As we observed in [3], one can also interpret the sums S(α;β) as special cases of the correlation sums arising in our work on algebraic twists of modular forms, and we also noted that our more general results and techniques had, as special case, this theorem of Birch and Bombieri. Very recently, Y. Zhang [12, Lemma 12] made a crucial use of this estimate in his work on bounded gaps between prim...

Importance of genetic background. Kidney Int 64: 350–355, 2003 11. Brosius FC 3rd, Alpers CE, Bottinger EP, Breyer MD, Coffman TM, Gurley SB, Harris RC, Kakoki M, Kretzler M, Leiter EH, Levi M, McIndoe RA, Sharma K, Smithies O, Susztak K, Takahashi N, Takahashi T: Mouse models of diabetic nephropathy. J Am Soc Nephrol 20: 2503– 2512, 2009 12. Laouari D, Burtin M, Phelep A, Martino C, Pillebout ...

2.1 Weight-two complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Beilinson-Lichtenbaum complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Bloch’s cycle complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Suslin homology and Friedlander-Suslin cohomology . . . . . . . . . . . . . 17 2.5 C...

s=1/2 where E(z, s) is the Eisenstein series for SL2(Z). In general one tries to deduce good estimates for these sums assuming the parameters a, b, h are of considerable size. The additive divisor problem has an extensive history and we refer the reader to [1] for a short introduction. Let us just mention that in the special case a = b = 1 one can derive very sharp results by employing the spec...

Silica supported phosphomolybdic acid, an eco-friendly heterogeneous catalyst, has been found to be highly efficient for Friedlander synthesis of quinolines in excellent yields. A variety of ketones afford the quinolines smoothly. The catalyst can be easily recovered and reused.

Using the dual of Bousfield-Friedlander localization we colocalize resolution model structures on cosimplicial objects over a left proper model category to get truncated resolution model structures. These are useful to study realization and moduli problems in algebraic topology.

This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....

A group completion functor Q is constructed in the category of algebras in simplicial sets over a cofibrant En-operad M. It is shown that Q defines a Bousfield–Friedlander simplicial model category on M-algebras.