
- WHITTAKER-FOURIER COEFFICIENTS OF METAPLECTIC EISENSTEIN SERIES
- Uniform Distribution of the Fractional Part of the Average Prime Divisor
- Distribution of Inverses in Polynomial Rings William D. Banks
- Values of the Euler function free of k-th powers William D. Banks
- AN EXTREMELY SMALL AND EFFICIENT IDENTIFICATION
- On the Average Value of Divisor Sums in Arithmetic Progressions
- Multiplicative Character Sums with the Sum of g-ary Digits Function
- The Casselman-Shalika Formula for a Distinguished Model by William D. Banks
- Block-compatible metaplectic cocycles William D. Banks, Jason Levy, Mark R. Sepanski1
- AN IDENTIFICATION SCHEME BASED ON SPARSE POLYNOMIALS
- NON-LINEAR COMPLEXITY OF THE NAORREINGOLD
- ON THE DIMENSION OF THE JACQUET MODULE OF A CERTAIN INDUCED REPRESENTATION
- Average Normalisations of Elliptic Curves
- Matrix inequalities with applications to the theory of iterated kernels
- A Variant of NTRU with Non-Invertible Polynomials
- New Examples of Noncommutative (p) Sets
- Exponential Sums over Mersenne Numbers
- Number Theoretic Designs for Directed Regular Graphs of Small Diameter
- Arithmetic Properties of Numbers with Restricted Digits
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- On the Value Set of n! Modulo a Prime William D. Banks
- Values of Arithmetical Functions Equal to a Sum of Two Squares
- Values of the Euler Function in Various Sequences
- Prime Divisors of Palindromes William D. Banks
- Some Divisibility Properties of the Euler Function
- Distributional Properties of the Largest Prime Factor
- Arithmetic Properties of (n)/(n) and the Structure of the Multiplicative Group
- William D. Banks , John B. Friedlander Florian Luca Francesco Pappalardi
- Double character sums over elliptic curves and finite fields
- Indag. Mathem., N.S., 17 (2), 157168 June 19, 2006 Character sums with exponential functions over smooth numbers
- Common Divisors of the Euler Function at Related Arguments
- Average value of the Euler function on binary palindromes
- Prime divisors in Beatty sequences William D. Banks
- On Values Taken by the Largest Prime Factor of Shifted Primes
- Houston Journal of Mathematics c 2050 University of Houston
- Proceedings of the Edinburgh Mathematical Society (2007) 50, 563569 c DOI:10.1017/S0013091505001161 Printed in the United Kingdom
- Uniform Distribution Theory 2 (2007), no.1, 3952 distribution
- On integers with a special divisibility William D. Banks
- HEREDITY OF WHITTAKER MODELS ON THE METAPLECTIC GROUP
- TWISTED SYMMETRIC-SQUARE L-FUNCTIONS AND THE NONEXISTENCE OF SIEGEL ZEROS ON GL(3)
- ALF'S PREPRINTS Paper 162, Early Draft of , Pages 6972
- Bull. Austral. Math. Soc. 11b50, 11l40, 11t24 Vol. 73 (2006) [433443]
- Compositions with the Euler and Carmichael Functions
- Fields Institute Communications Volume 00, 0000
- Concatenations with Binary Recurrent Sequences
- Under consideration for publication in Math. Proc. Camb. Phil. Soc. 1 INCOMPLETE EXPONENTIAL SUMS AND
- Congruences and Rational Exponential Sums with the Euler
- Proceedings of Symposia in Applied Mathematics Towards Faster Cryptosystems, II
- Short Kloosterman Sums for Polynomials over Finite Fields
- Smooth Values of Shifted Primes in Arithmetic Progressions
- Fields Institute Communications Volume 00, 0000
- Roughly Squarefree Values of the Euler and Carmichael Functions
- Irrationality of Power Series for Various Number Theoretic Functions
- Some unusual identities for special values of the Riemann zeta function
- Acta Mathematica Sinica, English Series Published online: Apr. 8, 2006
- Almost All Palindromes Are Composite
- CRYPTOGRAPHIC APPLICATIONS OF SPARSE POLYNOMIALS OVER FINITE
