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from An Invitation to Modern Number Theory
Give us 5 minutes and we will show you the best book to read today. Expand
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Explicit constructions of infinite families of MSTD sets
We explicitly construct infinite families of MSTD (more sum s than differences) sets, i.e., sets where |A+A| > |A−A|. There are enough of these sets to prove that there exists a constant C such thatExpand
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Investigations of Zeros near the Central Point of Elliptic Curve L-Functions
  • S. Miller
  • Mathematics, Computer Science
  • Exp. Math.
  • 8 August 2005
We explore the effect of zeros at the central point on nearby zeros of elliptic-curve L-functions, especially for one-parameter families of rank r over ℚ, and we conjecture that the r family zeros do not repel in the limit. Expand
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A Symplectic Test of the L-Functions Ratios Conjecture
Recently Conrey, Farmer and Zirnbauer [8, 9] conjectured formulas for the averages over a family of ratios of products of shifted L-functions. Their L-functions Ratios Conjecture predicts both theExpand
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A Derivation of the Pythagorean Won-Loss Formula in Baseball
It has been noted that in many professional sports leagues a good predictor of a team’s end of season won-loss percentage is Bill James’ Pythagorean Formula RSobs γ RSobs +RAobs γ , where RSobsExpand
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Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data
Abstract Benford’s Law gives the expected frequencies of the digits in tabulated data and asserts that the lower digits (1, 2, and 3) are expected to occur more frequently than the higher digits.Expand
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Movements of Florida apple snails in relation to water levels and drying events
Florida apple snails (Pomacea paludosa) apparently have only a limited tolerance to wetland drying events (although little direct evidence exists), but their populations routinely face dry downsExpand
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The n-level densities of low-lying zeros of quadratic Dirichlet L-functions
Previous work by Rubinstein and Gao computed the n-level densities for families of quadratic Dirichlet L-functions for test functions where the sum of the supports of the Fourier transforms is atExpand
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The Pythagorean Won-Loss Formula and Hockey: A Statistical Justification for Using the Classic Baseball Formula as an Evaluative Tool in Hockey
Originally devised for baseball, the Pythagorean Won-Loss formula estimates the percentage of games a team should have won at a particular point in a season. For decades, this formula had noExpand
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Metadata for Digital Collections: A How-To-Do-It Manual
Metadata, Linked Data, and the Semantic Web.Foreword - Diane I. Hillmann 1.1. Expand
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