Representations by certain octonary quadratic forms with coefficients 1, 3 or 9

The representation of a pair of integers by a pair of positive-definite binary quadratic forms

Hardy, K. (Kenneth)
Kaplan, P. (Pierre)
Williams, K.S. (Kenneth S.)

January 1989

An explicit formula is given for the number of representations of a pair of positive integers by a r...

On the quaternary forms x 2 + y 2 + 2z 2 + 3t 2, x 2 + 2y 2 + 2z 2 + 6t 2, x 2 + 3y 2 + 3z 2 + 6t 2 and 2x 2 + 3y 2 + 6z 2 + 6t 2

Alaca, A. (Ayse)
Williams, K.S. (Kenneth S.)

November 2012

Formulas are proved for the number of representations of a positive integer by each of the four quat...

Let

Turk J Math
Ahmet Tekcan

July 2015

In this paper, representations of positive integers by certain quadratic forms Qp de ned for odd pri...

Representations by octonary quadratic forms with coefficients 1, 3 or 9

Alaca, A. (Ayse)
Kesicioʇlu, M.N. (M. Nesibe)

January 2015

Using modular forms, we determine the number of representations of a positive integer by diagonal oc...

Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6

Alaca, S. (Saban)
Kesicioǧlu, Y. (Yavuz)

February 2014

We determine formulae for the numbers of representations of a positive integer by certain octonary q...

Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

Alaca, Ayse
Kesicioglu, M. Nesibe

January 2017

WOS: 000395321000011Using modular forms, we determine formulas for the number of representations of ...

Representations by quaternary quadratic forms with coefficients 1, 2, 5 or 10

Alaca, A. (Ayse)
Altiary, M. (Mada)

January 2019

We determine explicit formulas for the number of representations of a positive integer n by quaterna...

Fourteen octonary quadratic forms

Alaca, A. (Ayse)
Alaca, S. (Saban)
Williams, K.S. (Kenneth S.)

February 2010

We use the recent evaluation of certain convolution sums involving the sum of divisors function to d...

The number of representations of a positive integer by certain octonary quadratic forms

Alaca, S. (Saban)
Williams, K.S. (Kenneth S.)

January 2010

The number of representations of a positive integer by each of the octonary quadratic forms x2 1 +x2...

Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6

Alaca, Şaban
Kesicioğlu, Yavuz

January 2014

WOS: 000330644800009We determine formulae for the numbers of representations of a positive integer b...

Representations by quaternary quadratic forms whose coefficients are 1, 4, 9 and 36

Alaca, Ayşe

November 2011

AbstractExplicit formulae are determined for the number of representations of a positive integer by ...

The number of representations of a positive integer by certain quaternary quadratic forms

Alaca, A. (Ayse)
Alaca, S. (Saban)
Lemire, M.F. (Mathieu F.)
Williams, K.S. (Kenneth S.)

May 2009

Some theta function identities are proved and used to give formulae for the number of representation...

ON THE REPRESENTATION OF NUMBERS BY SOME QUADRATIC FORMS OF LEVEL 12

Nikoloz Kachakhidze

January 2015

Abstract. Formulas are obtained for the number of representations of pos-itive integers by quadratic...

Theta Function Identities and Representations by Certain Quaternary Quadratic Forms II

Mathieu F. Lemire
Kenneth S. Williams

November 2015

Some new theta function identities are proved and used to determine the number of representations of...

On The Number of Representations of a Positive Integer By Certain Binary Quadratic Forms Belonging To Multi-Class Genera

TEIMURAZ VEPKHVADZE

June 2015

It is well known how to find the formulae for the number of representations of positive integers by ...

The representation of a pair of integers by a pair of positive-definite binary quadratic forms

Hardy, K. (Kenneth)
Kaplan, P. (Pierre)
Williams, K.S. (Kenneth S.)

January 1989

An explicit formula is given for the number of representations of a pair of positive integers by a r...

On the quaternary forms x 2 + y 2 + 2z 2 + 3t 2, x 2 + 2y 2 + 2z 2 + 6t 2, x 2 + 3y 2 + 3z 2 + 6t 2 and 2x 2 + 3y 2 + 6z 2 + 6t 2

Alaca, A. (Ayse)
Williams, K.S. (Kenneth S.)

