Search Results - "Adelberg, Arnold"

Bounds of divided universal Bernoulli numbers and universal Kummer congruences by Adelberg, Arnold, Hong, Shaofang, Ren, Wenli

“…Let p be a prime. We obtain good bounds for the p-adic sizes of the coefficients of the divided universal Bernoulli number \tfrac{\hat{B}_n}{n} when n is…”
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The 2-Adic Analysis of Stirling Numbers of the Second Kind via Higher Order Bernoulli Numbers and polynomials by Adelberg, Arnold

“…Several new estimates for the 2-adic valuations of Stirling numbers of the second kind are proved. These estimates, together with criteria for when they are…”
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New results on the p-adic valuation of Stirling numbers by Adelberg, Arnold, Lengyel, Tamas

“…We generalize results on the $p$-adic valuations of $S(n,k)$, the Stirling number of the second kind and $s(n,k)$ the Stirling number of the first kind. We…”
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The $p$-adic Analysis of Stirling Numbers via Higher Order Bernoulli Numbers by Adelberg, Arnold

“…In this paper, we use our previous study of the higher order Bernoulli numbers $B_n^{(l)}$ to investigate the $p$-adic properties of the Stirling numbers of…”
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Universal Kummer congruences mod prime powers by Adelberg, Arnold

“…We have previously proved Kummer congruences mod primes p such that p - 1 | / n for the universal divided Bernoulli numbers B ^ n / n . In this paper we…”
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Arithmetic properties of the Nörlund polynomial Bn( x) by Adelberg, Arnold

“…For any prime p we establish a congruence of Kummer type for the Nörlund polynomial B n ( x) , and determine the highest power of p which divides the…”
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Universal Higher Order Bernoulli Numbers and Kummer and Related Congruences by Adelberg, Arnold

“…We define higher or arbitrary order universal Bernoulli numbers and higher order universal Bernoulli–Hurwitz numbers. We deduce a universal first-order Kummer…”
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A finite difference approach to degenerate Bernoulli and Stirling polynomials by Adelberg, Arnold

“…Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling…”
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Congruences ofp-adic Integer Order Bernoulli Numbers by Adelberg, Arnold

“…In this paper we establish some new congruences ofp-adic integer order Bernoulli numbers. These generalize the Kummer congruences for ordinary Bernoulli…”
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2-Adic Congruences of Nörlund Numbers and of Bernoulli Numbers of the Second Kind by Adelberg, Arnold

“…In this paper, we find simple 2-adic congruences mod 2[n/2]+1for the Nörlund numbersB(n)nand for the Bernoulli numbers of the second kindbn. These congruences…”
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Higher order Bernoulli polynomials andp-adic analysis by Adelberg, Arnold Melvin

“…In this thesis we prove some new congruences for p-adic integer Bernoulli numbers, which can be thought of as generalizing the Kummer congruences for ordinary…”
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E2792 by Patenaude, Robert, Adelberg, Arnold

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E2887 by Adelberg, Arnold, Cameron, Douglas E.

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E2780 by Totten, Jim, Adelberg, Arnold, Erlebach, Lee

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Reviews by Bruen, A., Adelberg, Arnold, Dolney, E. L.

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S9 by Klamkin, M. S., Liu, A., Adelberg, Arnold, Cohen, Jeffrey M.

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Metric Affine Geometry by Adelberg, Arnold

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Elementary Problems: E2884-E2889 by Harris, Lawrence, Sekiguchi, T., Oakley, C. O., Adelberg, Arnold, Mori, T. F., Szekely, G. J., Good, I. J.

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A (Not So) Complex Solution to a 2 + b 2 = c n by Adelberg, Arnold M., Benjamin, Arthur T., Rudel, David I.

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A (Not so) Complex Solution to a2 + b2 = cn by Adelberg, Arnold M., Benjamin, Arthur T., Rudel, David I.

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