Intersexes in Gammarus Chevreuxi and Related Forms

Cytogenetical studies on swine intersexes.

Intersexes of Leptonchus obtusus Thorne.

develop, the intrinsic microflora are either absent or, more likely, present at a very low titer. If they are present at a low level, they will not cause carrots to rot before the nematodes have increased, and they can be eliminated from the nematodes by surface-sterilization. Pratylenchus vulnus was originally obtained from around Juglans hindsii Jepson rootstock in a walnut orchard, and has b...

Entropic Forms and Related Algebras

Starting from a very general trace-form entropy, we introduce a pair of algebraic structures endowed by a generalized sum and a generalized product. These algebras form, respectively, two Abelian fields in the realm of the complex numbers isomorphic each other. We specify our results to several entropic forms related to distributions recurrently observed in social, economical, biological and ph...

Algebraic groups, quadratic forms and related topics

In the early 19th century a young French mathematician E. Galois laid the foundations of abstract algebra by using the symmetries of a polynomial equation to describe the properties of its roots. One of his discoveries was a new type of structure, formed by these symmetries. This structure, now called a “group”, is central to much of modern mathematics. The groups that arise in the context of c...

Automorphic Forms and Related Zeta Functions

For a division quaternion algebra D with the discriminant two, we construct Maass cusp forms on GL2(D) explicitly by some lifting from Maass cusp forms for Γ0(2). This is an analogue of the Saito-Kurokawa lifting. We expect that this lifting leads to a construction of a CAP representation of GL2(D), which is an inner form of GL(4). The aim of the talk is to report recent progress of our study o...