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mAnasataraMgiNI supplement
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Recent Posts
 Visualizing the Hindu divisibility test
 Fermat’s little theorem and the periods of the reciprocals of primes
 A layman’s overview of the arithmetic of encryption
 Divisionmultiplication parabolas, triplications, and quadratic residues
 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
 The mean hyperbola and other mean functions
 A Political roundup August 15 2018
 The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
 Reflections on our journey through the aliquot sums and sequences
 The ghost in the tattered Gattermann
 The hearts and the intrinsic Cassinian curve of an ellipse
 The mathematics class
 Residues of squares, sequence curiosities and parabolas galore
 A poll on peoples’ beliefs on reincarnation
 Making of a modernday mantraśāstra pamphlet
 Some words on mathematical truth, scientific conviction and the sociology of science
 A note on the least prime divisor sequences of 2p plus or minus 1
 A note on āmreḍitas in the Ṛgveda and issues of word distribution
 The amazonian banana republic: the strīrājya in Hindu tradition
 Sītā in the pyre
 A sequence related to prime counting
 Convergence to a palindrome
 A problem from 600 CE and some curiosities of Āryabhaṭa’s kuṭṭaka algorithm
 A brief note on some new developments regarding the genomics of Indians
 The remarkable behavior of a map displaying derived from a simple model for a biological conflict
 A day at school
 Mongolica: Qubilai Khan’s campaign to destroy the Southern Song
 The quotient triangle, the parabolahyperbola sequence, the remainder triangle and perfect numbers
 Counting primes, arithmetic functions, Ramanujan and the like
 Our autodiscovery of the Möbius and Mertens sequences
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Tag Archives: Gauss
A note on the least prime divisor sequences of 2p plus or minus 1
Let be the sequence of prime numbers: 2, 3, 5, 7… Define the sequences such that . Then sequence is defined such that is the lowest prime divisor (LPD) of and sequence is defined so that is the LPD of … Continue reading
Posted in Scientific ramblings
Tagged Gauss, mathematical entity, mathematics, prime numbers, sequence
A sequence related to prime counting
The current note arose as an exploration branching off from the matter discussed in these earlier notes: this one and this one. As we saw before, Carl Gauss, while still in his teens, produced his first estimate of the prime … Continue reading
Posted in Scientific ramblings
Tagged Gauss, mathematics, prime numbers, sequence
Counting primes, arithmetic functions, Ramanujan and the like
We originally wished to have a tailpiece for our previous note that would describe more precisely the relationship between the Möbius function and the distribution of prime numbers. However, since that would have needed a bit of a detour in … Continue reading
Posted in History, Scientific ramblings
Tagged complex numbers, Euler, Gauss, mathematics, prime numbers, Ramanujan, Riemann
Of lives of men; of times of menII
Of lives of men; of times of menI Vidrum: “When we attended the discussions at the Right Wing Debate club we heard the president Rammandir Mishra repeatedly emphasize that South Asian civilization was not a ‘historycentric’ civilization and that historycentricism … Continue reading
Posted in Heathen thought, History, Life
Tagged ancient Hindu thought, Euler, Gauss, Hindu, Hindu knowledge, Hindu science, Hindus, history, Ramanujan, Riemann, Story, world history
Triangles, Hexes and Cubes
One philosophical question which we have often ponder about is: Are numbers “real”? One way to approach this question is via figurate numbers, where numbers directly manifest as very tangible geometry. This idea has deep roots in our tradition: as … Continue reading
Posted in art, Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, Euler, figurate numbers, Gauss, Geometric construction, geometry, hex, Hindu mathematics, nIlakaNTha somayAjin, recreational geometry, sequence, series sum, square, sum, triangular
The square root spiral and the Gamma function: entwined analogies
The topic discussed here is something on which considerable serious mathematical literature has published by P.J Davis, W. Gautschi and others. This partly historical narration is just a personal account of our journey through the same as a nonmathematician. As … Continue reading
Posted in art, Scientific ramblings
Tagged Descartes, Gamma function, Gauss, geometry, Hindu mathematics, mathematical entity, mathematics, recreational geometry, recursion, spiral, square root
Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
The biochemist Albert SzentGyörgyi had famously remarked that as he successively, journeyed for a better understanding of life from cell biology, to physiology, to pharmacology, to bacteriology, to biochemistry, to physical chemistry to quantum mechanics he lost life between his … Continue reading
Posted in History, Life, Scientific ramblings
Tagged Einstein, Euclid, Euler, Gauss, geometry, Greek thought, Noneuclidean geometry, Riemann, Thabit ibn Kurra