On the cardinality of the set of solutions to congruence equation associated with cubic form

QR Code

On the cardinality of the set of solutions to congruence equation associated with cubic form

Let x = (x1, x2,..., xn) be a vector in the space ℚn with ℚ field of rational numbers and q be a positive integer, f a polynomial in x with coefficient in ℚ. The exponential sum associated with f is defined as S (f;q)=∑xmodq e 2πif(x)/q, where the sum is taken over a complete set of residues modulo...

Full description

Bibliographic Details
Main Authors:	Aminudin, S. S., Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin
Format:	Article
Published:	Pushpa Publishing House 2014
Online Access:	http://psasir.upm.edu.my/id/eprint/34734/

Similar Items

On the estimation of cardinality of common solutions to congruence equation
by: Mohd Atan, Kamel Ariffin, et al.
Published: (2010)

On the cardinality of the set of solutions to congruence equation associated with polynomial of degree eleven
by: Lasaraiya, Suriana, et al.
Published: (2015)

A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations
by: Mohd Atan, Kamel Ariffin
Published: (1988)

On the Estimate to Solutions of Congruence Equations Associated with a Cubic Form
by: Mohd Atan, Kamel Ariffin, et al.
Published: (1993)

Cardinality of sets associated to certain degree seven polynomials
by: Lasaraiya, Suriana, et al.
Published: (2015)

A method of estimating the p-adic sizes of common zeros of partial derivative polynomials associated with a complete cubic form
by: Aminudin, Siti Syaheera, et al.
Published: (2013)

Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form.
by: Yap, Hong Keat, et al.
Published: (2011)

On The Estimate to Solutions of Congruence Equations Associated with a Quartic form
by: Chan, Kait Loon
Published: (1997)

On cardinality of character sums with Beatty sequences associated with composite modules
by: Ismail, Allakov, et al.
Published: (2023)

On the cardinality of twelfth degree polynomial
by: Lasaraiya, Suriana, et al.
Published: (2016)

A method of estimating the p-adic sizes of common zeros of partial derivative polynomials associated with a quintic form
by: Sapar, Siti Hasana, et al.
Published: (2009)

A method of estimating the p-adic sizes of common zeros of partial derivative polynomials associated with an nth degree form
by: Sapar, Siti Hasana, et al.
Published: (2007)

An Estimation of p-adic Sizes of Common Zeros of Partial Derivative Polynomials Associated with a Seventh Degree Form with Complete Dominant Terms
by: Sapar, Siti Hasana, et al.
Published: (2008)

On the Diophantine equation
by: Zahari, N. M., et al.
Published: (2012)

Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form
by: Yap .H.K,, et al.
Published: (2011)

An estimation of exponential sums associated with sextic polynomial
by: Sapar, Siti Hasana, et al.
Published: (2009)

A Method of Estimating the p-adic Sizes of Common Zeros of Partial Derivative Polynomials Associated with a Seventh Degree Form
by: Sapar, Siti Hasana, et al.
Published: (2007)

On the diophantine equation x² + 4.7ᵇ = y²ʳ
by: Yow, Kai Siong, et al.
Published: (2013)

Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
by: Md. Asaduzzaman, et al.
Published: (2020)

An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form
by: Yap, Hong Keat, et al.
Published: (2013)

An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form
by: Yap, Hong Keat, et al.
Published: (2014)

The number of solutions of cubic equations over Q3
by: Saburov, Mansoor, et al.
Published: (2015)

The number of solutions of cubic equations over Q3
by: Mansoor Saburov,, et al.
Published: (2015)

A method of finding an integral solution to x3 + y3 = kz4
by: Zahari, N. M., et al.
Published: (2010)

Approximately cubic funtional equations and cubic multipliers.
by: Bodaghi, Abasalt, et al.
Published: (2011)

A method of estimating the p-adic sizes polynomials
by: Sapar, Siti Hasana, et al.
Published: (2014)

An estimation of the p-adic sizes of common zeros of partial derivative polynomials of degree six
by: Aminudin, Siti Syaheera, et al.
Published: (2013)

Cubic equations associated with p-adic potts models
by: Saburov, Mansoor
Published: (2015)

An explicit estimation of exponential sum associated with a quintic form
by: Mohd Atan, Kamel Ariffin
Published: (2012)

Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
by: Sapar, Siti Hasana, et al.
Published: (2007)

An Estimation of Exponential Sums Associated with a Cubic Form Polynomial
by: Heng, Swee Huay
Published: (1999)

On the integral solutions of the diophantine equation x4 + y4 = z3
by: Ismail, S., et al.
Published: (2013)

A method for determining p-adic orders of factorials
by: Zulkapli, Rafika, et al.
Published: (2015)

Numerical solution of heat equation using modified cubic B-spline collocation method
by: Iqbal, Mudassar, et al.
Published: (2024)

Solvability of cubic equations over Q3
by: Saburov, Mansoor, et al.
Published: (2015)

Solvability of cubic equations over Q3
by: Mansoor Saburov,, et al.
Published: (2015)

An Estimating the p-adic sizes of common zeros of partial derivative polynomials
by: Sapar, Siti Hasana, et al.
Published: (2013)

On cubic equations over p-adic fields
by: Mukhamedov, Farrukh, et al.
Published: (2014)

A matrix representation of an automorphism of a metacyclic P-group
by: Alias, Idham Arif, et al.
Published: (2009)

On the exponential diophantine equations of degree three
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)