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On the distribution of modular square roots of primes.
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- Mathematische Zeitschrift, 2024, v. 306, n. 3, p. 1, doi. 10.1007/s00209-024-03436-5
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- Article
Dynamical irreducibility of polynomials modulo primes.
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- Mathematische Zeitschrift, 2021, v. 298, n. 3/4, p. 1187, doi. 10.1007/s00209-020-02630-5
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- Article
The Sato-Tate distribution in thin parametric families of elliptic curves.
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- Mathematische Zeitschrift, 2018, v. 290, n. 3/4, p. 831, doi. 10.1007/s00209-018-2042-0
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- Article
Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n.
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- Commentarii Mathematici Helvetici, 2006, v. 81, n. 1, p. 1, doi. 10.4171/cmh/40
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- Article
Rational numbers with small denominators in short intervals.
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- Archiv der Mathematik, 2024, v. 122, n. 6, p. 629, doi. 10.1007/s00013-024-01993-z
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- Article
Euclidean minima of algebraic number fields.
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- Archiv der Mathematik, 2024, v. 122, n. 4, p. 405, doi. 10.1007/s00013-023-01943-1
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- Article
Bounds of trilinear sums with Kloosterman fractions.
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- Archiv der Mathematik, 2021, v. 117, n. 3, p. 261, doi. 10.1007/s00013-021-01623-y
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- Article
Character sums with smooth numbers.
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- Archiv der Mathematik, 2018, v. 110, n. 5, p. 467, doi. 10.1007/s00013-018-1168-y
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- Article
On pseudopoints of algebraic curves.
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- Archiv der Mathematik, 2010, v. 95, n. 6, p. 529, doi. 10.1007/s00013-010-0200-7
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- Article
CONNECTED COMPONENTS OF THE GRAPH GENERATED BY POWER MAPS IN PRIME FINITE FIELDS.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2018, v. 18A, p. 1
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- Article
On the exponent of the group of points on elliptic curves in extension fields.
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- IMRN: International Mathematics Research Notices, 2005, v. 2005, n. 23, p. 1391, doi. 10.1155/IMRN.2005.1391
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- Article
On the average value of divisor sums in arithmetic progressions.
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- IMRN: International Mathematics Research Notices, 2005, v. 2005, n. 1, p. 1, doi. 10.1155/IMRN.2005.1
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- Article
PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS.
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- International Journal of Quantum Information, 2007, v. 5, n. 3, p. 417, doi. 10.1142/S0219749907002918
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- Article
Analogues of the Balog-Wooley Decomposition for Subsets of Finite Fields and Character Sums with Convolutions.
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- Annals of Combinatorics, 2019, v. 23, n. 1, p. 183, doi. 10.1007/s00026-019-00420-3
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- Article
Constructing Dominating Sets in Circulant Graphs.
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- Annals of Combinatorics, 2018, v. 22, n. 1, p. 201, doi. 10.1007/s00026-018-0377-1
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- Article
Products of Small Integers in Residue Classes and Additive Properties of Fermat Quotients.
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- IMRN: International Mathematics Research Notices, 2016, v. 2016, n. 5, p. 1424, doi. 10.1093/imrn/rnv182
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- Article
Distribution of Elements of Cosets of Small Subgroups and Applications.
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- IMRN: International Mathematics Research Notices, 2012, v. 2012, n. 9, p. 1968
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- Article
Corrigenda to: Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings and Fixed Points of the Discrete Logarithm.
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- IMRN: International Mathematics Research Notices, 2009, v. 2009, n. 16, p. 3146, doi. 10.1093/imrn/rnp041
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- Article
Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm.
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- IMRN: International Mathematics Research Notices, 2008, v. 2008, p. 1, doi. 10.1093/imrn/rnn090
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- Article
Chinese Remaindering with Multiplicative Noise.
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- Theory of Computing Systems, 2007, v. 40, n. 1, p. 33, doi. 10.1007/s00224-005-1272-9
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- Article
Weil Sums over Small Subgroups.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2024, v. 176, n. 1, p. 39, doi. 10.1017/S0305004123000415
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- Article
On the typical size and cancellations among the coefficients of some modular forms.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2019, v. 166, n. 1, p. 173, doi. 10.1017/S0305004117000780
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- Article
Exponential sums over Mersenne numbers.
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- Compositio Mathematica, 2004, v. 140, n. 1, p. 15, doi. 10.1112/s0010437x03000022
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- Article
EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS.
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- Journal of the Australian Mathematical Society, 2012, v. 92, n. 1, p. 1, doi. 10.1017/S1446788712000109
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- Article
ON THE NUMBER OF SIGN CHANGES OF HECKE EIGENVALUES OF NEWFORMS.
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- Journal of the Australian Mathematical Society, 2008, v. 85, n. 1, p. 87, doi. 10.1017/S1446788708000323
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- Article
On values taken by the largest prime factor of shifted primes.
