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1

Qiu, Yannan. "Periods of Saito–Kurokawa Representations." International Mathematics Research Notices 2014, no. 24 (August 26, 2013): 6698–755. http://dx.doi.org/10.1093/imrn/rnt179.

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2

Brown, Jim, and Dania Zantout. "Mixed-level Saito–Kurokawa liftings." Ramanujan Journal 39, no. 2 (December 31, 2014): 247–57. http://dx.doi.org/10.1007/s11139-014-9651-y.

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3

Ichino, Atsushi. "Pullbacks of Saito-Kurokawa lifts." Inventiones mathematicae 162, no. 3 (July 18, 2005): 551–647. http://dx.doi.org/10.1007/s00222-005-0454-z.

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4

BROWN, JIM, and AMEYA PITALE. "Special values of L-functions for Saito–Kurokawa lifts." Mathematical Proceedings of the Cambridge Philosophical Society 155, no. 2 (May 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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5

Schmidt, Ralf. "The Saito-Kurokawa lifting and functoriality." American Journal of Mathematics 127, no. 1 (2005): 209–40. http://dx.doi.org/10.1353/ajm.2005.0007.

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6

Sorensen, Claus M. "Level-raising for Saito–Kurokawa forms." Compositio Mathematica 145, no. 4 (July 2009): 915–53. http://dx.doi.org/10.1112/s0010437x09004084.

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AbstractThis paper provides congruences between unstable and stable automorphic forms for the symplectic similitude group GSp(4). More precisely, we raise the level of certain CAP representations Π arising from classical modular forms. We first transfer Π to π on a suitable inner form G; this is achieved by θ-lifting. For π, we prove a precise level-raising result that is inspired by the work of Bellaiche and Clozel and which relies on computations of Schmidt. We thus obtain a $\tilde {\pi }$ congruent to π, with a local component that is irreducibly induced from an unramified twist of the Steinberg representation of the Klingen parabolic. To transfer $\tilde {\pi }$ back to GSp(4), we use Arthur’s stable trace formula. Since $\tilde {\pi }$ has a local component of the above type, all endoscopic error terms vanish. Indeed, by results due to Weissauer, we only need to show that such a component does not participate in the θ-correspondence with any GO(4); this is an exercise in using Kudla’s filtration of the Jacquet modules of the Weil representation. We therefore obtain a cuspidal automorphic representation $\tilde {\Pi }$ of GSp(4), congruent to Π, which is neither CAP nor endoscopic. It is crucial for our application that we can arrange for $\tilde {\Pi }$ to have vectors fixed by the non-special maximal compact subgroups at all primes dividing N. Since G is necessarily ramified at some prime r, we have to show a non-special analogue of the fundamental lemma at r. Finally, we give an application of our main result to the Bloch–Kato conjecture, assuming a conjecture of Skinner and Urban on the rank of the monodromy operators at the primes dividing N.
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7

Motwani, Shveta S., and Gary C. Curhan. "Reply to T. Kurokawa et al." Journal of Clinical Oncology 36, no. 23 (August 10, 2018): 2454. http://dx.doi.org/10.1200/jco.2018.79.0832.

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8

Mizuno, Yoshinori, and Shoyu Nagaoka. "Some congruences for Saito-Kurokawa lifts." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 80, no. 1 (October 21, 2009): 9–23. http://dx.doi.org/10.1007/s12188-009-0029-9.

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9

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 (December 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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10

Kashiwadani, Hiroyuki. "A tribute to Syo Kurokawa (1926–2010)." Lichenologist 43, no. 3 (April 5, 2011): 191–92. http://dx.doi.org/10.1017/s0024282911000090.

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11

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

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12

Das, Soumya, and Jyoti Sengupta. "An Omega-result for Saito-Kurokawa lifts." Proceedings of the American Mathematical Society 142, no. 3 (November 19, 2013): 761–64. http://dx.doi.org/10.1090/s0002-9939-2013-11797-1.

