On a function related to Ramanujan's Tau function by John A. Ewell

Subjects: “…Ramanujan's tau function…”
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Some theorems on the explicit evaluation of Ramanujan's theta-functions by Nayandeep Deka Baruah, P. Bhattacharyya

“…Berndt et al. and Soon-Yi Kang have proved many of Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class invariants. …”
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Ramanujan sums via generalized Möbius functions and applications by Vichian Laohakosol, Pattira Ruengsinsub, Nittiya Pabhapote

“…A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classical Ramanujan sum with the Souriau-Hsu-Möbius function. …”
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Some New Explicit Values of Quotients of Ramanujan’s Theta Functions and Continued Fractions by Nipen Saikia

“…We evaluate some new explicit values of quotients of Ramanujan’s theta functions and use them to find explicit values of Ramanujan’s continued fractions.…”
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Proof of Some Conjectures of Melham Using Ramanujan’s  1ψ1 Formula by Bipul Kumar Sarmah

“…We employ Ramanujan's  1ψ1 formula to prove three conjectures of R. …”
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Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations by Yong Sup Kim, Medhat A. Rakha, Arjun K. Rathie

“…As applications, certain very interesting summations due to Ramanujan have been generalized. The results derived in this paper are simple, interesting, easily established, and may be useful.F…”
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An identity for a class of arithmetical functions of several variables by Pentti Haukkanen

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Probabilities as Values of Modular Forms and Continued Fractions by Riad Masri, Ken Ono

“…Thanks to this connection, we then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan and Ramanujan- Selberg- Gordon-Göllnitz continued fractions. …”
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Fertilizers and Mixed Crop Cultivation of Chromium Tolerant and Sensitive Plants under Chromium Toxicity by B. Dheeba, P. Sampathkumar, K. Kannan

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On the Ritt order of a certain class of functions by R. Parvatham, J. Thangamani

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Bacteria-Inspired Synthesis of Silver-Doped Zinc Oxide Nanocomposites: A Novel Synergistic Approach in Controlling Biofilm and Quorum-Sensing-Regulated Virulence Factors in <i>Pseu... by Abirami Karthikeyan, Manoj Kumar Thirugnanasambantham, Fazlurrahman Khan, Arun Kumar Mani

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Some characterizations of specially multiplicative functions by Pentti Haukkanen

“…For example, the divisor functions and Ramanujan's τ-function are specially multiplicative functions. …”
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A new proof of some identities of Bressoud by Robin Chapman

“…We provide a new proof of the following two identities due to Bressoud: ∑m=0Nqm2[Nm]=∑m=−∞∞(−1)mqm(5m+1)/2 [      2NN+2m], ∑m=0Nqm2+m[Nm]=(1/(1−qN+1))∑m=−∞∞(−1)m×qm(5m+3)/2 [      2N+2N+2m+2], which can be considered as finite versions of the Rogers-Ramanujan identities.…”
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The Ideal Convergence of Strongly of  Γ2 in p-Metric Spaces Defined by Modulus by N. Subramanian, K. Balasubramanian, K. Chandrasekhara Rao

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On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces by B. C. Dhage, A. Jennifer Asha, S. M. Kang

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Congruences modulo $4$ for the number of $3$-regular partitions by Ballantine, Cristina, Merca, Mircea

“…In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$ involving some primes $p$ congruent to $ 11, 13, 17, 19, 23$ modulo $24$.…”
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Reinforcement Number of a Graph with respect to Half-Domination by G. Muhiuddin, N. Sridharan, D. Al-Kadi, S. Amutha, M. E. Elnair

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Oscillation Theorems for Second-Order Half-Linear Advanced Dynamic Equations on Time Scales by Shuhong Tang, Tongxing Li, Ethiraju Thandapani

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A series transformation formula and related polynomials by Khristo N. Boyadzhiev

“…In one particular case, our formula reduces to a series transformation formula which appears in the works of Ramanujan and is related to the exponential (or Bell) polynomials. …”
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Strategic Antecedents and Consequents for the Performance of E-Business Companies by Elnivan Moreira de Souza, Paulo César de Sousa Batista

“…The research is supported theoretically by the Technological, Organizational and Environmental framework (TOE), derived from the Diffusion of Innovation Theory (DIT), for the Strategic Background (IFINEDO, 2011), by the Business Model theory (OSTERWALDER; PIGNEUR; 2010; SOUZA; BATISTA, 2014) and by the business performance literature (RAMANUJAN; VENKATRAMAN, 1987). We tested the proposed model with a sample of 252 observations, using the structural equation modeling. …”
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