are well-known and easy to compute.
Jun S. Song, Yun S. Song
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On the Mathieu conjecture for $SU(2)$ [PDF]
, 2014 We study the Mathieu Conjecture for $SU(2)$ using the matrix elements of its unitary irreducible representations. We state a conjecture for the particular case $SU(2)$ implying the Mathieu Conjecture for $SU(2)$.Comment: 6 ...
Dings, Teun, Koelink, Erik
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THE CONJECTURE PARALLEL TO THE KRZYŻ CONJECTURE
Demonstratio Mathematica, 2003 For any fixed integer \(k\) and \(t>0\) let us denote \[ F_k(t;z)= {1 \over(1-z)^{1+k}} \exp\left\{-t{1+z \over 1-z}\right\},\;z\in D=\bigl\{z:|z |< 1\bigr\}. \] We say that a holomorphic function \(f\) in \(D\) of the form \(f (z)= e^{-t}+a_1z+ a_2z^2+a_3z^3+ \dots,z\in D\), \(t>0\), belongs to the class \({ \mathcal B}^k_0\) if and only if \(f(z ...
M. Michalska, J. Szynal, A. Ganczar
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THE BINARY GOLDBACH CONJECTURE
JOHME: Journal of Holistic Mathematics Education, 2021 The Goldbach Conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler, proposed a conjecture.
Jan Feliksiak
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On the Mertens Conjecture for Function Fields [PDF]
, 2013 We study an analogue of the Mertens conjecture in the setting of global function fields. Building on the work of Cha, we show that most hyperelliptic curves do not satisfy the Mertens conjecture, but that if we modify the Mertens conjecture to have a ...
Humphries, Peter
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A conjecture in relation to Loewner's conjecture [PDF]
Journal of the Mathematical Society of Japan, 2005 Let \(f\) be a smooth function of two variables \(x\) and \(y\) on a domain \(D\) of \(\mathbb R^2\). For a positive integer \(n\in\mathbb N\), let \(d^nf\) be a symmetric tensor field of type \((0,n)\) defined by \[ d^nf:=\sum_{i=0}^n\binom ni \frac{\partial^nf}{\partial x^{n-i}\partial y^i}dx^{n-i}dy^i \] and \(\tilde\mathcal D_{d^nf}\) be a finitely
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Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three [PDF]
, 2015 We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three.
J. Bourgain, C. Demeter, L. Guth
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Unifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture [PDF]
Symposium on the Theory of Computing, 2015 Consider the following Online Boolean Matrix-Vector Multiplication problem: We are given an n x n matrix M and will receive n column-vectors of size n, denoted by v1, ..., vn, one by one.
Monika Henzinger +3 more
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Notes on the Hodge conjecture for Fermat varieties
Experimental Results, 2021 We review a combinatoric approach to the Hodge conjecture for Fermat varieties and announce new cases where the conjecture is true. We show the Hodge conjecture for Fermat fourfolds $ {X}_m^4 $ of degree m ≤ 100 coprime to 6, and also prove the ...
Genival da Silva, Adrian Clingher
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