SUMS

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Consequences of Invariant Functions for the Riemann Hypothesis
《Advances in Pure Mathematics》2025年第1期36-72,共37页Michael Mark Anthony 
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
关键词：LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes 
Shift, the Law of the Invention of Zero
《Advances in Pure Mathematics》2023年第5期237-249,共13页Emmanuel Cadier Anaxhaoza 
After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first...
关键词：AXIOM Axiom of Linear Algebra {ALA} Any Base Calculation ABC Theory Number’s Origin Number Theory Newton’s Binomial Formula Pascal’s Triangle Base Z Canonical Bases Calculator Revolution Infinite Sums of Inverse of Integer to the Successive Powers Information Completion Theory Cipher Factorizations That Are Numbers Infinite Numbers That Are Infinite Sums 
Estimating Sums of Convergent Series via Rational Polynomials
《Advances in Pure Mathematics》2023年第4期187-197,共11页Serdar Beji 
Sums of convergent series for any desired number of terms, which may be infinite, are estimated very accurately by establishing definite rational polynomials. For infinite number of terms the sum infinite is obtained ...
关键词：Sums of Series Rational Polynomials Extrapolation to Limit Asymptotic Value 
On Kadison’s Similarity Problem for Homomorphisms of the Algebra of Complex Polynomials被引量：1
《Advances in Pure Mathematics》2021年第9期755-770,共16页Joachim Moussounda Mouanda 
We prove that every homomorphism of the algebra Pn into the algebra of operators on a Hilbert space is completely bounded. We show that the contractive homomorphism introduced by Parrott, which is ...
关键词：Inequalities for Sums Fourier Coefficients Operator Theory POLYNOMIALS 
Super Congruences Involving Alternating Harmonic Sums
《Advances in Pure Mathematics》2020年第10期611-622,共12页Zhongyan Shen Tianxin Cai 
Let p be an odd prime, the harmonic congruence such as , and many different variations and generalizations have been studied intensively. In t...
关键词：Bernoulli Numbers Alternating Harmonic Sums CONGRUENCES Modulo Prime Powers 
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