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13

Manickam, M., B. Ramakrishnan, and T. C. Vasudevan. "On Saito-Kurokawa descent for congruence subgroups." manuscripta mathematica 81, no. 1 (December 1993): 161–82. http://dx.doi.org/10.1007/bf02567852.

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14

Longo, Matteo, and Marc-Hubert Nicole. "The Saito–Kurokawa lifting and Darmon points." Mathematische Annalen 356, no. 2 (September 6, 2012): 469–86. http://dx.doi.org/10.1007/s00208-012-0846-5.

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15

Li, Wenbin, Hongyu Li, and Jay Mehta. "Around the Lipschitz Summation Formula." Mathematical Problems in Engineering 2020 (April 23, 2020): 1–16. http://dx.doi.org/10.1155/2020/5762823.

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Boundary behavior of important functions has been an object of intensive research since the time of Riemann. Kurokawa, Kurokawa-Koyama, and Chapman studied the boundary behavior of generalized Eisenstein series which falls into this category. The underlying principle is the use of the Lipschitz summation formula. Our purpose is to show that it is a form of the functional equation for the Lipschitz–Lerch transcendent (and in the long run, it is equivalent to that for the Riemann zeta-function) and that this being indeed a boundary function of the Hurwitz–Lerch zeta-function, one can extract essential information. We also elucidate the relation between Ramanujan’s formula and automorphy of Eisenstein series.
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16

RYAN, NATHAN C., and GONZALO TORNARÍA. "A BÖCHERER-TYPE CONJECTURE FOR PARAMODULAR FORMS." International Journal of Number Theory 07, no. 05 (August 2011): 1395–411. http://dx.doi.org/10.1142/s1793042111004629.

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In the 1980s Böcherer formulated a conjecture relating the central value of the quadratic twists of the spinor L-function attached to a Siegel modular form F to the coefficients of F. He proved the conjecture when F is a Saito–Kurokawa lift. Later Kohnen and Kuß gave numerical evidence for the conjecture in the case when F is a rational eigenform that is not a Saito–Kurokawa lift. In this paper we develop a conjecture relating the central value of the quadratic twists of the spinor L-function attached to a paramodular form and the coefficients of the form. We prove the conjecture in the case when the form is a Gritsenko lift and provide numerical evidence when it is not a lift.
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17

Xue, Hang. "Fourier–Jacobi periods of classical Saito–Kurokawa lifts." Ramanujan Journal 45, no. 1 (October 7, 2016): 111–39. http://dx.doi.org/10.1007/s11139-016-9829-6.

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18

Xue, Charlie Q. L., Lesley L. Sun, and Luther Tsai. "The architectural legacies of Kisho Kurokawa in China." Journal of Architecture 16, no. 3 (June 2011): 415–42. http://dx.doi.org/10.1080/13602365.2011.591605.

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19

Farmer, David W., Ameya Pitale, Nathan C. Ryan, and Ralf Schmidt. "Survey Article: Characterizations of the Saito-Kurokawa lifting." Rocky Mountain Journal of Mathematics 43, no. 6 (December 2013): 1747–57. http://dx.doi.org/10.1216/rmj-2013-43-6-1747.

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20

Brown, Jim. "An inner product relation on Saito-Kurokawa lifts." Ramanujan Journal 14, no. 1 (September 21, 2006): 89–105. http://dx.doi.org/10.1007/s11139-006-9005-5.

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21

Matthes, Roland. "The Saito–Kurokawa lift and Siegel’s theta series." International Journal of Number Theory 13, no. 07 (February 2017): 1679–93. http://dx.doi.org/10.1142/s1793042117500968.

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The aim of this paper is to give another short proof of the Saito–Kurokawa lift based on a converse theorem of Imai as was already done by Duke and Imamoglu. In contrast to their proof we avoid spectral analysis but use a real analytic Eisenstein series in a suitable Rankin–Selberg integral involving Siegel’s theta series.
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22

Dummigan, Neil, Bernhard Heim, and Angelo Rendina. "Kurokawa–Mizumoto congruences and degree-8 L-values." manuscripta mathematica 160, no. 1-2 (August 6, 2018): 217–37. http://dx.doi.org/10.1007/s00229-018-1061-9.

