
MODULAR FORMS of WEIGHT DEFINED on PRODUCTS of P Ams
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People also ask
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What is an example of a modular form?
A well-known example of a modular form of higher level is the theta-series f(z) associated to an integer-valued positive-definite quadratic form F(x1…
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What is the weight of a modular form?
The integer k≥0 is called the weight of the modular form f. If a0=0, then f is called a parabolic modular form. There is also [8] a definition of modular forms for all real values of k.
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What is the formula for modular form?
A modular form f : H −→ C of weight k for SL2(Z) is a function on H with the following properties: 1. f : H −→ C is a holomorphic function (meromorphic function in case of a modular function). anqn, q = e2πiz.
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What is the modular form of weight 0?
Any constant function f : τ 7→ c is a modular form of weight 0. More generally, the modular forms of weight 0 are the SL(2,Z)-invariant holomorphic functions. Example 1.14. Mk(SL(2,Z)) = {0} whenever k is odd.
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What is the formula for modular form?
A modular form f : H −→ C of weight k for SL2(Z) is a function on H with the following properties: 1. f : H −→ C is a holomorphic function (meromorphic function in case of a modular function). anqn, q = e2πiz.
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What is the average weight of a modular home?
Weight of the mobile home – ing to Free Mobile Home Info, older mobile homes typically weigh between 35 to 40 lbs. per square foot, while newer manufactured homes weigh anywhere from 45 to 50 lbs. per square foot.
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