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Singular values of some modular functions and

✍ Scribed by Kuk Jin Hong; Ja Kyung Koo

Publisher
Springer US
Year
2008
Tongue
English
Weight
489 KB
Volume
16
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

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In this work we find a uniformizer m of the Drinfeld modular curve X 0 (T) and prove that singular values of m generate ring class fields over an imaginary quadratic field.

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We consider the mean squares of L-functions associated to modular forms with respect to Hecke congruence subgroups, expressing the mean value as an inner product. This avoids the discussion of generalized additive divisor problems. As applications, we obtain asymptotic formulas for both weighted and

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The singular values and singular functions of the convolution operator Ko= fo'K(x-y)'dy, O<-x <-I. are studied under the conditions that K(u) is mildly smooth and K(0) ~ 0. It is shown that these singular values and functions are asymptotic to those of the operator with K(u) -= I. A study of the ke