Exponential sums for eighth degree polynomial

QR Code

Exponential sums for eighth degree polynomial

Let p > 7 be a prime, the exponential sums of any polynomial f(x, y) is given by S(f; p α ) = ∑x,y mod p e 2πif(x,y)/ pα, where the sum is taken over a complete set of residue modulo p. Firstly, Newton Polyhedron technique was used to determine the estimation for the p-adic sizes of common zeros...

Full description

Bibliographic Details
Main Authors:	Low, Chee Wai, Sapar, Siti Hasana, Mohamat Johari, Mohamat Aidil
Format:	Article
Language:	English
Published:	Institute for Mathematical Research, Universiti Putra Malaysia 2020
Online Access:	http://psasir.upm.edu.my/id/eprint/38340/ http://psasir.upm.edu.my/id/eprint/38340/1/7.%20Siti%20Hasana%20Sapar.pdf

Similar Items

Exponential sums for some higher degree polynomials
by: Low, Chee Wai
Published: (2018)

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

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

Relation between sum of 2mth powers and polynomials of triangular numbers
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2014)

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

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

Exponential sums for some nth degree polynomial
by: Lasaraiya, Suriana
Published: (2016)

Exponential sums associated with quartic polynomial
by: Yap, H. K., et al.
Published: (2019)

A general relation between sums of cubes and triangular pyramidal numbers
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2011)

General relation between sums of figurate numbers
by: Mohamat Johari, Mohamat Aidil
Published: (2013)

Estimation of multiple exponential sums associated with quartic polynomials
by: Yap, Hong Keat
Published: (2018)

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

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

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)

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)

Relation between square and centered pentagonal numbers
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2012)

A combinatorial proof for a relation between certain types of integers
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2013)

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)

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

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

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

UM placed eighth in ranking in Asia
by: Menon, Sandhya
Published: (2021)

Estimation of Exponential Sums Using p-Adic Methods and Newton Polyhedron Technique
by: Yap, Hong Keat
Published: (2010)

Degree exponent sum energy of commuting graph for dihedral groups
by: Romdhin, Mamika Ujianita, et al.
Published: (2022)

Degree sum energy of non-commuting graph for dihedral groups
by: Romdhini, Mamika Ujianita, et al.
Published: (2022)

Extended bounds of beatty sequence associated with primes
by: Deraman, Fatanah, et al.
Published: (2019)

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

An efficient identification scheme based on Bivariate function hard problem
by: Boon, Chian Tea, et al.
Published: (2022)

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)

Simultaneous pell equations x²-my² = 1 and y²-pz² = 1
by: Sihabudin, Nurul Amirah, et al.
Published: (2017)

Ergodicity of power series-maps on the simplexes of group algebras of finite groups
by: Bekbaev, Ural, et al.
Published: (2017)

Solution of Pantograph Differential Equations by Collocation Method using Ortho Exponential Polynomial
by: Norhayati, Rosli, et al.
Published: (2020)

Neighbors degree sum energy of commuting and non-commuting graphs for dihedral groups
by: Romdhini, M. U., et al.
Published: (2023)

Predictor-corrector scheme for solving second order ordinary differential equations
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2022)

Village in the Jungle: The Eighth Annual Doireann MacDermott Lecture
by: Offord, Baden
Published: (2011)

The eighth Australian peptide conference: Peptides - Tools, targets and therapeutics
by: Benson, Heather, et al.
Published: (2011)

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)

Comparison of science performance among male and female Iranian eighth grades students.
by: Sahranavard, Maryam, et al.
Published: (2013)

UM jumped and ranked eighth first in QS Asian university rankings
by: Nanyang Siang Pau
Published: (2021)