2,354 research outputs found
EICHLER COHOMOLOGY OF GENERALIZED MODULAR FORMS OF REAL WEIGHTS
In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the isomorphism for large weights by constructing the map from the space of cusp forms to the cohomology group. © 2012 American Mathematical Society.Bol G., 1949, ABH MATH SEM HAMBURG, V16, P1; Eichler M., 1965, ACTA ARITH, V11, P169; HUSSEINI SY, 1971, ILLINOIS J MATH, V15, P565; Knopp M, 2010, INT J NUMBER THEORY, V6, P1083, DOI 10.1142-S179304211000340X; Knopp M, 2003, J NUMBER THEORY, V99, P1, DOI 10.1016-S0022-314X(02)00065-3; Knopp M, 2009, INT J NUMBER THEORY, V5, P845, DOI 10.1142-S1793042109002419; Knopp M, 2009, INT J NUMBER THEORY, V5, P1049, DOI 10.1142-S1793042109002547; KNOPP MI, 1974, B AM MATH SOC, V80, P607, DOI 10.1090-S0002-9904-1974-13520-2; Niebur D., 1968, THESIS MADISON; NIEBUR D, 1974, T AM MATH SOC, V191, P373, DOI 10.2307-1997003; Petersson H., 1950, SB HEIDELBERGER A MN, p[417, 806]; Raji W, 2011, INT J NUMBER THEORY, V7, P1103, DOI 10.1142-S1793042111004514; Raji W, 2009, FUNCT APPROX COMM MA, V41, P105; Raji W, 2009, INT J NUMBER THEORY, V5, P15310
Fourier coefficients of generalized modular forms of negative weight
The Fourier coefficients of classical modular forms of negative weights have been determined for the case for which F(τ) belongs to a subgroup of the full modular group [9]. In this paper, we determine the Fourier coefficients of generalized modular forms of negative weights using the circle method. © World Scientific Publishing Company.DIAMOND F, 2005, FIRST COURSE MODULAR; Eichler M., 1965, ACTA ARITH, V11, P169; Knopp M, 2003, ACTA ARITH, V110, P117, DOI 10.4064-aa110-2-2; Knopp M, 2003, J NUMBER THEORY, V99, P1, DOI 10.1016-S0022-314X(02)00065-3; Lehner J., 1959, MICH MATH J, V6, P173; LEHNER J, 1957, MICH MATH J, V4, P265; Rademacher H, 1938, ANN MATH, V39, P433, DOI 10.2307-1968796; RAJI W, EICHLER COHOMO UNPUB; Zuckerman HS, 1939, T AM MATH SOC, V45, P298, DOI 10.2307-199011956
q-expansions of vector-valued modular forms of negative weight
In this paper, we determine the q-expansions of vector-valued modular forms (Knopp and Mason in Ill. J. Math. 48:1345-1366, 2004; Acta Arith. 110(2): 117-124, 2003) of large negative weight on the full modular group where we allow poles in the upper half plane and at infinity. © 2011 Springer Science+Business Media, LLC.Eichler M., 1965, ACTA ARITH, V11, P169; Gimenez J., 2007, THESIS TEMPLE U; Knopp M, 2004, ILLINOIS J MATH, V48, P1345; Knopp M, 2003, ACTA ARITH, V110, P117, DOI 10.4064-aa110-2-2; Rademacher H, 1938, ANN MATH, V39, P433, DOI 10.2307-1968796; Raji W, 2009, INT J NUMBER THEORY, V5, P153; Zuckerman HS, 1940, AM J MATH, V62, P127, DOI 10.2307-23714430
