1995
The Casselman-Shalika formula for a distinguished model, Proc.
Amer. Math. Soc. 123 (1995) no.3, pp.681-692.
1997
Twisted symmetric-square L-functions and the nonexistence of
Siegel zeros on GL(3), Duke Math. J., 87 (1997) no.2, pp.343-353.
1998
Heredity of Whittaker models on the metaplectic group, Pacific J.
Math., 185 (1998) no.1, pp.89-96.
A corollary to Bernstein's theorem and Whittaker functionals on
the metaplectic group, Math. Res. Lett., 5 (1998), pp.781-790.
1999
with J.Levy and M.Sepanski, Block-compatible metaplectic cocycles,
J. Reine Angew. Math., 507 (1999), pp.131-163.
2000
with
D.Lieman and I.Shparlinski, An identification scheme based on
sparse polynomials, Lecture Notes in Comput. Sci., 1751,
Springer-Verlag, Berlin (2000).
with F.Griffin, D.Lieman and I.Shparlinski, Nonlinear complexity
of the Naor-Reingold pseudo-random function, Lecture Notes in
Comput. Sci., 1787, Springer-Verlag, Berlin (2000).
with
D.Lieman and I.Shparlinski, An extremely small and efficient
identification scheme, Lecture Notes in Comput. Sci., 1841,
Springer-Verlag, Berlin (2000).
2001
with D.Lieman, I.Shparlinski, and V.To, Cryptographic applications
of sparse polynomials over finite rings, Lecture Notes in Comput.
Sci., 2015, Springer-Verlag, Berlin (2001).
with D.Bump and D.Lieman, On the dimension of the Jacquet module
of a certain induced representation, Lecture Notes in Pure and
Applied Math., 220, Marcel Dekker, Inc., New York (2001).
Some unusual identities for special values of the Riemann zeta
function, Ramanujan J., 5 (2001) no.2, pp.153-157.
with I.Shparlinski, Distribution of inverses in polynomials rings,
Indag. Math., 12 (2001), pp.303-315.
2002
with I.Shparlinski, On the number of sparse RSA Exponents, J.
Number Theory, 95 (2002) no.2, pp.340-350.
with I.Shparlinski, Average normalisations of elliptic curves,
Bull. Austral. Math. Soc., 66 (2002), pp.353-358.
with A.Conflitti and I.Shparlinski, Character sums over integers
with restricted $g$-ary digits, Illinois J. Math., 46 (2002) no.3,
pp.819-836.
2003
with D.Bump and D.Lieman, Whittaker-Fourier coefficients of
metaplectic Eisenstein series, Compositio Math., 135 (2003) no.2,
pp.153-178.
with A.Harcharras, S.Neuwirth and E.Ricard, Matrix inequalities
with applications to the theory of iterated kernels, Linear
Algebra Appl., 362 (2003), pp.275-286.
with I.Shparlinski, A variant of NTRU with non-invertible
polynomials, Lecture Notes in Comput. Sci., 2551, Springer-Verlag,
Berlin (2003).
with A.Harcharras and I.Shparlinski, Short Kloosterman sums for
polynomials over finite fields, Canad. J. Math., 55 (2003),
pp.225-246.
with A.Harcharras, New examples of noncommutative $Lambda(p)$
sets, Illinois J. Math., 47 (2003), pp.1063-1078.
2004
with A.Conflitti, J.Friedlander and I.Shparlinski, Exponential
sums over Mersenne numbers, Compositio Math., 140 (2004),
pp.15-30.
with A.Conflitti and I.Shparlinski, Number theoretic designs for
directed regular graphs of small diameter, SIAM J. Discrete Math.,
17 (2004) no.3, pp.377-383.
with A.van der Poorten, Squares from products of integers,
Austral. Math. Soc. Gaz., 31 (2004) no.1, pp.40-42.
with I.Shparlinski, Congruences and exponential sums with the
Euler function, in High Primes and Misdemeanours: Lectures in
Honour of the 60th Birthday of Hugh Cowie Williams, Fields
Institute Communications, AMS (2004).
with J.Friedlander, C.Pomerance and I.Shparlinski, Multiplicative
structure of values of the Euler function, in High Primes and
Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh
Cowie Williams, Fields Institute Communications, AMS (2004).
with I.Shparlinski, Arithmetic properties of numbers with
restricted digits, Acta Arith., 112 (2004) no.4, pp.313-332.
with A.Harcharras, On the norm of an idempotent Schur multiplier
on the Schatten class, Proc. Amer. Math. Soc., 132 (2004) no.7,
pp.2121-2125.
with A.Harcharras and I.Shparlinski, Smooth values of shifted
primes in arithmetic progressions, Michigan Math. J., 52 (2004)
no.3, pp.603-618.
with D.Hart and M.Sakata, Almost all palindromes are composite,
Math. Res. Lett., 11 (2004) nos.5-6, pp.853-868.
2005
with R.Heath-Brown and I.Shparlinski, On the average value of
divisor sums in arithmetic progressions, Internat. Math. Res.
Notices, 2005, no.1, pp.1-26.
with F.Luca, Concatenations with binary recurrent sequences, J.
