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Ananda Rao, K.
- On the Summation of Singular Series Associated with Certain Quadratic Forms (I)
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1 29, Boag Koad, Madras 17, IN
1 29, Boag Koad, Madras 17, IN
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The Journal of the Indian Mathematical Society, Vol 23, No 1-2 (1959), Pagination: 65-96Abstract
The quadratic forms which are mainly dealt with in this paper are
a(x2+y2)+C(z2 + t2), (1)
a(x2 + y2)+2c(z2 + t2), (2)
where x, y, z, t are integer variables and the constant coefficients a, c are unequal odd positive primes.
- On Hermite's Doubly Periodic Functions of the Third Kind
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1 29, Boag Road, Thyagarayanagar, Madras, IN
1 29, Boag Road, Thyagarayanagar, Madras, IN
Source
The Journal of the Indian Mathematical Society, Vol 21, No 1-2 (1957), Pagination: 67-72Abstract
In a paper published recently in this Journal [1] I gave a theorem on the construction of quasi-elliptic functions, that is, functions f(u) of a complex variable u which are meromorphic and satisfy the functional relations f(u + 2ω) = Kf(u), f(u + 2ω') = K'f(u), where K, K', ω, ω' are constants, the ratio of ω' to ω not being real.- On Certain Infinite Series for Doubly Periodic Functions
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1 Thyagarayanagar, Madras 17, IN
1 Thyagarayanagar, Madras 17, IN
Source
The Journal of the Indian Mathematical Society, Vol 19, No 3-4 (1955), Pagination: 95-103Abstract
Hermite, in the course of his investigations in the theory of elliptic functions, was led to introduce certain related functions which he called doubly periodic functions of the second kind.- On the Relation between the Convergence of a Series and its Summability by Cesaro's Means
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The Journal of the Indian Mathematical Society, Vol 15 (1924), Pagination: 264-268Abstract
In the first of a series of important papers communicated to the London Mathematical Society, Hardy proved the following:
THEOREM: If Σan is summable (C1) to sum s, and if
an = O(1/n),
then Σan converges to sum s.