Linear relations and congruences for the coefficients of Drinfeld modular forms |
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Authors: | SoYoung Choi |
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Affiliation: | (1) Department of Mathematics Education, Dongguk University, Kyongju, 780-714, Republic of Korea |
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Abstract: | We find congruences for the t-expansion coefficients of Drinfeld modular forms for . We give generalized analogies of Siegel’s classical observation on SL 2(ℤ) by determining all the linear relations among the initial t-expansion coefficients of Drinfeld modular forms for . As a consequence spaces M k 0 are identified, in which there are congruences for the s-expansion coefficients. This work was supported by KOSEF R01-2006-000-10320-0 and by the Korea Research Foundation Grant (KRF-2005-214-M01-2005-000-10100-0) |
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