DOIAbstract
AbstractWe present several supercongruences that may be viewed as p-adic analogues of Ramanujan-type series for 1/π and 1/π2, and prove three of these examples
AbstractWe present several supercongruences that may be viewed as p-adic analogues of Ramanujan-type series for 1/π and 1/π2, and prove three of these examples
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractLet p>3 be a prime and a,b∈Z. In the paper we mainly determine the number Vp(x4+ax2+bx) of i...
Ramanujan in his notebooks, has established several new modular equation which he denoted as P and Q...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractIn this paper, we give an alternative proof of two of Ramanujanʼs modular equations of degre...
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractIn 2001, Jinhee Yi found many explicit values of the famous Rogers–Ramanujan continued fract...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
In this paper, we obtain some new modular equations of degree2. We obtain several general formulas f...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractLet p>3 be a prime and a,b∈Z. In the paper we mainly determine the number Vp(x4+ax2+bx) of i...
Ramanujan in his notebooks, has established several new modular equation which he denoted as P and Q...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractIn this paper, we give an alternative proof of two of Ramanujanʼs modular equations of degre...
AbstractIn this paper we give a new proof of Ramanujanʼs continued fraction involving the Gamma func...
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 ...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractIn 2001, Jinhee Yi found many explicit values of the famous Rogers–Ramanujan continued fract...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
In this paper, we obtain some new modular equations of degree2. We obtain several general formulas f...
AbstractUsing some properties of the general rising shifted factorial and the gamma function we deri...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractWe undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic int...
AbstractLet p>3 be a prime and a,b∈Z. In the paper we mainly determine the number Vp(x4+ax2+bx) of i...
Ramanujan in his notebooks, has established several new modular equation which he denoted as P and Q...
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