Harper, Glyn Harman, D. Lapidus, Oleg Lazarev, Andrew H.

Ledoan, Robert J. Miller, Hugh L. Montgomery, Melvyn B. Produktinformationen Format: PDF. Kopierschutz: AdobeDRM. Seitenzahl: Erscheinungsdatum: Small values of the Carmichael function and cryptographic applications , J. Friedlander, C. Pomerance, and I. Shparlinski, Proc. Lam, I.

### Some Talks

Wang, and C. Xing, eds. The expected number of random elements to generate a finite abelian group , C. Pomerance, Periodica Mathematica Hungarica 43 , — Period of the power generator and small values of the Carmichael function , J. Shparlinski, Math. Corrigendum , op. Two contradictory conjectures concerning Carmichael numbers , A.

On the problem of uniqueness for the maximal Stirling number s of the second kind , E. Canfield and C. Pomerance, Integers , 2 , paper A1, 13 pp. The published form of this paper was somewhat corrupted. The version here also corrects a small error in Section 4. Posted February, Luca and C. See also this. Smooth orders and cryptographic applications , C. Pomerance and I.

Ruth—Aaron numbers revisited , C. Primitive roots: a survey , S. Li and C. Tanigawa, ed. On generalizing Artin's conjecture on primitive roots to composite moduli , S. Reine Angew. Timed fair exchange of arbitrary signatures , J. Garay and C. Multiplicative structure of values of the Euler function , W.

Banks, J. Van der Poorten, ed. Heuristics for class numbers of prime-power real cyclotomic fields , J. Buhler, C. Prime numbers and the search for extraterrestrial intelligence , C. Hayes and T. Shubin, eds. The largest prime factor of a Mersenne number , L. Murata and C. Lecture Notes, 36, Amer. On the binary expansions of algebraic numbers , D.

Bailey, J. Borwein, R. Crandall, and C. On the distribution in residue classes of integers with a fixed sum of digits , C. Mauduit, C. Nicolas 9 , 45— Products of ratios of consecutive integers , R. Tenenbaum, Ramanujan J.

## Carl Pomerance

Nicolas 9 , — Martin and C. On the period of the linear congruential and power generators , P. Kurlberg and C. Extended abstract with title "Lower bounds on the period of some pseudorandom number generators". Turku Cent. Finding the group structure of elliptic curves over finite fields , J. Shparlinski, Bull. On the average number of divisors of the Euler function , F. Debrecen , 70 , — Corrigendum , submitted for publication. Sieving by large integers and covering systems of congruences , M. Filaseta, K.

Konyagin, C. Yu, J. Pomerance and N. Ryan, Illinois J.

## Math eBooks from Springer, Oct-Dec | Washington University in St. Louis

Irreducible radical extensions and Euler-function chains , F. Pomerance, pp. Smooth numbers and the quadratic sieve , C. Pomerance, in Algorithmic number theory , J. Buhler and P. Stevenhagen, eds. Press, New York, , pp. Elementary thoughts on discrete logarithms , C. Computational number theory , C. Pomerance, in Princeton Companion to Mathematics , W. Gowers, ed. Press, Princeton, New Jersey, , pp. On the proportion of numbers coprime to a given integer , P. Luca, and C.

De Koninck, A.

Granville, F. Luca, eds. Sets with prescribed arithmetic densities , F. Luca, C. Pomerance, and S. Porubsky, Uniform Distribution Theory , 3 , 67— On pseudosquares and pseudopowers , C. On the range of the iterated Euler function , F. On Giuga numbers , F. Shparlinski, Int. On the distribution of sociable numbers , M. Kobayashi, P. Pollack, and C. Number Theory , — On the Artin—Carmichael primitive root problem on average , S. Pomerance, Mathematika 55 , — On the smallest pseudopower , J. Bourgain, S. Shparlinski, Acta Arith.

