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A SHORT PROOF OF THE CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES
HURWITZ THEORY THE MODULI OF CURVES
2015/7/14
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The
approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
A SHORT PROOF OF THE CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES
HURWITZ THEORY THE MODULI OF CURVES
2015/7/14
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The
approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
Proof of a Conjecture of Hirschhorn and Sellers on Overpartitions
overpartition congruence theta function dissection formula (p k)-parametrization
2014/6/3
Let (n) denote the number of overpartitions of n. It was conjectured by Hirschhorn and Sellers that (40n + 35) ≡ 0 (mod 40) for n ≥ 0. Employing 2-dissection formulas of theta functions due to Ramanuj...
In this paper, the Goldbach Conjecture﹛1, 1﹜ is proved by the complex variable integration. To prove the conjecture, a new function is introduced into Dirichlet series. And then, by using the Perron F...
Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine
Logarithms of iteration matrices proof of a conjecture by Shadrin Zvonkine
2010/8/31
A proof for a conjecture by Shadrin and Zvonkine, relating the en-tries of a matrix arising in the study of Hurwitz numbers to a certain sequence of rational numbers, is given. The main tools used are...
We give a proof for a conjecture suggested by Olivier de La Grandville and Robert M. Solow, which says that the general mean of two positive numbers, as a function of its order, has one and only one i...
A SIMPLE PROOF OF WRITTEN CONJECTURE THROUGH LOCALIZATION
SIMPLE PROOF WRITTEN CONJECTURE THROUGH LOCALIZATION
2005/8/29
We obtain a system of relations between Hodge integrals with one-class. As an application, we show that its first non-trivial relation implies the Witten’s Conjecture/Kontsevich Theorem.
A proof of a conjecture of Marino-Vafa on Hodge integrals
proof of a conjecture Marino-Vafa Hodge integrals
2004/3/16
We prove a remarkable formula for Hodge integrals conjectured by Mari˜no and Vafa [23] based on large N duality, using functorial virtual localization on certain moduli spaces of relative stable ...
On a proof of a conjecture of Marino-Vafa on Hodge integrals
a proof of a conjecture Marino-Vafa Hodge integrals
2004/2/12
We outline a proof of a remarkable formula for Hodge integrals conjectured by Mari˜no and Vafa based on large N duality.