AbstractUsing Kummer's criteria we show that if the first case of Fermat's last theorem fails for the prime p, then there exist irregular pairs satisfying certain relations
AbstractUsing the WZ-method we find some of the easiest Ramanujan's formulae and also some new inter...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractIn this paper we show that for any integer n ⩾ 1, primes p1, …, pn, pi ≡ 3 (mod 4), pi > 3, ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractIn [Feng and Kozak, J. Approx. Theory 32 (1981), 327–338], another proof of the boundedness ...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
AbstractLet π = (a1, a2, …, an), ϱ = (b1, b2, …, bn) be two permutations of Zn = {1, 2, …, n}. A ris...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractIn this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We gi...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractUsing the WZ-method we find some of the easiest Ramanujan's formulae and also some new inter...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractIn this paper we show that for any integer n ⩾ 1, primes p1, …, pn, pi ≡ 3 (mod 4), pi > 3, ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractIn [Feng and Kozak, J. Approx. Theory 32 (1981), 327–338], another proof of the boundedness ...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractWe establish several new analogues of Ramanujan's exact partition identities using the theor...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
AbstractLet π = (a1, a2, …, an), ϱ = (b1, b2, …, bn) be two permutations of Zn = {1, 2, …, n}. A ris...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractIn this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We gi...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractUsing the WZ-method we find some of the easiest Ramanujan's formulae and also some new inter...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractIn this paper we show that for any integer n ⩾ 1, primes p1, …, pn, pi ≡ 3 (mod 4), pi > 3, ...
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