We give examples of generalized modular forms with the property that their divisors are supported at the cusps and the exponents in their q-product expansions take infinitely many values.
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Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R ChinaNatl Univ Singapore, Dept Math, Singapore 119076, Singapore
Liu, Kefeng
Zhang, Weiping
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Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNatl Univ Singapore, Dept Math, Singapore 119076, Singapore
机构:
North-Caucasian Institute of Mining and Metallurgy named after K. L. Khetagurov (State Technological University), ul. Nikolaeva 44, VladikavkazNorth-Caucasian Institute of Mining and Metallurgy named after K. L. Khetagurov (State Technological University), ul. Nikolaeva 44, Vladikavkaz
Kalinichenko A.V.
Maliev I.N.
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North-Ossetian State University, ul. Vatutina 44–46, VladikavkazNorth-Caucasian Institute of Mining and Metallurgy named after K. L. Khetagurov (State Technological University), ul. Nikolaeva 44, Vladikavkaz
Maliev I.N.
Pliev M.A.
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Southern Mathematical Institute, Vladikavkaz Scientific Center of the Russian Academy of Sciences, ul. Markusa 22, VladikavkazNorth-Caucasian Institute of Mining and Metallurgy named after K. L. Khetagurov (State Technological University), ul. Nikolaeva 44, Vladikavkaz