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23

Chen, Shih-Yu. "Pullback formulae for nearly holomorphic Saito–Kurokawa lifts." manuscripta mathematica 161, no. 3-4 (February 12, 2019): 501–61. http://dx.doi.org/10.1007/s00229-019-01111-2.

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24

Ghodsi, Mohammad, Mohammad Taghi Hajiaghayi, Masoud Seddighin, Saeed Seddighin, and Hadi Yami. "Fair Allocation of Indivisible Goods: Improvement." Mathematics of Operations Research 46, no. 3 (August 2021): 1038–53. http://dx.doi.org/10.1287/moor.2020.1096.

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We study the problem of fair allocation for indivisible goods. We use the maximin share paradigm introduced by Budish [Budish E (2011) The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes. J. Political Econom. 119(6):1061–1103.] as a measure of fairness. Kurokawa et al. [Kurokawa D, Procaccia AD, Wang J (2018) Fair enough: Guaranteeing approximate maximin shares. J. ACM 65(2):8.] were the first to investigate this fundamental problem in the additive setting. They showed that in delicately constructed examples, not everyone can obtain a utility of at least her maximin value. They mitigated this impossibility result with a beautiful observation: no matter how the utility functions are made, we always can allocate the items to the agents to guarantee each agent’s utility is at least 2/3 of her maximin value. They left open whether this bound can be improved. Our main contribution answers this question in the affirmative. We improve their approximation result to a 3/4 factor guarantee.
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25

NORO, Keiko, and Noboru KURAMOTO. "Studies on restoration by students in Kurokawa, Kawasaki City." Journal of the Japanese Society of Revegetation Technology 39, no. 1 (2013): 210–13. http://dx.doi.org/10.7211/jjsrt.39.210.

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26

Berger, Tobias, and Krzyszto Klosin. "Deformations of Saito-Kurokawa type and the Paramodular Conjecture." American Journal of Mathematics 142, no. 6 (2020): 1821–75. http://dx.doi.org/10.1353/ajm.2020.0052.

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27

McCurry, Justin. "Tatsuo Kurokawa: keeping watch on drug safety in Japan." Lancet 369, no. 9570 (April 2007): 1339. http://dx.doi.org/10.1016/s0140-6736(07)60618-7.

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28

Inoue, Tohru. "International Profiles in Toxicology: Biography of Dr. Yuji Kurokawa." International Journal of Toxicology 20, no. 3 (May 2001): 111. http://dx.doi.org/10.1080/109158101317097683.

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29

Nakano, Taketo, and Taka-aki Ihda. "The Identity of Photobionts From the Lichen Pyrenula Japonica." Lichenologist 28, no. 5 (September 1996): 437–42. http://dx.doi.org/10.1006/lich.1996.0042.

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AbstractNine specimens of Pyrenula japonica Kurokawa were collected from various areas in Japan. Photobionts were isolated from their thalli and studied taxonomically. As a result, only one species of green alga,Trentepohlia lagenifera(Hild.) Wille was identified as the photobiont of Pyrenula japonica. This is the first record of this alga from the lichen genus Pyrenula.
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30

MITSUNAGA, Nodoka, and Naoto TANAKA. "STUDY ON COLLABORATION FOR SIGHTSEEING COMMUNITY DEVELOPMENT IN KUROKAWA-ONSEN." Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management) 75, no. 5 (2019): I_429—I_439. http://dx.doi.org/10.2208/jscejipm.75.i_429.

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31

Skinner, Christopher, and Eric Urban. "Sur les déformations p-adiques des formes de Saito–Kurokawa." Comptes Rendus Mathematique 335, no. 7 (October 2002): 581–86. http://dx.doi.org/10.1016/s1631-073x(02)02540-2.