0812-9869-9940 (WA), Jual Keranda Mayat Raji
<p>0812-9869-9940 (WA), Jual Keranda Mayat Raji@@Jual Keranda Mayat Raji, Jual Keranda Mayat Kartini, Jual Keranda Mayat Panenjoan, Jual Keranda Mayat Tanjungwangi, Jual Keranda Mayat Waluya, Jual Keranda Mayat Cihanyir, Jual Keranda Mayat Cikasungka, Jual Keranda Mayat Ciluluk, Jual Keranda Mayat Hegarmanah@@keranda jenazah 1 set promo @keranda mayat dan pemandian sepaket@keranda awet kokoh anti karat@paket keranda murah@paket keranda jenazah dan pemandian 1 paket@keranda paket@paket pemandian jenazah dan keranda@pemandian jenazah@GRATIS KAIN PENUTUP KERANDA@Menyediakan berbagai kebutuhan kepengurusan jenazah@@Dengan material stainless steel, kami memproduksi KERANDA JENAZAH dan PEMANDIAN JENAZAH yang mana ANTI KARAT, KOKOH, dan JELAS KEAWETANNYA.@@Memudahkan bagi jamaah sekalian dalam kepengurusan jenazah@Dibuat dari STAINLESS STEEL sehingga tahan karat dan aman disimpan dalam ruangan@Desain yang KOKOH mampu menahan berat hingga 300kg @@Spesifikasi Singkat:@-KERANDA@Bahan : Stainless Steel 201@Dimensi : Panjang 200 cm � Lebar 65 cm -Tinggi kurungan 64cm@Beban Maximum 300 kg@@-PEMANDIAN JENAZAH@Bahan : Stainless Steel 201@Dimensi : Panjang 205cm - Lebar 75cm - Tinggi 80cm@Beban MAX : 300KG@@@#JualKerandaMayatRaji, #JualKerandaMayatKartini, #JualKerandaMayatPanenjoan, #JualKerandaMayatTanjungwangi, #JualKerandaMayatWaluya, #JualKerandaMayatCihanyir, #JualKerandaMayatCikasungka, #JualKerandaMayatCiluluk, #JualKerandaMayatHegarmanah</p>
Expression of HCV receptors on Raji cells.
<p>(A). Expression of CD81 on naïve Raji cells, mock lentivirus infected Raji cells and CD81 shRNA lentivirus infected Raji cells were assayed by FACS. The primary antibodies used were anti-CD81 mAb JS81 and mouse isotype IgG1. (B) Expression of SR-BI on Raji cells. The primary antibodies used were mouse anti-SR-BI sera and control mouse sera. (C). Lysates of Raji, Huh7.5 and CHO cells were analyzed for expression of SR-BI, CLDN1 and OCLN by immuno-blotting. The primary antibodies used were mouse anti-human SR-BI, rabbit anti-human CLDN1 and mouse anti-human OCLN.</p
Dielectric properties of Raji cells and RBCs.
<p>Dielectric properties of Raji cells and RBCs.</p
SDC and HS staining of Raji cells.
Flow cytometry analysis HS expression in Raji cells (A) stably expressing EXT1-EXT2 and (B) EXT1 + SDC1–4 stably transduced cells. (C) SDC staining of Raji-EXT1 cells stably transduced with SDC1–4. Cells were selected 48 h post transduction either with blasticidin (SDC vectors) or puromycin (EXT vectors). Marked in grey are either single transduced Raji cells (EXT1) or the WT. (TIF)</p
E2 blocks Raji cells apoptosis induced by anti-Fas antibody.
