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Srinivasa Ramanujan

THE GREAT MATHEMATICIAN SRINIVASA RAMANUJAN

THE GREAT MATHEMATICIAN SRINIVASA RAMANUJAN

... "Srinivasa Ramanujan, discovered by the Cambridge mathematician Hardy, whose great mathematical findings were beginning to be appreciated from 1915 to ...

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Srinivasa Ramanujan (1887 1920) and the theory of partitions of numbers and statistical mechanics a centennial tribute

Srinivasa Ramanujan (1887 1920) and the theory of partitions of numbers and statistical mechanics a centennial tribute

... SRINIVASA RAMANUJAN 1887-1920AND THE THEORY OF PARTITIONS OF NUMBERS AND STATISTICAL MECHANICS A CENTENNIAL TRIBUTE.. LOKENATH DEBNATH Department of Mathematics University of Central Flo[r] ...

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CONTRIBUTIONS OF MATHEMATICS GENIUS SRINIVASA RAMANUJAN IN MATHEMATICS

CONTRIBUTIONS OF MATHEMATICS GENIUS SRINIVASA RAMANUJAN IN MATHEMATICS

... Srinivasa Ramanujan made substantial contributions to the analytical theory of numbers and worked on ‘elliptic functions’, ‘continued fractions’, and ‘infinite ...genius, Srinivasa Ramanujan, ...

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A Novel Approach for Designing Testable Reversible Sequential Circuits
V Harshavardhan Kumar & M Ramireddy

A Novel Approach for Designing Testable Reversible Sequential Circuits V Harshavardhan Kumar & M Ramireddy

... Page 1288 A Novel Approach for Designing Testable Reversible Sequential Circuits V Harshavardhan Kumar M Tech (VLSI Design) Srinivasa Ramanujan Institute of Technology Rotarypuram Village, B K Samudra[.] ...

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A Novel Design of a Low Voltage High Speed Regenerative Latch Comparator
M Balachandrudu & M Rami Reddy

A Novel Design of a Low Voltage High Speed Regenerative Latch Comparator M Balachandrudu & M Rami Reddy

... Page 1283 A Novel Design of a Low Voltage High Speed Regenerative Latch Comparator M Balachandrudu M Tech Student Srinivasa Ramanujan Institute of Technology, Anantapuramu, Andhra Pradesh, India M Ram[.] ...

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Dr. B.D.Acharya: A brief biography

Dr. B.D.Acharya: A brief biography

... Chennai, Ramanujan Institute for Advanced Study in Mathematics (RIASM), University of Madras, Channai, Srinivasa Ramanujan Center, SASTRA, Kumbakonam, Periyar Science & Technology Museum, ...

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Analytical solutions of incomplete elliptic integrals motivated by the work of Ramanujan

Analytical solutions of incomplete elliptic integrals motivated by the work of Ramanujan

... In this paper, we obtain exact solutions of some unsolved incomplete elliptic integrals of first, second and third kinds, given in Entry 7 of Chapter XVII of second notebook of Srinivasa Ramanujan. ...

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Modular relations and explicit values of Ramanujan Selberg
continued fractions

Modular relations and explicit values of Ramanujan Selberg continued fractions

... Since Ramanujan’s modular equations are central in our evaluations, we now give the definition of a modular equation as given by Ramanujan. Let K , K : = K (k ), L, and L : = L(l ) denote the complete elliptic ...

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Properties of rational arithmetic functions

Properties of rational arithmetic functions

... let convolution. Four aspects of these functions are studied. First, some characterizations of such functions are established; second, possible Busche-Ramanujan-type identities are investigated; third, ...

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18.On modular equations and Lambert series for a continued fraction of  Ramanujan

18.On modular equations and Lambert series for a continued fraction of Ramanujan

... In section 4, we prove a generalized Lambert series and write number of generalized Lambert series for theseG1(q) and H1(q) and for the continued fraction C(q)... Recall the following tw[r] ...

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Ramanujan sums via generalized Möbius functions and applications

Ramanujan sums via generalized Möbius functions and applications

... Following [21], a reciprocity law is a relation involving an arithmetic function of two variables which possesses a symmetry in the variables. In the classical case, Ramanujan sums satisfy the following ...

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The Nested Periodic Subspaces: Extensions of Ramanujan Sums for Period Estimation

The Nested Periodic Subspaces: Extensions of Ramanujan Sums for Period Estimation

... the Ramanujan subspaces defined in [18] (Theorem ...with Ramanujan spaces, that this dimension is precisely the Euler totient function φ(P), where P is the period asso- ciated with the ...the ...

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Modular Identities and Explicit Evaluations of a Continued Fraction of Ramanujan

Modular Identities and Explicit Evaluations of a Continued Fraction of Ramanujan

... The continued fraction Rq has a very beautiful and extensive theory almost all of which was developed by Ramanujan. In particular, his lost notebook 2 contains several results on the Rogers-Ramanujan ...

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A General Method for Constructing Ramanujan-Type Formulas for Powers of 1/π »

A General Method for Constructing Ramanujan-Type Formulas for Powers of 1/π »

... Bagis, “A General Method for Constructing Ramanujan-Type Formulas for Powers of 1 ê p ,” The Mathe- matica Journal , 2013.. Bagis is a mathematician with a PhD in Mathematical Informat[r] ...

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($phi,rho$)-Representation of $Gamma$-So-Rings

($phi,rho$)-Representation of $Gamma$-So-Rings

... Srinivasa Rao, Ideal Theory of Sum-Ordered Partial Semirings , Doctoral thesis, Acharya Nagarjuna University, 2011. 11.[r] ...

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Some Equivalent Conditions on Quaternion -K- Normal Matrices

Some Equivalent Conditions on Quaternion -K- Normal Matrices

... Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam-612 002, Tamil Nadu, India.. ABSTRACT.[r] ...

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Unification of Ramanujan Integrals with Some Infinite Integrals and Multivariable Gimel-Function

Unification of Ramanujan Integrals with Some Infinite Integrals and Multivariable Gimel-Function

... In excellent five parts [3] Berndt has examined 3254 results from the note book pf S.Ramanujan. Also, Agarwal has made a comprehensive study of Ramanujan’s work in his remarkable three volume [1]. These works also ...

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Triangles with prime hypotenuse

Triangles with prime hypotenuse

... The sequence 3 , 5 , 9 , 11 , 15 , 19 , 21 , 25 , 29 , 35 , . . . consists of odd legs in right triangles with integer side lengths and prime hypotenuse. We show that the upper density of this sequence is zero, with ...

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Padé approximant related to asymptotics for the gamma function

Padé approximant related to asymptotics for the gamma function

... 48. Mortici, C: On Ramanujan’s large argument formula for the gamma function. Ramanujan J. 26, 185-192 (2011) 49. Mortici, C: A continued fraction approximation of the gamma function. J. Math. Anal. Appl. 402, ...

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Eta Products, BPS States and K3 Surfaces

Eta Products, BPS States and K3 Surfaces

... It is also well-known, dating at least to Euler, that once removing this factor, the reciprocal is the generating function for the partition of positive integers. This fact was exploited in the computation of oscillator ...

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