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Theta Constants, Riemann Surfaces and the Modular Group

2001
The modular group and elliptic function theory Theta functions with characteristics Function theory for the modular group $\Gamma$ and its subgroups Theta constant identities Partition theory: Ramanujan congruences and generalizations Identities related to partition functions Combinatorial and number theoretic applications Bibliography Bibliographical ...
Irwin Kra, Hershel M. Farkas
openaire   +2 more sources

Partition Threshold Collapse and Modular Congruences in Classical Number Theory

This study proposes that local curvature minima in the partition function p(n)p(n)p(n) are associated with modular congruence phenomena. Analyzing second discrete differences up to n=5000n=5000n=5000, we observe that known congruences (mod 5, 7, 11) align with curvature-collapse points.
openaire   +1 more source

Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller   +2 more
exaly  

Illuminating the Applications of Partitions’ Theory:Ramanujan’s Congruences and Morowah Numbers

International Journal of Mathematics Trends and Technology, 2019
Iman C. Chahine, Ahmad Morowah
openaire   +1 more source

Proportion and number of cancer cases and deaths attributable to potentially modifiable risk factors in the United States

Ca-A Cancer Journal for Clinicians, 2018
Farhad Islami   +2 more
exaly  

Cancer statistics in China, 2015

Ca-A Cancer Journal for Clinicians, 2016
Rongshou Zheng   +2 more
exaly  

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