<p>(A). Raji cells or CD81-silenced Raji cells were placed in 96-well plates coated with or without HCV E2 protein, cell viability was measured by MTS assay at various time courses. Data represent the means ± standard deviations of triplicate determinations. The treatments of the cells were: Raji cells cultured in 96 wells without coating with HCV E2 protein (open triangles), CD81 silenced Raji cells cultured in 96 wells without coating with HCV E2 protein (filled triangles), E2-treated Raji cells (open squares), E2-W529/A-treated Raji cells (filled squares), E2-treated CD81 silenced Raji cells (open diamonds), E2-W529/A-treated CD81 silenced Raji cells (filled diamonds). (B). Raji cells or CD81-silenced Raji cells were cultured in 96-well plates coated with or without HCV E2 protein for 24 h, and then incubated with CH11 at various concentrations for 5 h. Apoptotic cells were measured by Hoechst 33342 staining. Data points represent the means ± standard deviations of triplicate determinations. The treatments of the cells were described above. Student's <i>t</i> test was used to determine the statistical significance. Double asterisks, <i>p</i><0.001 relative to other cell-treatment combinations. Asterisk, <i>p</i><0.05 relative to the CD81 silenced Raji cells without treatment with E2 protein. (C). PHB cells were cultured in HCV E2 protein pre-coated 96-well plates for 24 h, and then incubated with CH11 at concentrations of 100 or 400 ng/ml. Apoptotic cells were measured after 5 h. Double asterisks, <i>p</i>>0.05. Asterisk, <i>p</i><0.001.</p
On generalized modular forms supported on cuspidal and elliptic points
Suppose N∈[13,17,19,21,26,29,31,34,39,41,49,50]. In this paper, we extend previous results of Kohnen-Mason (On the canonical decomposition of generalized modular functions, 2010) to prove that generalized modular forms for Γ 0(N) with rational Fourier expansions whose divisors are supported only at the cusps and at the elliptic points are actually classical modular forms. We discuss possible limitations to this extension and pose questions about possible zeroes for modular forms of prime level. © 2012 Springer Science+Business Media, LLC.Ahlgren S, 2009, P AM MATH SOC, V137, P1205; Birch B. J., 1975, LECT NOTES MATH, V476; BORCHERDS RE, 1992, INVENT MATH, V109, P405, DOI 10.1007-BF01232032; Bosma W, 1997, J SYMB COMPUT, V24, P235, DOI 10.1006-jsco.1996.0125; Buhler J.P., 1978, LECT NOTES MATH, V654; Buzzard K, 2005, COMPOS MATH, V141, P605, DOI 10.1112-S0010437X05001314; Cornelissen G, 1999, MATH ANN, V314, P175, DOI 10.1007-s002080050291; Garthwaite S, 2010, P AM MATH SOC, V138, P467; Getz J, 2004, P AM MATH SOC, V132, P2221, DOI 10.1090-S0002-9939-04-07478-7; Hahn H, 2007, P AM MATH SOC, V135, P2391, DOI 10.1090-S0002-9939-07-08763-1; Kilford L. J. P., 2010, ARXIV11106801; Knopp M, 2003, J NUMBER THEORY, V99, P1, DOI 10.1016-S0022-314X(02)00065-3; Kohel D. R., 2002, ATKIN LEHNER DECOMPO; Kohnen W., 2010, ARXIV10032407V1; Kohnen W, 2008, NAGOYA MATH J, V192, P119; Lehner J, 1966, SHORT COURSE AUTOMOR; Ligozat G., 1975, B SOC MATH FRANCE ME, V43; McMurdy K., 2001, THESIS U C BERKELEY; Miezaki T, 2007, J MATH SOC JPN, V59, P693, DOI 10.2969-jmsj-05930693; OGG AP, 1974, B SOC MATH FR, V102, P449; PETERSSO.H, 1971, INVENT MATH, V12, P1, DOI 10.1007-BF01389824; Raji W, 2007, ACTA ARITH, V129, P41, DOI 10.4064-aa129-1-3; Rankin F. K. C., 1970, B LOND MATH SOC, V2, P169, DOI 10.1112-blms-2.2.169; Serre J.-P., 1973, GRADUATE TEXTS MATH, V7; Shigezumi J, 2007, KYUSHU J MATH, V61, P527, DOI 10.2206-kyushujm.61.527; SHIMURA G., 1994, PUBLICATIONS MATH SO, V11; Stein W.A., 2009, SAGE MATH SOFTWARE V0
THE COVID PANDEMIC: RESPONSE OF THE RAJI REVITALIZATION PROGRAMMES
Raji is a little known tribal community that resides in twelve geographically scattered hamlets in the state of Uttarakhand, India. According to 2011 Census, their total population is 732. Their language belongs to Tibeto-Burman family. Since, last twenty years or so the author has been working with this group and trying to document, preserve and revitalize their language and culture. Language revitalization requires tackling problems on many fronts and its different approaches depend upon the unique local conditions of the speech community. The author is trying to develop a new revitalization model called \u27South Asian Model of Language Revitalization\u27. This paper discusses the Response of the Raji Revitalization Program towards the present pandemic and sheds light upon the effect of the Covid-19 pandemic on the Raji community and the status of their language
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