Parnoff, Ellise; Raghuram, A. Ramanujan’s congruence primes. arXiv:2403.03345 Preprint, arXiv:2403.03345 [math.NT] (2024). MSC: 11F33 11F67 BibTeX Cite \textit{E. Parnoff} and \textit{A. Raghuram}, ``Ramanujan's congruence primes'', Preprint, arXiv:2403.03345 [math.NT] (2024) Full Text: arXiv OA License
Deligne, Pierre; Raghuram, A. Motives, Periods, and Functoriality. arXiv:2403.03342 Preprint, arXiv:2403.03342 [math.NT] (2024). MSC: 11F67 11G09 22E55 BibTeX Cite \textit{P. Deligne} and \textit{A. Raghuram}, ``Motives, Periods, and Functoriality'', Preprint, arXiv:2403.03342 [math.NT] (2024) Full Text: arXiv OA License
Raghuram, A. An arithmetic property of intertwining operators for \(p\)-adic groups. (English) Zbl 07658634 Can. J. Math. 75, No. 1, 83-107 (2023). MSC: 22E50 22E55 11F67 11F70 PDFBibTeX XMLCite \textit{A. Raghuram}, Can. J. Math. 75, No. 1, 83--107 (2023; Zbl 07658634) Full Text: DOI arXiv
Raghuram, A. Notes on the arithmetic of Hecke \(L\)-functions. (English) Zbl 1515.11050 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 71, 37 p. (2022). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F66 11F70 11F75 20G05 22E50 22E55 PDFBibTeX XMLCite \textit{A. Raghuram}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 71, 37 p. (2022; Zbl 1515.11050) Full Text: DOI arXiv
Raghuram, A. Special values of \(L\)-functions for \(\mathrm{GL}(n)\) over a CM field. (English) Zbl 1495.11069 Int. Math. Res. Not. 2022, No. 13, 10119-10147 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F67 11F66 11F70 PDFBibTeX XMLCite \textit{A. Raghuram}, Int. Math. Res. Not. 2022, No. 13, 10119--10147 (2022; Zbl 1495.11069) Full Text: DOI
Raghuram, A. Eisenstein Cohomology for GL(N) and the special values of Rankin-Selberg L-functions over a totally imaginary number field. arXiv:2207.03393 Preprint, arXiv:2207.03393 [math.NT] (2022). MSC: 11F67 11F66 11F70 11F75 20G05 22E50 BibTeX Cite \textit{A. Raghuram}, ``Eisenstein Cohomology for GL(N) and the special values of Rankin-Selberg L-functions over a totally imaginary number field'', Preprint, arXiv:2207.03393 [math.NT] (2022) Full Text: arXiv OA License
Dimitrov, Mladen; Januszewski, Fabian; Raghuram, A. \(L\)-functions of \(\mathrm{GL}_{2n}\): \(p\)-adic properties and non-vanishing of twists. (English) Zbl 1469.11133 Compos. Math. 156, No. 12, 2437-2468 (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11S40 11F55 11F70 PDFBibTeX XMLCite \textit{M. Dimitrov} et al., Compos. Math. 156, No. 12, 2437--2468 (2020; Zbl 1469.11133) Full Text: DOI arXiv
Bhagwat, Chandrasheel; Raghuram, A. Eisenstein cohomology for orthogonal groups and the special values of \(L\)-functions for \({\rm GL}_1 \times {\rm O}(2n)\). arXiv:2005.01062 Preprint, arXiv:2005.01062 [math.NT] (2020). MSC: 11F67 11F66 11F70 11F75 22E55 BibTeX Cite \textit{C. Bhagwat} and \textit{A. Raghuram}, ``Eisenstein cohomology for orthogonal groups and the special values of $L$-functions for ${\rm GL}_1 \times {\rm O}(2n)$'', Preprint, arXiv:2005.01062 [math.NT] (2020) Full Text: arXiv OA License