Integer Seq., 8 (2005), no.1, Article 05.1.3, 18pp.(Electronic)
with F.Luca, I.Shparlinski and H.Stichtenoth, On the value set of
$n!$ modulo a prime, Turkish J. Math., 29 (2005), 169-174.
with F.Luca and I.Shparlinski, Irrationality of power series for
various number theoretic functions, Manuscripta Math., 117 (2005),
no.2, 183-197.
with F.Luca, F.Saidak and I.Shparlinski, Values of arithmetical
functions equal to a sum of two squares, Quart. J. Math. Oxford
Ser., 56 (2005), 123-139.
with F.Luca, Nonaliquots and Robbins numbers, Colloq. Math., 103
(2005), 27-32.
with K.Ford, F.Luca, F.Pappalardi and I.Shparlinski, Values of the
Euler function in various sequences, Monatsh. Math., 146 (2005),
1-19.
with F.Luca, F.Saidak and P.Stu anicu a, Compositions with the
Euler and Carmichael functions, Abh. Math. Sem. Hamburg, 75
(2005), 215-243.
with M.Garaev, F.Luca and I.Shparlinski, Uniform distribution of
the fractional part of the average prime divisor,
Forum Math., 17 (2005), 885-901.
Towards faster cryptosystems, II, in Public Key Cryptography,
Proceedings of Symposia in Pure Mathematics, 62, AMS, 2005.
with F.Luca, Roughly squarefree values of the Euler and Carmichael
functions, Acta Arith. 120 (2005), 211-230.
with I.Shparlinski, Prime divisors of palindromes, Period. Math.
Hungar. 51 (2005), 1-10.
with F.Luca and I.Shparlinski, Some divisibility properties of the
Euler function, Glasgow Math. J. 47 (2005), no.3, 517-528.
with G.Harman and I.Shparlinski, Distributional properties of the
largest prime factor, Michigan Math. J. 53 (2005), 665-681.
2006
with F.Luca and I.Shparlinski, Arithmetic properties of
$\varphi(n)/\lambda(n)$ and the structure of the multiplicative
group modulo $n$, Comment. Math. Helv. 81 (2006), no.1, 1-22.
with J.Friedlander, S.Konyagin and I.Shparlinski, Incomplete
character sums and Diffie-Hellman triples, Math. Proc. Cambridge
Philos. Soc. 140 (2006), 193-206.
with J.Friedlander, F.Luca, F.Pappalardi and I.Shparlinski,
Coincidences in the values of the Euler and Carmichael functions,
Acta Arith. 122 (2006) no.3, 207-234.
with I.Shparlinski, Non-residues and primitive roots in Beatty
sequences, Bull. Austral. Math. Soc. 73 (2006), 433-443.
with F.Luca, On integers with a special divisibility property,
Arch. Math. (Brno) 42 (2006), 31-42.
with I.Shparlinski, Multiplicative character
sums with the $g$-ary sum of digits function, Ramanujan
J. 11 (2006) no.2, 215-219.
with J.Friedlander, M.Garaev and I.Shparlinski,
Double character sums over elliptic curves and finite fields,
Pure Appl. Math. Q. 2 (2006) no.1, 179-197.
with I.Shparlinski, Short character sums with
Beatty sequences, Math. Res. Lett. 13 (2006),
539-547.
with J.Friedlander, M.Garaev and I.Shparlinski,
Character sums with exponential functions over smooth numbers,
Indag. Math. (N.S.) 17 (2006), no.2, 157-168.
with F.Pappalardi, Values of the Euler function
free of $k$-th powers, J. Number Theory 120
(2006) no.2, 326-348.
with I.Shparlinski, Congruences and rational
exponential sums with the Euler function, Rocky Mountain
J. 36 (2006), 1415-1426.
with F.Luca and I.Shparlinski, Common divisors
of the Euler function at related arguments, Acta Sci.
Math. (Szeged) 72 (2006), no.3-4, 525-536.
with I.Shparlinski, Average value of the Euler
function on binary palindromes, Bull. Pol. Acad. Sci.
Math. 54 (2006), no.2, 95-101.
with I.Shparlinski, Prime divisors of Beatty
sequences, J. Number Theory 123 (2007) no.2,
413-425.
with F.Luca and I.Shparlinski, On rough and
smooth neighbours, Rev. Mat. Complut. 20
(2007) no.1, 109-118.
with I.Shparlinski, On values taken by the
largest prime factor of shifted primes, J. Aust. Math.
Soc. 82 (2007), 133-147.
2007
with I.Shparlinski, Integers with a large
smooth divisor, Integers 7 (2007), A17, 11pp.
(electronic)
with F.Luca, Sums of prime divisors and
Mersenne numbers, Houston J. Math. 33 (2007),
no.2, 403-413 (electronic).
with F.Luca, When the sum of aliquots divides
the totient, Proc. Edinb. Math. Soc. 50
(2007), 563-569.
with F.Luca, Composite integers $n$ for which
$\varphi(n)\mid n-1$, Acta Math. Sinica, English Series
23 (2007), no.10, 1915-1918.
with M.Sakata and F.Saidak, Kloosterman sums
for modified van der Corput sequences, Uniform Distribution
Theory 2 (2007), no.1, 39-52.