Search Results - "Montgomery, Hugh L."

Primes in short intervals by MONTGOMERY, Hugh L, SOUNDARARAJAN, K

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Greedy sums of distinct squares by Montgomery, Hugh L., Ulrike M. A. Vorhauer

“…When a positive integer is expressed as a sum of squares, with each successive summand as large as possible, the summands decrease rapidly in size until the…”
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A Heuristic for the Prime Number Theorem by Montgomery, Hugh L., Wagon, Stan

“…An heuristic for the Prime Number Theorem is presented…”
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Biased Trigonometric Polynomials by Montgomery, Hugh L., Vorhauer, Ulrike M. A.

“…The biased trigonometric polynomials are discussed. An examination of how much of the time a trigonometric polynomial can lie below its mean is conducted…”
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Kronecker’s approximation theorem by Gonek, Steven M., Montgomery, Hugh L.

“…We review the various proofs of Kronecker’s theorem concerning inhomogeneous Diophantine approximation, we discuss in detail the quantitative approaches of…”
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Note on a Diophantine inequality in several variables by Barton, Jeffrey T., Montgomery, Hugh L., Vaaler, Jeffrey D.

“…We establish estimates for the number of points that belong to an aligned box in (\mathbb{R}/\mathbb{Z})^N in terms of certain exponential sums. These…”
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On multiplicative composition of integers by Montgomery, Hugh L., Tenenbaum, Gerald

“…We consider an arithmetic function defined independently by John G. Thompson andGreg Simay, with particular attention to its mean value, and its maximal size,…”
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ON MULTIPLICATIVE COMPOSITIONS OF INTEGERS by Montgomery, Hugh L., Tenenbaum, Gérald

“…We consider an arithmetic function defined independently by John G. Thompson and Greg Simay, with particular attention to its mean value, its maximal size, and…”
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Moments of a Thue–Morse generating function by Mauduit, Christian, Montgomery, Hugh L., Rivat, J.

“…We study the moments of even order of the generating function ∏ 0 ≤ r ≤ n ( 1 − e ( 2 r x ) ) of the Thue–Morse sequence and present several conjectures…”
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Zeros of a Family of Approximations of the Riemann Zeta-Function by Gonek, Steven M., Montgomery, Hugh L.

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Sums of Numbers with Many Divisors by Erdős, Paul, Montgomery, Hugh L

“…Letkbe a fixed integer,k⩾2, and suppose thatε>0. We show that every sufficiently large integerncan be expressed in the…”
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Low moments of Dirichlet series by Montgomery, H. L., Tenenbaum, G.

“…We determine the maximum possible size of the q th moment of a Dirichlet series, for 1 ≦ q ≦ 2…”
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Beurling primes with large oscillation by Diamond, Harold G., Montgomery, Hugh L., Vorhauer, Ulrike M.A.

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Small gaps and small spacings between zeta zeros by Bui, Hung M, Goldston, Daniel A, Milinovich, Micah B, Montgomery, Hugh L

“…We show assuming RH that phenomena concerning pairs of zeros established $via$ pair correlations occur with positive density (with at most a slight adjustment…”
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On zeros of $p$-adic forms by Lewis, D. J., Montgomery, Hugh L.

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10870 by Montgomery, Hugh L.

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Greedy sums of distinct squares by Montgomery, Hugh L, Vorhauer, Ulrike M

“…In this mathematical tour de force, the authors prove distribution properties of greedy sums of distinct squares (GSDSs), a subject that would seem to have…”
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The Decimal Expansions of Powers of 9: 10758 by Sapir, Mark, Lossers, O. P., Montgomery, Hugh L.

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Elementary Problems: E2558-E2563 by Torchinsky, A., Montgomery, Hugh L., Madsen, Richard, Simon, J. M., Phillips, N. C. K., Korowine, J. Th

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Positivity of a Certain Power Series: 10870 by Montgomery, Hugh L., Lindsey, John H.

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