In 1992, Strauss, Shallit and Zagier proved that for any positive integer a, 3−1 ∑ k=0 (2k k ) ≡ 0 (mod 3) and furthermore 1 32a 3−1 ∑ k=0 (2k k ) ≡ 1(mod 3). Recently a q-analogue of the first congruence was conjectured by Guo and Zeng. In this paper we prove the conjecture of Guo and Zeng, and also give a q-analogue of the second congruence.

The Drosophila BEAF-32A and BEAF-32B proteins bind to the scs' insulator and to hundreds of other sites on Drosophila chromosomes. These two proteins are encoded by the same gene. We used ends-in homologous recombination to generate the null BEAF(AB-KO) allele and also isolated the BEAF(A-KO) allele that eliminates production of only the BEAF-32A protein. We find that the BEAF proteins together...

The in vitro regression of experimentally induced chromosome puffs was investigated in explanted salivary gland chromosomes of Drosophila hydei . It was observed that the regression of the puffs 2-32A, 2-36A, 2-48C, and 4-81 B is accelerated if substrates for the respiratory metabolism are supplied to the cells . A similar effect can be produced by addition of KCN or oligomycin to medium in whi...

A series of 1,4,6-trisubstituted pyrazolo[3,4-d]pyrimidines 15-19, 30-38 capable of selectively inhibiting CDK2 activity were synthesized by derivatization at C-4, C-6 and N-1 with various amines and lower alkyl groups. For above synthetic compounds, biological evaluation was carried out and structure-activity relationship was examined. In our series, 4-anilino compounds exhibited better CDK2 i...

The cytoplasmic male sterile line system comprising CRMS 32A and its maintainer line CRMS 32B is a popular choice for the development of new hybrids in India as CRMS 32A, having Kalinga 1 cytoplasm (other than WA), is a viable alternative to WA cytoplasm. However, both lines are susceptible to bacterial blight (BB), a major disease on rice. As enhancement of host plant resistance is the most ef...

Insulator elements play a role in gene regulation that is potentially linked to nuclear organization. Boundary element-associated factors (BEAFs) 32A and 32B associate with hundreds of sites on Drosophila polytene chromosomes. We hybridized DNA isolated by chromatin immunoprecipitation to genome tiling microarrays to construct a genome-wide map of BEAF binding locations. A distinct difference i...