THE SEVENTIETH BIRTHDAY OF CARL VON KUPFFER.--HIS LIFE AND WORKS

Dedicated to Professor Zhende Wu on His Seventieth Birthday

Suppose that (Φ,Mn) is a smooth (Z2)-action on a closed smooth n-dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set F vanish in positive dimension. This paper shows that if dimMn > 2k dimF and each pdimensional part F p possesses the linear independence property, then (Φ,Mn) bounds equivariantly, and in particular,...

Dedicated to Professor Daisuke Fujiwara on His Seventieth Birthday

Higher order simple-pole type operators, that is, higher order linear ordinary differential operators with a large parameter η whose coefficients have simple poles at the origin, are discussed from the viewpoint of the exact WKB analysis. Making use of the technique of microdifferential operators, we clarify the singularity structure of the Borel transform of their WKB solutions.

Leonhard Euler: His Life, the Man, and His Works

On the occasion of the 300th anniversary (on April 15, 2007) of Euler’s birth, an attempt is made to bring Euler’s genius to the attention of a broad segment of the educated public. The three stations of his life—Basel, St. Petersburg, and Berlin—are sketched and the principal works identified in more or less chronological order. To convey a flavor of his work and its impact on modern science, ...

Dedicated to Mietek Borowiecki on the occasion of his seventieth birthday CHOICE-PERFECT GRAPHS

Given a graphG = (V,E) and a set Lv of admissible colors for each vertex v ∈ V (termed the list at v), a list coloring of G is a (proper) vertex coloring φ : V → ⋃ v∈V Lv such that φ(v) ∈ Lv for all v ∈ V and φ(u) 6= φ(v) for all uv ∈ E. If such a φ exists, G is said to be list colorable. The choice number of G is the smallest natural number k for which G is list colorable whenever each list co...

Oliver Goldsmith. His life and works