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pro vyhledávání: '"Maw, Aung Phone"'
Autor:
Maw, Aung Phone
We demonstrate the general outlines of a method for obtaining analytic expressions for certain types of general arithmetical sums. In particular, analytical expressions for a general arithmetical sum whose terms are summed over either the positive in
Externí odkaz:
http://arxiv.org/abs/2411.17327
Autor:
Maw, Aung Phone
We present outlines of a general method to reach certain kinds of $q$-multiple sum identities. Throughout our exposition, we shall give generalizations to the results given by Dilcher, Prodinger, Fu and Lascoux, Zeng, and Guo and Zhang concerning $q$
Externí odkaz:
http://arxiv.org/abs/2409.16330
Autor:
Maw, Aung Phone
We shall make use of the method of partial fractions to generalize some of Ramanujan's infinite series identities, including Ramanujan's famous formula for $\zeta(2n+1)$, and we shall also give a generalization of the transformation formula for the l
Externí odkaz:
http://arxiv.org/abs/2408.09077
Autor:
Maw, Aung Phone
Using elementary means, we prove an identity giving the infinite product form of a sum of Lambert series originally stated by Venkatachaliengar, then rediscovered by Andrews, Lewis, and Liu. Then we derive two identities expressing certain products o
Externí odkaz:
http://arxiv.org/abs/2408.01763
Autor:
Maw, Aung Phone
We provide an exposition of q-identities with multiple sums related to divisor functions given by Dilcher, Prodinger, Fu and Lascoux, Zeng, Guo and Zhang. Meanwhile, for each of these identities, a more powerful statement will be derived through our
Externí odkaz:
http://arxiv.org/abs/2408.00807
Autor:
Maw, Aung Phone, Kyaw, Aung
We define recursive harmonic numbers as a generalization of harmonic numbers. The table of recursive harmonic numbers, which is like Pascal's triangle, is constructed. A formula for recursive harmonic numbers containing binomial coefficients is also
Externí odkaz:
http://arxiv.org/abs/1711.10716