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32

KURAMOTO, Noboru, Keiko NORO, and Kiyoshi MITANI. "Basic attitude of satoyama management in the Kurokawa Field Center." Journal of the Japanese Society of Revegetation Technology 40, no. 1 (2014): 293–94. http://dx.doi.org/10.7211/jjsrt.40.293.

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33

Kurokawa, N., M. Kamata, K. Matsushima, M. Shinoda, K. Goto, T. Tanaka, Y. Motomura, and H. Suematsu. "Effects of Kurokawa-targeted weight therapy in anorexia nervosa patients." Journal of Psychosomatic Research 55, no. 2 (August 2003): 141. http://dx.doi.org/10.1016/s0022-3999(03)00352-0.

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34

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

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35

Matthes, Roland. "A NOTE ON THE SAITO-KUROKAWA LIFT FOR HERMITIAN FORMS." JP Journal of Algebra, Number Theory and Applications 40, no. 4 (August 31, 2018): 407–27. http://dx.doi.org/10.17654/nt040040407.

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36

Cogdell, J. W., and I. I. Piatetski-Shapiro. "Base change for the Saito-Kurokawa representations of PGSp(4)." Journal of Number Theory 30, no. 3 (November 1988): 298–320. http://dx.doi.org/10.1016/0022-314x(88)90004-2.

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37

Pollack, Aaron. "A quaternionic Saito–Kurokawa lift and cusp forms on G2." Algebra & Number Theory 15, no. 5 (June 30, 2021): 1213–44. http://dx.doi.org/10.2140/ant.2021.15.1213.

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38

WADA, Nahoko. "CONSIDERATION OF CAPSULE AND TEA ROOM DESIGNED BY KISHO KUROKAWA." Journal of Architecture and Planning (Transactions of AIJ) 86, no. 781 (2021): 1167–76. http://dx.doi.org/10.3130/aija.86.1167.

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39

Tyurin, Sergey M., Yuri V. Nazarov, and Alla Aleksandrovna Kornilova. "Формирование художественно-коммуникационной среды города Астаны в контексте реализации градостроительного проекта Кисе Курокавы." Scientific journal “ACADEMIA. ARCHITECTURE AND CONSTRUCTION”, no. 3 (September 27, 2018): 100–106. http://dx.doi.org/10.22337/2077-9038-2018-3-100-106.

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The article is devoted to the interrelation of the master plan for the development of Astana, developed by the Japanese architect Kisho Kurokawa, and the peculiarities of the formation of the artistic and communication environment of the new capital of the Republic of Kazakhstan. The article presents the philosophical ideas of symbiosis and metabolism of Kisho Kurokawa, which are the basis of the development concept of Astana. In the practice of designing the urban environment, they were implemented through the absence of a dominant style, numerous repetitions, the use of techniques of eclecticism, hyper-symbolism and historicism. The specificity of the formation of artistic and communication environment of the left and right Bank of the Yessil river is considered. The attention is drawn to the fact that if the territorial area of theleft Bank is a new administrative and social center, built in a short period of time on freeland, the right Bank is an area of historical development, that has undergone reconstruction and has been included in the overall trend of the city. It is emphasized that the monumental character of Astana architecture is combined with the originality of the organization of urban spaces. The article presents the names of masters - architects, sculptors, designers of foreign countries and Kazakhstan, who actively participated in the design of the artistic and communication environment of the capital. The results of the study are presented: 1) the characteristic features of the formation of the artistic and communication environment of the capital in the context of the implementation of the Kisho Kurokawa project are revealed; 2) the types of objects that make up the basis of the artistic and communication environment of the city are classified; 3) the types of advertising and information carriers, the most suitable for the city with a specific severe sharply continental climate and steppelandscape. It is concluded that the organization of the urban space of Astana as a whole, and the formation of its artistic and communication environment of the XXI century have a pronounced creative vector.
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40

Marcelli, Marcelo Pinto, and Michel Navarro Benatti. "Espécies de Parmotrema (Parmeliaceae, Ascomycetes liquenizados) com rizinas dimórficas do litoral centro-sul do estado de São Paulo." Hoehnea 35, no. 2 (June 2008): 171–83. http://dx.doi.org/10.1590/s2236-89062008000200001.

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O levantamento das espécies pertencentes aos gêneros de grandes parmélias do litoral centro-sul do Estado de São Paulo revelou quatro espécies de Parmotrema com rizinas dimórficas e máculas efiguradas (P. consors (Nyl.) Krog & Swinscow, P. fumarprotocetraricum Marcelli & Hale, P. neotropicum Kurokawa in Hale and P. subcaperatum (Kremp.) Hall), anteriormente referidas ao gênero Canomaculina. São apresentados chave de identificação, descrições detalhadas, comentários e ilustrações baseados no material estudado.
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41

Desogus, Giulia. "Rileggere due progetti di Kisho Kurokawa per la baia di Tokyo." TERRITORIO, no. 74 (September 2015): 33–34. http://dx.doi.org/10.3280/tr2015-074005.

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42

OYAMADA, Shin, Tadashi HASEBE, and Yoshinori HIRAGUCHI. "Future Direction of Conserving Kurokawa-no in a Changing Local Commumty." JOURNAL OF RURAL SOCIETY AND ECONOMICS 33, no. 1 (November 1, 2015): 105–15. http://dx.doi.org/10.11617/jrse.33.1_105.

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43

Heo, Moon-Kyung, and Yoo-Hong Kwon. "A Case Study on Kurokawa Hot Spring Tourism Cooperative in Japan." Journal of Tourism Sciences 44, no. 6 (September 1, 2020): 97–117. http://dx.doi.org/10.17086/jts.2020.44.6.97.117.

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44

Zhao, Yun He, and Shih-sen Chang. "Weak and Strong Convergence Theorems for Strictly Pseudononspreading Mappings and Equilibrium Problem in Hilbert Spaces." Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/169206.

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The purpose of this paper is to propose an iterative algorithm for equilibrium problem and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in Kurokawa and Takahashi (2010). We explored an auxiliary mapping in our theorems and proofs and under suitable conditions, some weak and strong convergence theorems are proved. The results presented in the paper extend and improve some recent results announced by some authors.
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45

Farhady, Maryam, and Jeehyun Nam. "Comparison of In-between Concepts by Aldo Van Eyck and Kisho Kurokawa." Journal of Asian Architecture and Building Engineering 8, no. 1 (May 2009): 17–23. http://dx.doi.org/10.3130/jaabe.8.17.

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46

Anamby, Pramath, and Soumya Das. "Bounds for the Petersson norms of the pullbacks of Saito–Kurokawa lifts." Journal of Number Theory 191 (October 2018): 289–304. http://dx.doi.org/10.1016/j.jnt.2018.03.011.

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47

Ibukiyama, Tomoyoshi. "Saito–Kurokawa liftings of level $N$ and practical construction of Jacobi forms." Kyoto Journal of Mathematics 52, no. 1 (2012): 141–78. http://dx.doi.org/10.1215/21562261-1503791.

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48

Lanphier, Dominic. "A local criterion for the Saito-Kurokawa lifting of cuspforms with characters." Mathematical Research Letters 16, no. 3 (2009): 421–38. http://dx.doi.org/10.4310/mrl.2009.v16.n3.a4.

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49

LI, Ming, and Norioki ISHIMARU. "THE STUDY ON THE HIROSHIMA CITY MUSEUM BASIC PLAN AND KISHO KUROKAWA." AIJ Journal of Technology and Design 27, no. 65 (February 20, 2021): 545–49. http://dx.doi.org/10.3130/aijt.27.545.

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50

YAMASHITA, Daisuke, Tomoko MINAGAWA, and Hiroki ASADA. "FLOOD RISK ANALYSIS BY HISTORICAL LANDUSE CHANGE IN THE KUROKAWA RIVER BASIN, ASO." Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 75, no. 2 (2019): I_61—I_66. http://dx.doi.org/10.2208/jscejhe.75.2_i_61.

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