Academic literature on the topic 'Saito–Kurokawa lifts'

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Journal articles on the topic "Saito–Kurokawa lifts"

1

Ichino, Atsushi. "Pullbacks of Saito-Kurokawa lifts." Inventiones mathematicae 162, no. 3 (2005): 551–647. http://dx.doi.org/10.1007/s00222-005-0454-z.

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BROWN, JIM, and AMEYA PITALE. "Special values of L-functions for Saito–Kurokawa lifts." Mathematical Proceedings of the Cambridge Philosophical Society 155, no. 2 (2013): 237–55. http://dx.doi.org/10.1017/s0305004113000224.

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AbstractIn this paper we obtain special value results for L-functions associated to classical and paramodular Saito–Kurokawa lifts. In particular, we consider standard L-functions associated to Saito–Kurokawa lifts as well as degree eight L-functions obtained by twisting with an automorphic form defined on GL(2). The results are obtained by combining classical and representation theoretic arguments.
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Mizuno, Yoshinori, and Shoyu Nagaoka. "Some congruences for Saito-Kurokawa lifts." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 80, no. 1 (2009): 9–23. http://dx.doi.org/10.1007/s12188-009-0029-9.

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BROWN, JIM. "SPECIAL VALUES OF L-FUNCTIONS ON GSp4 × GL2 AND THE NON-VANISHING OF SELMER GROUPS." International Journal of Number Theory 06, no. 08 (2010): 1901–26. http://dx.doi.org/10.1142/s1793042110003769.

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In this paper, we show how one can use an inner product formula of Heim giving the inner product of the pullback of an Eisenstein series from Sp10 to Sp 2 × Sp 4 × Sp 4 with a new-form on GL2 and a Saito–Kurokawa lift to produce congruences between Saito–Kurokawa lifts and non-CAP forms. This congruence is in part controlled by the L-function on GSp 4 × GL 2. The congruence is then used to produce nontrivial torsion elements in an appropriate Selmer group, providing evidence for the Bloch–Kato conjecture.
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Das, Soumya, and Jyoti Sengupta. "An Omega-result for Saito-Kurokawa lifts." Proceedings of the American Mathematical Society 142, no. 3 (2013): 761–64. http://dx.doi.org/10.1090/s0002-9939-2013-11797-1.

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Agarwal, Mahesh, and Jim Brown. "Saito–Kurokawa lifts of square-free level." Kyoto Journal of Mathematics 55, no. 3 (2015): 641–62. http://dx.doi.org/10.1215/21562261-3089127.

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Chen, Shih-Yu. "Pullback formulae for nearly holomorphic Saito–Kurokawa lifts." manuscripta mathematica 161, no. 3-4 (2019): 501–61. http://dx.doi.org/10.1007/s00229-019-01111-2.

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Brown, Jim. "An inner product relation on Saito-Kurokawa lifts." Ramanujan Journal 14, no. 1 (2006): 89–105. http://dx.doi.org/10.1007/s11139-006-9005-5.

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Xue, Hang. "Fourier–Jacobi periods of classical Saito–Kurokawa lifts." Ramanujan Journal 45, no. 1 (2016): 111–39. http://dx.doi.org/10.1007/s11139-016-9829-6.

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Brown, Jim. "Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture." Compositio Mathematica 143, no. 02 (2007): 290–322. http://dx.doi.org/10.1112/s0010437x06002466.

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Dissertations / Theses on the topic "Saito–Kurokawa lifts"

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Chen, Shih-Yu, and 陳昰宇. "Pullback formulas for nearly holomorphic Saito-Kurokawa lifts." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/ftgedv.

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博士<br>國立臺灣大學<br>數學研究所<br>106<br>We give explicit pullback formulas for nearly holomorphic Saito-Kurokawa lifts restrict to product of upper half-plane against with product of elliptic modular forms. We generalize the formula of Ichino to modular forms of higher level and free the restriction on weights. The explicit formulas provide non-trivial examples for the refined Gross-Prasad conjecture for (SO(5), SO(4)) in the non-tempered cases. As an application, we obtain new cases for Deligne’s conjecture for central critical values of certain automorphic L-functions for GL(3) × GL(2).
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2

Pramath, A. V. "Fourier coeffcients of modular forms and mass of pullbacks of Saito–Kurokawa lifts." Thesis, 2019. https://etd.iisc.ac.in/handle/2005/5101.

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In the first part of the talk we would discuss a topic about the Fourier coefficients of modular forms. Namely, we would focus on the question of distinguishing two modular forms by certain ‘arithmetically interesting’ Fourier coefficients. These type of results are known as ‘recognition results’ and have been a useful theme in the theory of modular forms, having lots of applications. As an example we would recall the Sturm’s bound (which applies quite generally to a wide class of modular forms), which says that two modular forms are equal if (in a suitable sense) their ‘first’ few Fouri
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