- Nonaliquots and Robbins Numbers William D. Banks
- A Corollary to Bernstein's Theorem and Whittaker Functionals on the Metaplectic Group
- On the Number of Sparse RSA Exponents William D. Banks
- Math. Res. Lett. 13 (2006), no. 00, 1100NN c International Press 2006 SHORT CHARACTER SUMS WITH BEATTY SEQUENCES
- Character Sums over Integers with Restricted g-ary Digits
- Under consideration for publication in Math. Proc. Camb. Phil. Soc. 1 INCOMPLETE EXPONENTIAL SUMS AND
- Double character sums over elliptic curves and finite fields
- On Values Taken by the Largest Prime Factor of Shifted Primes
- Exponential and character sums with Mersenne numbers
- This article was published in the above mentioned Springer issue. The material, including all portions thereof, is protected by copyright;
- Comment. Math. Helv. 81 (2006), xxxxxx Commentarii Mathematici Helvetici Swiss Mathematical Society
- Congruences and Rational Exponential Sums with the Euler
- Canad. Math. Bull. Vol. 52 (1), 2009 pp. 38 Carmichael Numbers with a Square Totient
- Carmichael numbers composed of primes from a Beatty sequence
- The Casselman-Shalika Formula for a Distinguished Model by William D. Banks
- A remark on Giuga's conjecture and Lehmer's totient problem
- Exponential Sums over Mersenne Numbers
- On repeated values of the Riemann zeta function
- Canad. J. Math. Vol. 61 (3), 2009 pp. 481502 Uniform Distribution of Fractional Parts
- Irrationality of Power Series for Various Number Theoretic Functions
- Carmichael numbers with a totient of the form a2
- Ann. Sci. Math. Quebec 29 (2005), no. 2, 131145. ON CERTAIN SUMS RELATED TO MULTIPLE
- Integers without divisors from a fixed arithmetic progression
- A Corollary to Bernstein's Theorem and Whittaker Functionals on the Metaplectic Group
- Math. Res. Lett. 13 (2006), no. 00, 1100NN c International Press 2006 SHORT CHARACTER SUMS WITH BEATTY SEQUENCES
- Compositions with the Euler and Carmichael Functions
- Congruences and exponential sums with the sum of aliquot divisors function
- Character sums with Beatty sequences on Burgess-type intervals
- Journal of Number Theory 123 (2007) 413425 www.elsevier.com/locate/jnt
- Integers with a large smooth divisor William D. Banks
- Common Divisors of the Euler Function at Related Arguments
- New Examples of Noncommutative (p) Sets
- WHITTAKER-FOURIER COEFFICIENTS OF METAPLECTIC EISENSTEIN SERIES
- TWISTED SYMMETRIC-SQUARE L-FUNCTIONS AND THE NONEXISTENCE OF SIEGEL ZEROS ON GL(3)
- Matrix inequalities with applications to the theory of iterated kernels
- Short Kloosterman Sums for Polynomials over Finite Fields
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- Roughly Squarefree Values of the Euler and Carmichael Functions
- Bull. London Math. Soc. 40 (2008) 8896 Ce2008 London Mathematical Society doi:10.1112/blms/bdm111
- ON THE DIMENSION OF THE JACQUET MODULE OF A CERTAIN INDUCED REPRESENTATION
- Multiplicative character sums with twice-differentiable functions
- ACTA ARITHMETICA 130.3 (2007)
- Average value of the Euler function on binary palindromes
- Integers 11 (2011), 307313 DOI 10.1515/INTEG.2011.024 de Gruyter 2011
- On group structures realized by elliptic curves over arbitrary finite
- A variant on the notion of a Diophantine s-tuple
- Block-compatible metaplectic cocycles William D. Banks, Jason Levy, Mark R. Sepanski1
- Monatsh Math (2009) 157:303322 DOI 10.1007/s00605-008-0022-x
- Distributional Properties of the Largest Prime Factor
- AN EXTREMELY SMALL AND EFFICIENT IDENTIFICATION
- Estimates for Wieferich Numbers William D. Banks
- ALF'S PREPRINTS Paper 162, Early Draft of , Pages 6972