A remark on Giuga's conjecture and Lehmer's totient problem , W. Banks, C. Nevans, and C. Pomerance, Albanian J. On the distribution of pseudopowers , S. Shparlinski, Canad. Rank statistics for a family of elliptic curves over a function field , C. Shparlinski, Pure Appl. Primality testing: variations on a theme of Lucas , C. Pomerance, in the Proceedings of the 13th Meeting of the Fibonacci Association, Congressus Numerantium , — Error estimates for the Davenport—Heilbronn theorems , K.

Belabas, M. Bhargava, and C. Pomerance, Duke Math. Ford, F. Pomerance, Bull. On Carmichael numbers in arithmetic progressions , W. Banks and C. Australian Math. On the radical of a perfect number , F. Pomerance, New York Journal of Math. On the asymptotic effectiveness of Weil descent attacks , K. Karabina, A. Menezes, C. Shparlinski, J. Fixed points for discrete logarithms , M. Levin, C. Pomerance, and K. Fibonacci integers , F.

Wagner, J. Primitive sets with large counting functions , G. Debrecen , 77 , — Multiplicative properties of sets of residues , C. Schinzel, Moscow J. Combinatorics and Number Theory , 1 , 52— Edinburgh Math. Prime-perfect numbers , P. Pollack and C. Pomerance, Integers Selfridge memorial issue , 12A , A14, 19 pp. Infinitude of elliptic Carmichael numbers , A. Ekstrom, C. Pomerance, and D. Thakur, J. Product-free sets with high density , P.

Kurlberg, J. Lagarias, and C. The average order of elements in the multiplicative group of a finite field , Y.

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Hu and C. Pomerance, Involve , , — On sets of integers which are both sum-free and product-free , P. Anavi, P. Pomerance, IJNT , 9 , — On a problem of Arnold: the average multiplicative order of a given integer , P. Pomerance, Algebra and Number Theory , 7 , — Sets of monotonicity for Euler's totient function , P.

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Pollack, C. On the distribution of some integers related to perfect and amicable numbers , P. Pomerance, Int. IMRN , 4, — first published online February 14, doi On balanced subgroups of the multiplicative group , C. Ulmer, in Number theory and related fields, in memory of Alf van der Poorten , J. Borwein, I. Shparlinski, and W. Zudlin, eds. Ruzsa, and V. Nesetril, and S.

Butler, eds. This article is identical to except for the update found here. Pomerance and H. Yang, Math. On the local behavior of the order of appearance in the Fibonacci sequence , F. On the range of Carmichael's universal exponent function , F. Square values of Euler's function , P. On integers which are the sum of a power of 2 and a polynomial value , F. Gustavo Moreira, and C. Brazilian Math. NS 45 , — DOI On the counting function of irregular primes , F.

Luca, A. Pizarro-Madariaga, and C. Pomerance, Indag. Finch, F. Pomerance, and P. Divisors of the middle binomial coefficient , C. Monthly , — Copyright , Mathematical Association of America. All rights reserved. Harmonious pairs , M. Kozek, F. Luca, P. The range of the sum-of-proper-divisors function , F. On amicable numbers , C. Pomerance, in Analytic number theory in honor of Helmut Maier's 60th birthday , M. On the parity of the number of small divisors of n , K.

Shallit, in Analytic number theory in honor of Helmut Maier's 60th birthday , M. A note on square totients , T. Freiberg and C. Generating random factored Gaussian integers, easily , N. Lebowitz-Lockard and C. Pomerance, L. Thompson, and A. Weingartner, Acta Arith. Numbers divisible by a large shifted prime and large torsion subgroups of CM elliptic curves , N. McNew, P. Local behavior of the composition of the aliquot and co-totient functions , F.

Pomerance, in Analytic number theory, modular forms and q-hypergeometric series — in honor of Krishna Alladi's 60th birthday , G. Andrews and F. Garvan, eds. Squarefree smooth numbers and Euclidean prime generators , A. Show More. Average Review. Write a Review.

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