theta function sentence - theta function sentence in Hindi (1-10)

	1.	Jung developed with his teacher Schottky a general theory of theta functions.
	2.	In the last year of his life, Ramanujan discovered mock theta functions.
	3.	The invariants may be expressed in terms of Jacobi's theta functions.
	4.	One may construct generalizations of the Jacobi theta function.
	5.	His first significant work, published in 1896, was on theta functions.
	6.	This follows from the properties of the theta function:
	7.	Other highlights include his work on abelian functions and theta functions on Riemann surfaces.
	8.	These theta functions transform under the modular group.
	9.	However for many years there was no good definition of a mock theta function.
	10.	This allows one to extend many results about modular forms to mock theta functions.

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