Exact averages of central values of triple product L-functions

We obtain exact formulas for central values of triple product L-functions averaged over newforms of weight 2 and prime level. We apply these formulas to non-vanishing problems. This paper uses a period formula for the triple product L-function proved by Gross and Kudla

Structure of the Tetrahymena thermophila telomerase RNA helix II template boundary element

Telomere addition by telomerase requires an internal templating sequence located in the RNA subunit of telomerase. The correct boundary definition of this template sequence is essential for the proper addition of the nucleotide repeats. Incorporation of incorrect telomeric repeats onto the ends of chromosomes has been shown to induce chromosomal instability in ciliate, yeast and human cells. A 5′ template boundary defining element (TBE) has been identified in human, yeast and ciliate telomerase RNAs. Here, we report the solution structure of the TBE element (helix II) from Tetrahymena thermophila telomerase RNA. Our results indicate that helix II and its capping pentaloop form a well-defined structure including unpaired, stacked adenine nucleotides in the stem and an unusual syn adenine nucleotide in the loop. A comparison of the T.thermophila helix II pentaloop with a pentaloop of the same sequence found in the 23S rRNA of the Haloarcula marismortui ribosome suggests possible RNA and/or protein interactions for the helix II loop within the Tetrahymena telomerase holoenzyme

Crystallization and characterization of the thallium form of the Oxytricha nova G-quadruplex

The crystal structure of the Tl(+) form of the G-quadruplex formed from the Oxytricha nova telomere sequence, d(G(4)T(4)G(4)), has been solved to 1.55 Å. This G-quadruplex contains five Tl(+) ions, three of which are interspersed between adjacent G-quartet planes and one in each of the two thymine loops. The structure displays a high degree of similarity to the K(+) crystal structure [Haider et al. (2002), J. Mol. Biol., 320, 189–200], including the number and location of the monovalent cation binding sites. The highly isomorphic nature of the two structures, which contain such a large number of monovalent binding sites (relative to nucleic acid content), verifies the ability of Tl(+) to mimic K(+) in nucleic acids. Information from this report confirms and extends the assignment of (205)Tl resonances from a previous report [Gill et al. (2005), J. Am. Chem. Soc., 127, 16 723–16 732] where (205)Tl NMR was used to study monovalent cation binding to this G-quadruplex. The assignment of these resonances provides evidence for the occurrence of conformational dynamics in the thymine loop region that is in slow exchange on the (205)Tl timescale

YNMG tetraloop formation by a dyskeratosis congenita mutation in human telomerase RNA

Autosomal dominant dyskeratosis congenita (DKC) has been linked to mutations in the RNA component of telomerase, the ribonucleoprotein responsible for telomere maintenance. Recent studies have investigated the role of the GC (107–108) → AG mutation in the conserved P3 helix in the pseudoknot domain of human telomerase RNA. The mutation was found to significantly destabilize the pseudoknot conformation, resulting in a shift in the thermodynamic equilibrium to favor formation of a P2b hairpin intermediate. In the wild-type sequence, the hairpin intermediate was found to form a novel sequence of pyrimidine base pairs in a continuous stem capped by a structured pentaloop. The DKC mutant hairpin was observed to be slightly more stable than the wild-type hairpin, further shifting the pseudoknot-hairpin equilibrium to favor the mutant P2b hairpin. Here we examined the solution structure of the DKC mutant hairpin to identify the reason for this additional stability. We found that the mutant hairpin forms the same stem structure as wild-type and that the additional stabilization observed using optical melting can be explained by the formation of a YNMG-type tetraloop structure, with the last nucleotide of the pentaloop bulged out into the major groove. Our results provide a structural explanation for the increased stability of the mutant hairpin and further our understanding of the effect of this mutation on the structure and stability of the dominant conformation of the pseudoknot domain in this type of DKC

Solution structures of stem–loop RNAs that bind to the two N-terminal RNA-binding domains of nucleolin

Nucleolin, a multi-domain protein involved in ribosome biogenesis, has been shown to bind the consensus sequence (U/G)CCCG(A/G) in the context of a hairpin loop structure (nucleolin recognition element; NRE). Previous studies have shown that the first two RNA-binding domains in nucleolin (RBD12) are responsible for the interaction with the in vitro selected NRE (sNRE). We have previously reported the structures of nucleolin RBD12, sNRE and nucleolin RBD12–sNRE complex. A comparison of free and bound sNRE shows that the NRE loop becomes structured upon binding. From this observation, we hypothesized that the disordered hairpin loop of sNRE facilitates conformational rearrangements when the protein binds. Here, we show that nucleolin RBD12 is also sufficient for sequence- specific binding of two NRE sequences found in pre-rRNA, b1NRE and b2NRE. Structural investigations of the free NREs using NMR spectroscopy show that the b1NRE loop is conformationally heterogeneous, while the b2NRE loop is structured. The b2NRE forms a hairpin capped by a YNMG-like tetraloop. Comparison of the chemical shifts of sNRE and b2NRE in complex with nucleolin RBD12 suggests that the NRE consensus nucleotides adopt a similar conformation. These results show that a disordered NRE consensus sequence is not a prerequisite for nucleolin RBD12 binding