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Titlebook: Analytic Number Theory; In Honor of Helmut M Carl Pomerance,Michael Th. Rassias Book 2015 Springer International Publishing Switzerland 201

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have published jointly with Helmut Maier.Contains practical .This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influ
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https://doi.org/10.1007/978-3-031-45275-8 conjectures in question. We shall also generalise the result to cover all positive definite, primitive, binary quadratic forms. In addition we will discuss the case of indefinite forms and prove a result that covers many cases in this instance.
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Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers, only specific limit points known are 0 and .. In this note, we use the method of Erdős to obtain specific intervals within which a positive Lebesgue measure of limit points exist. For example, the intervals . and . both have a positive Lebesgue measure of limit points.
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On the Ratio of Consecutive Gaps Between Primes,r form that not only . can be arbitrarily large compared to .. but this remains true if .. is replaced by the maximum of the . differences . for arbitrary fix .. The ratio can reach .(.) times the size of the classical Erdős–Rankin function with a constant .(.) depending only on ..
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Book 2015 is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and  trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in seque
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Model Optimization in Imbalanced Regression, a function closely related to the classical function .(.), the error term in the mean square formula for .. A new large values result involving ..(.), the general error-term function in the formula for the 2.-th moment of ., is also given.
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Large Values of the Zeta-Function on the Critical Line,, a function closely related to the classical function .(.), the error term in the mean square formula for .. A new large values result involving ..(.), the general error-term function in the formula for the 2.-th moment of ., is also given.
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Invention and Artificial Intelligence only specific limit points known are 0 and .. In this note, we use the method of Erdős to obtain specific intervals within which a positive Lebesgue measure of limit points exist. For example, the intervals . and . both have a positive Lebesgue measure of limit points.
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