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Kyushu Journal of Mathematics Vol. 70(2016) No. 1

ON LINEAR RELATIONS AMONG TOTALLY ODD MULTIPLE ZETA VALUES RELATED TO PERIOD POLYNOMIALS

Koji TASAKA

Released: May 19, 2016

p.001-028

We show that there is a relationship between modular forms and totally odd multiple zeta values by relating the matrix E_N,r, whose entries are given by the polynomial representations of the Ihara action, with even period polynomials. We also consider the matrix C_N,rdefined by Brown and give a new upper bound of the rank of C_N,₄. This result gives support to the uneven part of the motivic Broadhurst-Kreimer conjecture of depth 4.

THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURE

Jing MAO

Released: May 19, 2016

p.029-046

In this paper, we show that n-dimensional (n ≥ 2) complete and non-compact smooth metric measure spaces with non-negative weighted Ricci curvature in which some Gagliardo-Nirenberg-type inequality holds are not far from the model metric measure n-space (i.e., the Euclidean metric n-space). Moreover, this fact, together with two generalized volume comparison theorems given in [P. Freitas et al. Calc. Var. Partial Differential Equations 51 (2014), 701-724], surprisingly leads to an interesting rigidity theorem for the given metric measure spaces.

SOME REMARKS ON CONES OF PARTIALLY AMPLE DIVISORS

Robert LATERVEER

Released: May 19, 2016

p.047-061

We study the cones of q-ample divisors qAmp. In favourable cases, we identify a part where the closure qAmp and the nef cone have the same boundary. This is especially interesting for Fano (or almost Fano) varieties.

EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF p-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY

Mitsuhiro NAKAO

Released: May 19, 2016

p.063-082

We prove the existence of global decaying solutions to the initial boundary value problem for the quasilinear wave equation of p-Laplacian type with Kelvin-Voigt dissipation and a derivative nonlinearity. To derive the required estimates of the solutions we employ a ‘loan’ method and a difference inequality for the energy.

ON THE ASYMPTOTIC FORMULA FOR THE FOURIER COEFFICIENTS OF THE j-FUNCTION

M. RAM MURTY , Kannappan SAMPATH

Released: May 19, 2016

p.083-091

We derive the asymptotic formula for the Fourier coefficients of the j-function using an arithmetic formula given by Kaneko based on Zagier's work on the traces of singular moduli. The key ingredient along with the Kaneko-Zagier formula is Laplace's method.

PROJECTIVELY FLAT IMMERSIONS OF HERMITIAN SYMMETRIC SPACES OF COMPACT TYPE

Isami KOGA

Released: May 19, 2016

p.093-103

In this article, we define a projectively flat map of a compact Kähler manifold into the complex Grassmannian manifold, which is a kind of extension of a holomorphic map into the complex projective space. Then we show a rigidity theorem of a holomorphic isometric projectively flat immersion of Hermitian symmetric spaces of compact type. As an application, we classify holomorphic isometric projectively flat immersions of compact Kähler manifolds with parallel second fundamental form.

MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION _n₊₁F_nAND THEIR REDUCIBILITY

Katsuhisa MIMACHI

Released: May 19, 2016

p.105-129

We consider two specific monodromy representations on the space of solutions of the generalized hypergeometric equation _n₊₁E_n, which is satisfied by the generalized hypergeometric function _n₊₁F_n. We express the matrix elements of the monodromy representations in each of the representations, determine a necessary and sufficient condition for each of the representations being irreducible, and give examples of subrepresentations when the representation is reducible.

LOG DEL PEZZO SURFACES WITH LARGE VOLUMES

Kento FUJITA

Released: May 19, 2016

p.131-147

We classify all of the log del Pezzo surfaces S of index a such that the volume (−K_S)²is larger than or equal to 2a.

COHOMOLOGY GROUPS OF SECTIONS OF HOMOGENEOUS LINE BUNDLES OVER A TOROIDAL GROUP

Yukitaka ABE

Released: May 19, 2016

p.149-166

We completely determine cohomology groups of sections of homogeneous line bundles over a toroidal group.

ASYMPTOTIC EXPANSION OF THE EXPECTED VOLUME OF THE WIENER SAUSAGE IN EVEN DIMENSIONS

Yuji HAMANA

Released: May 19, 2016

p.167-196

We consider the Wiener sausage for a Brownian motion up to time t associated with a closed ball in even-dimensional cases. We obtain the asymptotic expansion of the expected volume of the Wiener sausage for large t. The result says that the expansion has many log terms, which do not appear in odd-dimensional cases.

A NOTE ON FINITE REAL MULTIPLE ZETA VALUES

Hideki MURAHARA

Released: May 19, 2016

p.197-204

We prove three theorems on finite real multiple zeta values: the symmetric formula, the sum formula and the height-one duality theorem. These are analogues of their counterparts on finite multiple zeta values.

1 - 11 / 11 Articles.

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Volume And Issue List
Kyushu Journal of Mathematics

Kyushu Journal of Mathematics Vol. 70(2016) No. 1

ON LINEAR RELATIONS AMONG TOTALLY ODD MULTIPLE ZETA VALUES RELATED TO PERIOD POLYNOMIALS

THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURE

SOME REMARKS ON CONES OF PARTIALLY AMPLE DIVISORS

EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF p-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY

ON THE ASYMPTOTIC FORMULA FOR THE FOURIER COEFFICIENTS OF THE j-FUNCTION

PROJECTIVELY FLAT IMMERSIONS OF HERMITIAN SYMMETRIC SPACES OF COMPACT TYPE

MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION _n₊₁F_nAND THEIR REDUCIBILITY

LOG DEL PEZZO SURFACES WITH LARGE VOLUMES

COHOMOLOGY GROUPS OF SECTIONS OF HOMOGENEOUS LINE BUNDLES OVER A TOROIDAL GROUP

ASYMPTOTIC EXPANSION OF THE EXPECTED VOLUME OF THE WIENER SAUSAGE IN EVEN DIMENSIONS

A NOTE ON FINITE REAL MULTIPLE ZETA VALUES

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Volume And Issue List Kyushu Journal of Mathematics

Kyushu Journal of Mathematics Vol. 70(2016) No. 1

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Volume And Issue List
Kyushu Journal of Mathematics