Elementary Proofs of Infinite Families of Congruences for Merca's ...
Mircea Merca [1] in this JOURNAL proved that, for all natural numbers n, the average of the square roots of the first n natural numbers obeys some tight ...
Proof of a conjecture of Mircea Merca 1 Introduction
Recently, Andrews and Merca [3] considered the following partition functions: a(n): the total number of even parts in all partitions of n ...
#A15 INTEGERS 24 (2024) COMBINATORIAL PROOFS OF ...
Abstract. Let Q(n) denote the number of partitions of n into distinct parts. Merca ['Ramanujan-type congruences.
No. 1-10-2234, Merca v. Rhodes, 2011 IL App (1st) 102234
Introduction. A partition of an integer n is a sequence of weakly decreasing positive integers such that they sum up to n.
Oana Estera Merca DOCKET NO.: 16-31798.001-R-1 PARCE
In a recent publication in the Ramanujan Journal, Mircea. Merca extensively studied a function which he denoted as. A(n) and is defined to be the difference ...
Merca entile ( - Historical Newspapers of South Carolina
Merca [2] obtained new upper bounds involving Mm(n, k) for the number of partitions of n into k parts. He also proved that. M2(n, k) = ?2, k. ?n ? 1. 2.
CONGRUENCE IDENTITIES INVOLVING SUMS OF ODD DIVISORS ...
Merca, Linear inequalities concerning the sum of distinct parts congruent to r modulo m in all the partitions on n, Quaest. Math. 46 (12) ...
INFORME DEL COMIT CONSULTIVO DE LA COMISIN NACIONAL ...
Abstract. Merca ['Congruence identities involving sums of odd divisors function', Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci.