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Evaluation of some <italic>q</italic>-integrals in terms of the Dedekind eta function.
- Published in:
- Analysis (0174-4747), 2018, v. 38, n. 2, p. 63, doi. 10.1515/anly-2018-0002
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- Article
A class of subsums of Euler's sum.
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- Analysis (0174-4747), 2016, v. 36, n. 4, p. 231, doi. 10.1515/anly-2015-0018
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- Article
Infinite products with coefficients which vanish on certain arithmetic progressions.
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- International Journal of Number Theory, 2017, v. 13, n. 5, p. 1095, doi. 10.1142/S1793042117500592
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- Article
Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class.
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- International Journal of Number Theory, 2016, v. 12, n. 6, p. 1529, doi. 10.1142/S1793042116500950
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- Article
Quartic residuacity and the quadratic character of certain quadratic irrationalities.
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- International Journal of Number Theory, 2015, v. 11, n. 8, p. 2487, doi. 10.1142/S1793042115501158
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- Article
On the number of representations of a positive integer as a sum of two binary quadratic forms.
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- International Journal of Number Theory, 2014, v. 10, n. 6, p. 1395, doi. 10.1142/S1793042114500353
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- Article
Analogues of Ramanujan's 24 squares formula.
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- International Journal of Number Theory, 2014, v. 10, n. 5, p. 1099, doi. 10.1142/S1793042114500171
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- Article
EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK.
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- International Journal of Number Theory, 2013, v. 9, n. 5, p. 1313, doi. 10.1142/S1793042113500292
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- Article
ON THE QUATERNARY FORMS x<sup>2</sup>+y<sup>2</sup>+2z<sup>2</sup>+3t<sup>2</sup>, x<sup>2</sup>+2y<sup>2</sup>+2z<sup>2</sup>+6t<sup>2</sup>, x<sup>2</sup>+3y<sup>2</sup>+3z<sup>2</sup>+6t<sup>2</sup> AND 2x<sup>2</sup>+3y<sup>2</sup>+6z<sup>2</sup>+6t<sup>2</sup>
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- International Journal of Number Theory, 2012, v. 8, n. 7, p. 1661, doi. 10.1142/S1793042112500972
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- Article
FOURIER SERIES OF A CLASS OF ETA QUOTIENTS.
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- International Journal of Number Theory, 2012, v. 8, n. 4, p. 993, doi. 10.1142/S1793042112500595
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- Article
FOURTEEN OCTONARY QUADRATIC FORMS.
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- International Journal of Number Theory, 2010, v. 6, n. 1, p. 37, doi. 10.1142/S179304211000279X
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- Article
SEXTENARY QUADRATIC FORMS AND AN IDENTITY OF KLEIN AND FRICKE.
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- International Journal of Number Theory, 2010, v. 6, n. 1, p. 169, doi. 10.1142/S1793042110002880
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- Article
THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY CERTAIN QUATERNARY QUADRATIC FORMS.
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- International Journal of Number Theory, 2009, v. 5, n. 1, p. 13, doi. 10.1142/S1793042109001943
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- Article
BERNDT'S CURIOUS FORMULA.
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- International Journal of Number Theory, 2008, v. 4, n. 4, p. 677, doi. 10.1142/S1793042108001614
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- Article
THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS.
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- International Journal of Number Theory, 2008, v. 4, n. 2, p. 219, doi. 10.1142/S1793042108001304
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- Article
ON THE DISTRIBUTION OF CYCLIC CUBIC FIELDS WITH INDEX 2.
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- International Journal of Number Theory, 2006, v. 2, n. 2, p. 235, doi. 10.1142/S1793042106000541
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- Article
THE CONVOLUTION SUM $\sum\limits_{m<n/9}\sigma(m)\sigma(n-9m)$.
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- International Journal of Number Theory, 2005, v. 1, n. 2, p. 193, doi. 10.1142/S1793042105000091
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- Article
Commentary on an Unpublished Lecture by G. N. Watson on Solving the Quintic.
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- Mathematical Intelligencer, 2002, v. 24, n. 4, p. 15, doi. 10.1007/BF03025320
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- Article
Density of integers which are discriminants of cyclic fields of odd prime degree.
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- Archiv der Mathematik, 2004, v. 83, n. 6, p. 507, doi. 10.1007/s00013-004-1043-x
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- Article
ARITHMETIC PROPERTIES OF THE TERNARY QUADRATIC FORM 3x² + 6y² + 14z² + 4yz + 2zx + 2xy.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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- Article
REPRESENTATION NUMBERS OF SPINOR REGULAR TERNARY QUADRATIC FORMS.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2021, v. 21, p. 1
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- Article
(k, l)-UNIVERSALITY OF TERNARY QUADRATIC FORMS ax<sup>2</sup> + by<sup>2</sup> + cz<sup>2</sup>.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2018, v. 18, p. 1
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- Article
CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION.
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- Proceedings of the Edinburgh Mathematical Society, 2004, v. 47, n. 3, p. 561, doi. 10.1017/s0013091503000956
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- Article
The squareroot of an ambiguous form in the principal genus.
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- Proceedings of the Edinburgh Mathematical Society, 1993, v. 36, n. 1, p. 145, doi. 10.1017/S0013091500005952
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- Article
On the divisibility of the class number of by 16.
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- Proceedings of the Edinburgh Mathematical Society, 1983, v. 26, n. 2, p. 221, doi. 10.1017/S0013091500016928
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- Article
EISENSTEIN SERIES AND THE THETA FUNCTIONS OF THE BORWEINS.
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- Journal of Combinatorics & Number Theory, 2017, v. 9, n. 2, p. 77
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- Article
AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS.
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- Bulletin of the Australian Mathematical Society, 2022, v. 106, n. 2, p. 269, doi. 10.1017/S0004972722000041
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- Article
PRIME-UNIVERSAL QUADRATIC FORMS ax<sup>2</sup> + by<sup>2</sup> + cz<sup>2</sup> AND ax<sup>2</sup> + by<sup>2</sup> + cz<sup>2</sup> + dw<sup>2</sup>.
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- Bulletin of the Australian Mathematical Society, 2020, v. 101, n. 1, p. 1, doi. 10.1017/S0004972719001023
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- Article
An infinite class of identities.
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- Bulletin of the Australian Mathematical Society, 2007, v. 75, n. 2, p. 239, doi. 10.1017/S0004972700039174
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- Article
Evaluation of two convolution sums involving the sum of divisors function.
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- Bulletin of the Australian Mathematical Society, 2006, v. 73, n. 1, p. 107, doi. 10.1017/S0004972700038661
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- Article
THE CUBIC CONGRUENCE x3 + Ax2 + Bx + C a 0 (mod p) AND BINARY QUADRATIC FORMS II.
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- Journal of the London Mathematical Society, 2001, v. 64, n. 2, p. 273, doi. 10.1112/S0024610701002381
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- Article
A cubic transformation formula for <sub>2</sub>F<sub>1</sub>(⅓,⅔;1;z) and some arithmetic convolution formulae.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2004, v. 137, n. 3, p. 519, doi. 10.1017/S0305004104007832
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- Article
EXPLICIT EVALUATION OF A SUBSUM OF EULER'S SUM.
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- Mathematics Student, 2023, v. 92, n. 3-4, p. 11
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- Article