Raghuram, A.; Sachdeva, Gunja Critical values of \(L\)-functions for \(\mathrm {GL}_3 \times \mathrm {GL}_1\) over a totally real field. (English) Zbl 1425.11106 Bruinier, Jan Hendrik (ed.) et al., L-functions and automorphic forms. LAF, Heidelberg, Germany, February 22–26, 2016. Cham: Springer. Contrib. Math. Comput. Sci. 10, 195-230 (2017). MSC: 11F67 11F66 PDFBibTeX XMLCite \textit{A. Raghuram} and \textit{G. Sachdeva}, Contrib. Math. Comput. Sci. 10, 195--230 (2017; Zbl 1425.11106) Full Text: DOI
Balasubramanyam, Baskar; Raghuram, A. Special values of adjoint \(L\)-functions and congruences for automorphic forms on \(\mathrm{GL}(n)\) over a number field. (English) Zbl 1498.11138 Am. J. Math. 139, No. 3, 641-679 (2017). MSC: 11F67 11F66 11F75 PDFBibTeX XMLCite \textit{B. Balasubramanyam} and \textit{A. Raghuram}, Am. J. Math. 139, No. 3, 641--679 (2017; Zbl 1498.11138) Full Text: DOI arXiv
Bhagwat, Chandrasheel; Raghuram, A. Special values of \(L\)-functions for orthogonal groups. (Valeurs spéciales de fonctions \(L\) pour les groupes orthogonaux.) (English. French summary) Zbl 1380.11057 C. R., Math., Acad. Sci. Paris 355, No. 3, 263-267 (2017). Reviewer: Dubravka Ban (Carbondale) MSC: 11F67 11F55 11F70 PDFBibTeX XMLCite \textit{C. Bhagwat} and \textit{A. Raghuram}, C. R., Math., Acad. Sci. Paris 355, No. 3, 263--267 (2017; Zbl 1380.11057) Full Text: DOI arXiv
Banerjee, Debargha; Raghuram, A. \(p\)-adic \(L\)-functions for \(\mathrm{GL}_n\). (English) Zbl 1418.11085 Balasubramanyam, Baskar (ed.) et al., \(p\)-adic aspects of modular forms. Based on lectures at the ICTS program, IISER, Pune, India, June 10–20, 2014. Hackensack, NJ: World Scientific. 237-277 (2016). MSC: 11F66 11S40 22E55 11F67 11F70 PDFBibTeX XMLCite \textit{D. Banerjee} and \textit{A. Raghuram}, in: \(p\)-adic aspects of modular forms. Based on lectures at the ICTS program, IISER, Pune, India, June 10--20, 2014. Hackensack, NJ: World Scientific. 237--277 (2016; Zbl 1418.11085) Full Text: DOI arXiv
Raghuram, A. Critical values of Rankin-Selberg \(L\)-functions for \(\mathrm{GL}_n \times \mathrm{GL}_{n-1}\) and the symmetric cube \(L\)-functions for \(\mathrm{GL}_2\). (English) Zbl 1417.11082 Forum Math. 28, No. 3, 457-489 (2016). MSC: 11F67 11F41 11F70 11F75 22E55 PDFBibTeX XMLCite \textit{A. Raghuram}, Forum Math. 28, No. 3, 457--489 (2016; Zbl 1417.11082) Full Text: DOI arXiv
Grobner, Harald; Raghuram, A. On some arithmetic properties of automorphic forms of \(\mathrm{GL}_{m}\) over a division algebra. (English) Zbl 1309.11044 Int. J. Number Theory 10, No. 4, 963-1013 (2014). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 11F75 22E47 11F67 PDFBibTeX XMLCite \textit{H. Grobner} and \textit{A. Raghuram}, Int. J. Number Theory 10, No. 4, 963--1013 (2014; Zbl 1309.11044) Full Text: DOI arXiv
Grobner, Harald; Raghuram, A. On the arithmetic of Shalika models and the critical values of \(L\)-functions for \(\mathrm{GL}_{2n}\). (English) Zbl 1297.11048 Am. J. Math. 136, No. 3, 675-728 (2014). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F70 11F46 11F66 11F67 22E55 PDFBibTeX XMLCite \textit{H. Grobner} and \textit{A. Raghuram}, Am. J. Math. 136, No. 3, 675--728 (2014; Zbl 1297.11048) Full Text: DOI arXiv Link
Harder, Günter; Raghuram, A. Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions. arXiv:1405.6513 Preprint, arXiv:1405.6513 [math.NT] (2014). MSC: 11F75 11F66 11F67 11F70 22E55 BibTeX Cite \textit{G. Harder} and \textit{A. Raghuram}, ``Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions'', Preprint, arXiv:1405.6513 [math.NT] (2014) Full Text: arXiv OA License
