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Ramanujan summation
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1	ON THE CIRCULAR SUMMATION OF THE ELEVENTH POWERS OF RAMANUJAN’S THETA FUNCTION Ken Ono Appearing in the Journal of Number Theory Abstract. Let f (a, b) denote Ramanujan’s theta series. In his “Lost Notebook”, Ram Add to Reading List Source URL: www.mathcs.emory.edu Language: English - Date: 2010-08-24 14:06:42
2	06 Termwise Higher Integral (Inv-Trigonometric, Inv-Hyperbolic) The 2nd or more order integrals of Inverse Trigonometric Functions and Inverse Hyperbolic Functions were all shown in 4.4 and[removed]However, as for these, t Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:41:25 Number theory Integer sequences Mathematical series 2K Inverse trigonometric functions Factorial Pi Ramanujan summation Wallis product Mathematics Mathematical analysis Complex analysis
3	5 Formulas for Riemann Zeta at complex number We can extend "2 Formulas for Riemann Zeta at natural number " to the complex number easily. 5.1 Formulas of coth x family Formula[removed]When Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 09:40:27 Complex analysis Number theory Bernoulli number Topology Riemann zeta function Gamma function Ramanujan summation Mathematical analysis Mathematics Meromorphic functions
4	13 Termwise Super Derivative In this chapter, for the function whose super derivatives are difficult to be expressed with easy formulas, we differentiate the series expansion of these functions non integer times termwise Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-12 02:58:29 Integer sequences Bernoulli number Factorial Hyperbolic function 2K Bernoulli polynomials Ramanujan summation Mathematics Mathematical analysis Number theory
5	08 Termwise Super Integral In this chapter, for the function which super (non-integer order) integral cannot be expressed with elementary functions, we integrate with the series expansion of these function non-integer ti Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:41:29 Integer sequences Mathematical series Inverse trigonometric functions Trigonometry Integral Bernoulli number Pi Factorial Ramanujan summation Mathematics Mathematical analysis Number theory
6	arXiv:0901.3452v1 [math.NT] 22 Jan[removed]Ramanujan Summation and the Add to Reading List Source URL: arxiv.org Language: English - Date: 2009-01-22 05:49:30 Summability methods Srinivasa Ramanujan Meromorphic functions Integer sequences Ramanujan summation Riemann zeta function Bernoulli polynomials Bernoulli number Factorial Mathematics Mathematical analysis Number theory
7	PDF Document Add to Reading List Source URL: algo.inria.fr Language: English - Date: 2003-11-27 11:03:40 Integral transforms Fourier analysis Joseph Fourier Differential equations Ramanujan summation Laplace transform Riemann zeta function Polylogarithm Fourier series Mathematical analysis Mathematics Summability methods

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