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- Journal of the Australian Mathematical Society, 2007, v. 82, n. 1, p. 133, doi. 10.1017/S1446788700017511
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- Article
Arithmetic properties of Apery numbers.
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- Journal of the London Mathematical Society, 2008, v. 78, n. 3, p. 545, doi. 10.1112/jlms/jdn031
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- Article
On the Sato-Tate conjecture on average for some families of elliptic curves.
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- Forum Mathematicum, 2013, v. 25, n. 3, p. 647, doi. 10.1515/form.2011.141
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- Article
Elliptic Curves with Low Embedding Degree.
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- Journal of Cryptology, 2006, v. 19, n. 4, p. 553, doi. 10.1007/s00145-006-0544-0
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- Article
The Insecurity of the Digital Signature Algorithm with Partially Known Nonces.
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- Journal of Cryptology, 2002, v. 15, n. 3, p. 151, doi. 10.1007/s00145-002-0021-3
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- Article
Groups generated by iterations of polynomials over finite fields.
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- Proceedings of the Edinburgh Mathematical Society, 2016, v. 59, n. 1, p. 235, doi. 10.1017/S0013091515000097
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- Article
On numbers n dividing the nth term of a linear recurrence.
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- Proceedings of the Edinburgh Mathematical Society, 2012, v. 55, n. 2, p. 271, doi. 10.1017/S0013091510001355
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- Article
ON QUADRATIC FIELDS GENERATED BY THE SHANKS SEQUENCE.
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- Proceedings of the Edinburgh Mathematical Society, 2009, v. 52, n. 3, p. 719, doi. 10.1017/S001309150700123X
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- Article
On the distribution of modular inverses from short intervals.
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- Mathematika, 2023, v. 69, n. 4, p. 1183, doi. 10.1112/mtk.12224
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Additive energy and a large sieve inequality for sparse sequences.
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- Mathematika, 2022, v. 68, n. 2, p. 362, doi. 10.1112/mtk.12140
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SMOOTH SQUAREFREE AND SQUAREFULL INTEGERS IN ARITHMETIC PROGRESSIONS.
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- Mathematika, 2020, v. 66, n. 1, p. 56, doi. 10.1112/mtk.12012
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- Article
CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS.
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- Mathematika, 2019, v. 65, n. 3, p. 475, doi. 10.1112/S0025579318000554
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DENOMINATORS OF BERNOULLI POLYNOMIALS.
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- Mathematika, 2018, v. 64, n. 2, p. 519, doi. 10.1112/S0025579318000153
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- Article
MULTIPLE EXPONENTIAL AND CHARACTER SUMS WITH MONOMIALS.
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- Mathematika, 2014, v. 60, n. 2, p. 363, doi. 10.1112/S0025579314000084
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- Article
ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS.
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- Mathematika, 2012, v. 58, n. 1, p. 11, doi. 10.1112/S0025579311002117
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- Article
EXPONENTIAL SUMS OVER POINTS OF ELLIPTIC CURVES WITH RECIPROCALS OF PRIMES.
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- Mathematika, 2012, v. 58, n. 1, p. 21, doi. 10.1112/S0025579311001719
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- Article
Character sums with exponential functions.
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- Mathematika, 2000, v. 47, n. 1/2, p. 75, doi. 10.1112/S0025579300015734
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- Article
ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS.
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- Bulletin of the Australian Mathematical Society, 2009, v. 79, n. 3, p. 455, doi. 10.1017/S0004972709000033
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- Article
ARITHMETIC AND GEOMETRIC PROGRESSIONS IN PRODUCT SETS OVER FINITE FIELDS.
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- Bulletin of the Australian Mathematical Society, 2008, v. 78, n. 3, p. 357, doi. 10.1017/S0004972708000695
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- Article
APPROXIMATION BY SEVERAL RATIONALS.
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- Bulletin of the Australian Mathematical Society, 2008, v. 77, n. 2, p. 325, doi. 10.1017/S0004972708000373
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- Article
On the distribution of angles of the Salié sums.
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- Bulletin of the Australian Mathematical Society, 2007, v. 75, n. 2, p. 221, doi. 10.1017/S0004972700039150
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- Article
Non-residues and primitive roots in Beatty sequences.
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- Bulletin of the Australian Mathematical Society, 2006, v. 73, n. 3, p. 433, doi. 10.1017/S0004972700035449
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- Article
On some generalisations of the Erdős distance problem over finite fields.
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- Bulletin of the Australian Mathematical Society, 2006, v. 73, n. 2, p. 285, doi. 10.1017/S0004972700038867
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- Article
Finding the group structure of elliptic curves over finite fields.
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- Bulletin of the Australian Mathematical Society, 2005, v. 72, n. 2, p. 251, doi. 10.1017/S0004972700035048
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- Article
On the nonlinearity of the sequence of signs of Kloosterman sums.
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- Bulletin of the Australian Mathematical Society, 2005, v. 71, n. 3, p. 405, doi. 10.1017/S0004972700038405
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- Article