November 2012

Formulas are proved for the number of representations of a positive integer by each of the four quat...

Let

Turk J Math
Ahmet Tekcan

July 2015

In this paper, representations of positive integers by certain quadratic forms Qp de ned for odd pri...

Representations by octonary quadratic forms with coefficients 1, 3 or 9

Alaca, A. (Ayse)
Kesicioʇlu, M.N. (M. Nesibe)

January 2015

Using modular forms, we determine the number of representations of a positive integer by diagonal oc...

Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6

Alaca, S. (Saban)
Kesicioǧlu, Y. (Yavuz)

February 2014

We determine formulae for the numbers of representations of a positive integer by certain octonary q...

Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

Alaca, Ayse
Kesicioglu, M. Nesibe

January 2017

WOS: 000395321000011Using modular forms, we determine formulas for the number of representations of ...

Representations by quaternary quadratic forms with coefficients 1, 2, 5 or 10

Alaca, A. (Ayse)
Altiary, M. (Mada)

January 2019

We determine explicit formulas for the number of representations of a positive integer n by quaterna...

Fourteen octonary quadratic forms

Alaca, A. (Ayse)
Alaca, S. (Saban)
Williams, K.S. (Kenneth S.)

February 2010

We use the recent evaluation of certain convolution sums involving the sum of divisors function to d...

The number of representations of a positive integer by certain octonary quadratic forms

Alaca, S. (Saban)
Williams, K.S. (Kenneth S.)

January 2010

The number of representations of a positive integer by each of the octonary quadratic forms x2 1 +x2...

Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6

Alaca, Şaban
Kesicioğlu, Yavuz

January 2014

WOS: 000330644800009We determine formulae for the numbers of representations of a positive integer b...

Representations by quaternary quadratic forms whose coefficients are 1, 4, 9 and 36

Alaca, Ayşe

November 2011

AbstractExplicit formulae are determined for the number of representations of a positive integer by ...

The number of representations of a positive integer by certain quaternary quadratic forms

Alaca, A. (Ayse)
Alaca, S. (Saban)
Lemire, M.F. (Mathieu F.)
Williams, K.S. (Kenneth S.)

May 2009

Some theta function identities are proved and used to give formulae for the number of representation...

ON THE REPRESENTATION OF NUMBERS BY SOME QUADRATIC FORMS OF LEVEL 12

Nikoloz Kachakhidze

January 2015

Abstract. Formulas are obtained for the number of representations of pos-itive integers by quadratic...

Theta Function Identities and Representations by Certain Quaternary Quadratic Forms II

Mathieu F. Lemire
Kenneth S. Williams

November 2015

Some new theta function identities are proved and used to determine the number of representations of...

On The Number of Representations of a Positive Integer By Certain Binary Quadratic Forms Belonging To Multi-Class Genera

TEIMURAZ VEPKHVADZE

June 2015

It is well known how to find the formulae for the number of representations of positive integers by ...

The representation of a pair of integers by a pair of positive-definite binary quadratic forms

Hardy, K. (Kenneth)
Kaplan, P. (Pierre)
Williams, K.S. (Kenneth S.)

January 1989

An explicit formula is given for the number of representations of a pair of positive integers by a r...

On the quaternary forms x 2 + y 2 + 2z 2 + 3t 2, x 2 + 2y 2 + 2z 2 + 6t 2, x 2 + 3y 2 + 3z 2 + 6t 2 and 2x 2 + 3y 2 + 6z 2 + 6t 2

Alaca, A. (Ayse)
Williams, K.S. (Kenneth S.)

November 2012

Formulas are proved for the number of representations of a positive integer by each of the four quat...

Let

Turk J Math
Ahmet Tekcan

July 2015

In this paper, representations of positive integers by certain quadratic forms Qp de ned for odd pri...

Representations by certain octonary quadratic forms with coefficients 1, 3 or 9

Abstract

Extracted data

Representations by certain octonary quadratic forms with coefficients 1, 3 or 9

Abstract

Extracted data

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