Raghuram, A. Comparison results for certain periods of cusp forms on \(\operatorname{GL}_{2n}\) over a totally real number field. (English) Zbl 1353.11078 Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 323-334 (2013). MSC: 11F67 11F41 11F70 11F75 22E55 PDFBibTeX XMLCite \textit{A. Raghuram}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 323--334 (2013; Zbl 1353.11078) Full Text: arXiv
Gan, Wee Teck; Raghuram, A. Arithmeticity for periods of automorphic forms. (English) Zbl 1304.11035 Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 187-229 (2013). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F66 11F70 11F75 22E55 PDFBibTeX XMLCite \textit{W. T. Gan} and \textit{A. Raghuram}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 187--229 (2013; Zbl 1304.11035) Full Text: arXiv
Bhagwat, Chandrasheel; Raghuram, A. Ratios of periods for tensor product motives. (English) Zbl 1287.11069 Math. Res. Lett. 20, No. 4, 615-628 (2013). MSC: 11F67 11G09 PDFBibTeX XMLCite \textit{C. Bhagwat} and \textit{A. Raghuram}, Math. Res. Lett. 20, No. 4, 615--628 (2013; Zbl 1287.11069) Full Text: DOI arXiv
Raghuram, A.; Tanabe, Naomi Notes on the arithmetic of Hilbert modular forms. (English) Zbl 1272.11069 J. Ramanujan Math. Soc. 26, No. 3, 261-319 (2011). Reviewer: Neven Grbac (Rijeka) MSC: 11F67 11F41 11F70 11F75 22E55 PDFBibTeX XMLCite \textit{A. Raghuram} and \textit{N. Tanabe}, J. Ramanujan Math. Soc. 26, No. 3, 261--319 (2011; Zbl 1272.11069) Full Text: arXiv
Raghuram, A. On the special values of certain Rankin-Selberg \(L\)-functions and applications to odd symmetric power \(L\)-functions of modular forms. (English) Zbl 1221.11128 Int. Math. Res. Not. 2010, No. 2, 334-372 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F67 PDFBibTeX XMLCite \textit{A. Raghuram}, Int. Math. Res. Not. 2010, No. 2, 334--372 (2010; Zbl 1221.11128) Full Text: DOI arXiv
Raghuram, A.; Shahidi, Freydoon On certain period relations for cusp forms on \(\mathrm{GL}_n\). (English) Zbl 1170.11009 Int. Math. Res. Not. 2008, Article ID rnn077, 23 p. (2008). Reviewer: Loren R. Spice (Fort Worth) MSC: 11F67 11F12 11F60 PDFBibTeX XMLCite \textit{A. Raghuram} and \textit{F. Shahidi}, Int. Math. Res. Not. 2008, Article ID rnn077, 23 p. (2008; Zbl 1170.11009) Full Text: DOI arXiv
Raghuram, A.; Shahidi, Freydoon Functoriality and special values of \(L\)-functions. (English) Zbl 1229.11080 Gan, Wee Teck (ed.) et al., Eisenstein series and applications. Collected articles related to the workshop, Palo Alto, CA, USA, August 15–19, 2005. Basel: Birkhäuser (ISBN 978-0-8176-4496-3/hbk). Progress in Mathematics 258, 271-293 (2008). MSC: 11F67 11F75 PDFBibTeX XMLCite \textit{A. Raghuram} and \textit{F. Shahidi}, Prog. Math. 258, 271--293 (2008; Zbl 1229.11080) Full Text: arXiv
Raghuram, A. Nonvanishing of certain Rankin-Selberg \(L\)-functions. (English) Zbl 1125.11325 C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 2, 67-71 (2002). MSC: 11F66 11F67 11F70 22E55 PDFBibTeX XMLCite \textit{A. Raghuram}, C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 2, 67--71 (2002; Zbl 1125.11325)